logo                                                                                                                                                           

 

 

Prof. Dr. Goltser Yakov

 

   

 

 Education

 

  1962    M. Sc. in Mathematics and Physics, The Semipalatinsk  State Pedagogical Institute.  Graduation cum laude.

 

  1967   Ph.D. in Mathematics, The Institute of Mathematics and Mechanics of the KazSSR Academy of  Sciences,   Alma-Ata.

 Advisor:  Yataev M.Y.

 Thesis:  Stability of Stationary and Periodic Motion in Critical Case of the Several Pairs of  Pure Imaginary Roots.

 

  1987  D.Sc. The Ural Scientific Center, The Institute of Mathematics and Mechanics  of the USSR Academy of Sciences, Sverdlovsk.

 

 Thesis:  Stability and Oscillations of  Parametrically  Perturbed Resonance Systems.

 

 

Employment History

 

2001- Full Professor,  Ariel University Center of Samaria.

 

1991-2000 Research Project, the Ministry of Science, the Ministry  of Absorption, Associated Professor, The College of Judea and  Samaria,  The Research Institute, Ariel.

 

 1987-1990 Full Professor, Head of the Department of   the Mathematical   Analysis, of Kazakh State     Pedagogical University (KSPU), USSR,  Alma-Ata.

 

 1977-1987   Associated Professor, KSPU, Alma-Ata

 1977-1987   Visiting  Lecturer, Postgraduate Teacher's Training College, Alma-Ata

 

 1975-1977   Senior Staff  Scientist, Department of   Mathematics, KSPU, Alma-Ata.

 

 1969-1975   Associated Professor, KSPU, Alma-Ata.  

 

 1967-1969   Senior Lecturer, Department of Mathematics, KSPU,  Alma-Ata.

 

 1964 -1967  Post-Graduate Student,   Department of Mathematics, KSPU, Alma-Ata.

 

 1962-1964   Lecturer,   Department  of  Mathematics, KSPU, Alma-Ata.

 

 

PROFESSIONAL ACTIVITIES

 

 

a) 1986-1990. Member of the Scientific Council of Kazakh State Pedagogical University, Member of the Specialized Council of the Institute of Mathematics and Mechanics Academy of Science KazSSR

Member of the Specialized Council of the Department of Mathematics, Kazakh State University for awarding of the Ph.D. graduation in Mathematics.

 

b) 1993-2005.  Member of Editorial board of the “Functional Differential Equations  journal.

    

1985-1990.   Editor-in-Chief of the Proceedings on Mathematical  Science of the Ministry of Education KazSSR.

 

 1975-1985.   Member of Editorial  Board of the Proceedings on Mathematical Science of the Ministry of Education KazSSR.

  

1972-1975.  Editor-in-Chief of the Proceeding of the Seminar of the Stability Theory,  Alma-Ata.

 

c) 1993-2005.  Membership of the Israel Mathematical Union,

  

1995- 2005.  Membership of International Federation of  Nonlinear  Analysts.

 

 d) 1998.  Member of organizing committees of International  conference  “Functional Differential Equations”, Ariel, Israel.  

 

Educational activities

 

 a) Mathematical Analysis, Functional Analysis, Theory of Functions, Ordinary Differential Equations, Theory of Stability,  Qualitative Theory of Differential Equation, Introduction to  Theory of Bifurcation, Analytic Geometry, Linear Algebra, Partial Differential Equations, Theory of functions of a complex variables.

 

 

 b) Post-Graduate student scientific adviser in Mathematics:

 

1991- Muravjev S.F., Ph.D. Kazakh State University,

 

1991- Shatalova N.P., Ph.D., Institute of Mathematics and Mechanics, Academy of Science KazSSR ,

 

1990- Nisambajev Gh., Ph.D., Kazakh State University,

 

1989- Aitov Gh., Ph.D., Institute of Mathematics and Mechanics, Academy of Science KazSSR,

 

1985- Bostanov U., Ph.D., Institute of Mathematics and Mechanics Academy of Science KazSSR,

 

1983- Turmagambetova K.V., Ph.D., Kazakh State University,

 

1982- Bopaev K., Institute of Mathematics and Mechanics Academy of Science KazSSR,

 

1981-Nurpeisov S. ., Institute of Mathematics and Mechanics Academy of Science KazSSR,

 

 

Scientific Publications

 

 

.

       B. PUBLISHED

   

 1. Goltser Ya.M.: On the stability investigation of a critical case of stationary systems, In: Scientific papers, Kazakh Pedagogical Institute, Alma-Ata, 1966, v.23, pp.26-35.

 

 2. Goltser Ya.M.:  On a method for studying stability in a critical case of n pairs of purely imaginary roots, In: Mathematics, Kazakh State University, Alma-Ata, 1966, No.1, part 1, pp.153-157.

 

3. Goltser Ya.M.: On the problem of distinction between non-safe and safe boundaries of the stability domain of dynamics systems, in collection: Technical sciences, Kazakh Polytechnic Institute,

 Alma-Ata, 1967, v. 4, No.13, pp.5-11.

 

4. Goltser Ya.M.: On a critical case of stability, Izvestia Acad. Sc. KazSSR, phys. and math. series, 1967, No.3, pp.64-72.

 

5. Goltser Ya.M.: On the stability of almost periodical systems in a critical case, Proceedings of a scientific conference, Kazakh pedagogical Institute, Alma-Ata, 1968, pp.257-264.

 

 6. Goltser Ya.M.: On the study of the stability of periodical motion in a critical case of several pairs of purely imaginary roots,  Proceedings of a seminar on the theory of stability  motion, Alma-Ata, 1969, No.1, pp.29-38.

 

7. Goltser Ya.M.: On the transformation of a system of differential equations with resonance, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1969, No.2, pp.10-16.

 

 8. Goltser Ya.M., Nurpeisov S.: On the aspect of stabilization of a non-linear controlled system in        critical case, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1969, No.2, pp.26-32.   

  9. Goltser Ya.M., Nurpeisov S. On the stabilization of a nonlinear systems with non-analytic control,

Proceeding of seminar on the theory of motion stability,  Alma-Ata, 1969, No.2, pp. 46-52.

 

10. Goltser Ya.M.: On the stability criteria in a critical case, Proceedings of seminar on the theory of

 Motion stability, Alma-Ata, 1970, No.3, pp 3-8

 

11. Goltser Ya.M., Nurpeisov S.: On the study of stability in the presence of inner resonance of the      odd order, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1970, No.3, pp. 19-24.

 

12. Goltser Ya.M., Nurpeisov S. On the stabilization of a non-linear controlled system in resonance     case, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1970,

  No.3, pp.57-66.

 

 13. Goltser Ya.M.: On the study of a critical case of n pairs of purely imaginary roots (I), Izvestia Acad. Sc. KazSSR, phys. and math. Series, 1970, No.3, pp.23-29.

 

14. Goltser Ya.M.: On the study of a critical case of n pairs of purely imaginary roots (II), Izvestia    Acad. Sc. KazSSR, phys. and math. Series, 1971, No.3, pp.29-33

 

15. Goltser Ya.M.: On a method for studying the stability of periodical motions in a critical case of several pairs of purely imaginary roots, in: Mathematics and Mechanics, Kazakh. State University,

Alma-Ata, 1971, No.6, pp.41-48.

 

16. Goltser Ya.M., Bopayev K.: A study of the stability of difference equations   in a critical case, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1972, No.4, pp.1-7.

 

17. Goltser Ya.M., Bopayev K.: On the construction of Lyapunov's function in critical case, In

Collection: Proceedings of seminar on the theory of motion stability, Alma-Ata, 1972, No.4, pp.8-15.

 

18. Goltser Ya.M., Nurpeisov S.: On the study of a critical case in   the presence of inner resonance,   Izvestia Acad. Sc. KazSSR, phys. and math. Series, 1972, No.1, pp.18-22.

 

19. Goltser Ya.M., Nurpeisov S.: On the instability in the presence of inner resonance,: Proceedings of seminar on the theory  of motion stability, Alma-Ata, 1972, No.4, pp.32-38.

 

20. Goltser Ya.M.: Some results on the study of a critical case, In book:  Materials of the All-Union    conference on the qualitative theory of differential equations, Samarqand, 1973, pp.73-75.

 

21. Goltser Ya.M.: A study of stability with internal resonance, in book: Materials of the All-Union conference on the qualitative theory of differential equations, Samarqand, 1973, pp.37-41.

 

22. Goltser Ya.M., Bopayev K.: On the study of the stability of difference equation systems in a critical case, Izvestia Acad. Sc. KazSSR, phys. and math. Series, 1974, No.3, pp.18-24.

 

23. Goltser Ya.M., Bopayev K.: The reduction of a non-linear systems of difference equations to a linear one, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1974, No.5, pp.3-13.

 

24. Goltser Ya.M., Bopayev K.: On the solvability of some linear systems of difference equations, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1974, No.5, pp.24-30

 

25. Goltser Ya.M., Bostanov U.: On the construction of Lyapunov's   function in a complex domain,    In: Mathematical sciences, Kazakh Pedagogical Institute, Alma-Ata, 1975, No.2, pp.40-52.

 

26. Goltser Ya.M.: On the study of stability in a critical cases and   normal forms, Proceedings of seminar on the theory of motion stability, Alma-Ata, 1975, No.5, pp.3-13.

 

27. Goltser Ya.M., Kunitsin A.L.: On stability of autonomous systems with internal resonance, Applied mathematics and mechanics (PMM), v.39, No.6, 1975, pp.974-986.

 

28. Goltser Ya.M.: The normal form and stability of a class of almost periodical systems, Izvestia Acad .Sc. KazSSR, phys. and math. Series, No.5, 1976, pp.58-63.

.

29. Goltser Ya.M.: Bifurcations and strong stability of resonant parametrically-perturbed systems, In book: Theoretichna I prilozhna mekhanika, 3 Kongress Bolgarska Academia na naukite, Sofia, 1977, pp.29-34.

 

30. Goltser Ya.M.: On the strong stability of resonance systems with parametrical perturbations, applied mathematics and mechanics (PMM), Acad. Sc. USSR, No.2, v.41, 1977, pp.251-261.

 

31. Goltser Ya.M.: The study of a class of complex systems with   the help of Lyapunov's polynomial functions, in:  Differential Equations, No.4, Alma-Ata, 1977, pp.3-20.

 

32. Goltser Ya.M., Kharlip A.D.: Continuous normal form and limit cycles, In book: Theoretical and applied tasks of mathematics and mechanics, Acad. Sc. KazSSR, Alma-Ata, 1977, pp.113-121.

 

33. Goltser Ya.M., Aitov Gh.: On invariant curves of parametrical perturbed systems of difference equations, In: Differential Equations, No.4, Alma-Ata, 1977, pp.30-40.

 

34. Goltser Ya.M.: On some aspects of normalization of parametrically   perturbed systems of differential equations, Izvestia Acad.Sc. KazSSR, phys. and math. Series, No.5, 1978,  pp.23-27.

 

 35. Goltser Ya.M., Bostanov U.: A many-dimensional analogue of the focus and center problem, In: Qualitative theory of differential equations, Alma-Ata, 1979, pp.15-22.

 

36. Goltser Ya.M.: Bifurcation and stability of neutral systems in the neighborhood of third order resonance, Applied mathematics and mechanics (PMM), v.43, No.3, 1979, pp.429-440.

 

37. Goltser Ya, M.: On bifurcation and strong stability of neutral  systems under parametrical perturbations, In book: Stability  theory and its applications, Nauka, Novosibirsk, 1979, pp.24-31.

.

38. Goltser Ya.M.: On the stability of a neutral fixed points of autonomous mappings with resonance, Differential equations, v.15, No.12, 1979, pp.2130-2141.

 

39.Goltser Ya.M., Kunitsin A.L., Tkhai V.M.: On the roughness of  the instability property of a class   resonance systems,  Communication on applied mathematics, Acad. Sc. USSR,  Computing center, Moscow, 1980, 12p.

 

40. Goltser Ya.M.: Resonance oscillations of parametrically perturbed autonomous systems, In: Differential equations, Alma-Ata, 1981, pp.3-17

 

41. Goltser Ya.M., Turmagambetova K.: Continuous normalization of a  class of parametrically perturbed systems, In: Differential equations,  Alma-Ata, 1981, pp.17-25.

 

42. Goltser Ya.M.: Continuous normal form of a class of non-autonomous systems and its applications, Applied mathematics and mechanics, (PMM) v.47, No.1, 1983, pp.27-36.

 

43. Goltser Ya.M.: Normalization, stability, and oscillation of quasi parametrically-perturbed systems, in book: Motion stability, Nauka, Novosibirsk, 1985, pp.167-171.

 

44. Goltser Ya.M.: On the extent of proximity of neutral systems to  internal resonance, Applied mathematics and mechanics (PMM),  v.50, No.6, 1986, pp. 945-954.

 

45. Goltser Ya.M., Pshenbaev S.: On the investigation of linear singular systems with a vector parameter, Izvestia Acad. Sc. KazSSR, phys. and math., series, No.5, 1987, pp.15-19.

 

46. Goltser Ya.M.: Cone, positive definite forms and extreme problems, In: Investigations  on the algebraic theory of numbers and constructive algebra, Alma-Ata, 1988, pp.64-71.

 

47. Goltser Ya.M.: Normalization of parametrically perturbed nonlinear difference equations in a critical cases, Izvestia of Ac. Sc.KazSSR, phys. and math. Series, No.3, 1989, Dep.No.8080-B 88,

 14 p.

 

48. Goltser Ya.M., Kharlip A.D.: On the problem of stabilization of angular motions of a satellite    relative to the center of mass, Izvestia of Acad.  Sc.  KazSSR, phys. and math. Series, No.1, 1990, pp.14-18.

 

49. Goltser Ya.M.: The process of normalization and solution of bifurcation problems of the oscillation and stability theory: a synopsis, Functional-Differential Equation, v.1, 1993, pp.108-125.

 

50. Goltser Ya.M.: Bifurcation of totally stable steady resonance modes, Functional-Differential equations, v.2, 1994, pp. 77-90.

 

51. Goltser Ya.M.: Stability of mappings with a spectrum on a unit circle, Journal of Mathematical Analysis and Applications, 1995, v. 196, pp. 841-860

 

52. Goltser Ya.M.: Neutral mappings stability in the vicinity of 1:1:1 resonance, Functional Differential Equations, 1996, vol.3, No. 3-4, pp. 321-344.

 

53. Goltser Ya.M.:  On the stability of differential equation systems with the spectrum on the imaginary axis, Functional Differential Equations, 1997, v.4, No.1-2, pp. 47-64.

 

54. Goltser Ya.M. : Some bifurcation problems of stability, Nonlinear Analysis, TMA,1997, v.30, No. 3, pp. 1461-1467.

 

55. Goltser Ya.M.: On the bifurcation of invariant torus in the mappings with a spectrum on a unit circle, Functional Differential Equations, 1998, v.5, No.1-2, pp. 121-138.

 

56. Goltser Ya.M.: Invariant rays and Lyapunov functions, Functional Differential Equations, 1999,

v.6, No.1-2, pp 91-101.

 

57. Goltser Ya.M., Domoshnitsky A.: Hopf Bifurcation of integro-differential equations, EJ QTDE, 2000, No.3, pp. 1-11.

 

 58. Goltser Ya.M.: On stability and bifurcations in nonlinear systems of differential equations,

International Conference on Differential Equations, Berlin 1999, vol. 2, World Scientist, 2000, 1427-1429.

 

59. Goltser Ya.M, Domoshnitsky A.: On stability of linearized model of phase transition, Functional Differential Equations, 7, 2000, No1-2, 99-108.

 

60. Goltser Ya.M., Domoshnitsky A.: Constructive approach to phase transition model, Functional Differential Equations, 7, 2000, No3-4, 269-278.

 

61. Goltser Ya.M., Domoshnitsky A.: Bifurcations and stability of integro-differential equations, Nonlinear Analysis, TMA, 47(2001), 953-967.

 

62. .Goltser Ya.M, Domoshnitsky A.: One Approach to study of stability of integro-differential equations, Nonlinear Analysis, TMA, 47(2001), 3885-3896.

 

63. Goltser Ya.M., Domoshnitsky A.: Approach to study of bifurcations and stability of  integro- differential equations, J. Math. And Computer Modeling, 36(2002), 663-678

 

64. Goltser Ya., Agranovich G.:  Normal form and parametric resonance in linear almost periodic systems, Functional Differential Equations, 9, No 1-2, 2002, 117-134.

 

65. Goltser Ya., Domoshnitsky A.: Floquet theorem and stability of linear integro-differential equations, Functional Differential Equations, 10, No 3-4, 2003, 463-471

 

66. Goltser Ya., E.Litsyn: Volterra Integro-Differential Equations and Infinite Systems of Ordinary Differential Equations, Mathematical and Computer Modeling 42(2005), 221-233

 

67. Goltser Ya., Domoshnitsky A ": On stability and boundary value problem for integro – differential equations, Nonlinear analysis, 63(2005), 5-7, e761-e767.

 

 

68. R.Agarwal, M.Bohner, A.Domoshnitsky and Y.Goltser: Floquet theorem and stability of nonlinear integro-differential Equations, Acta math. Hungar, 109(4), (2005), 305-330.

 

69. R.Agarwal, A. Domoshnitsky and Y.Goltser: Stability of partial functional integro-differential equations, Journal of Dynamical and Control Systems, vol. 12, No. 1,January 2006, 1-31.

 

 

70. A.Domoshnitsky, Y.Goltser and D.Ophir: Numerical approach to studying stability of  integro-differential systems, Proceedings of the Fourth International Conference on mathematical Modeling and Computer Simulation of  Materials Technologies, MMT-2006,

 

71.Goltser Ya., On bifurcation of Steady Resonance Modes for Nonlinear Integro- differential Equations, DCDIS 2,(2006) 239-251, Differential Equations and Dynamical systems.

 

72. A.Domoshnitsky, Ya.Goltser, Positivity of solution to boundary value problem for infinite functional differential systems, Mathematical and Computer Modeling, vol. 45, No. 11-12, June 2007, 1395-1404.

 

73. Goltser Ya. Litsyn E. Non-linear Volterra IDE, infinite systems and normal form of ODE, Nonlinear Analysis, TMA, series A, 68 (2008) 1553-1569.

 

74. Goltser Ya., Litsyn E. Normal form of countable systems and bifurcation in integro-differential Volterra equations, Functional Differential Equations, vol.16, No 2, 2009, 279-298.

 

75. Goltser Ya.M. Domoshnitsky A. Singular perturbed integro-differential Volterra equation

And Drazin’s inverse singular matrices, Nonlinear Analysis, (71)2009, e1765-e1770

 

7676. Goltser Ya. Litsyn E. Normal form of countable systems and bifurcation in integro-differential Volterra equations , Functional Differential Equations, 16, No 2, 2009, 279-298

 

77. Bunimovich S, Goltser Ya. Use of Quasi-Normal Form to examine stability of equilibrium

In a Mathematical Model of BCG treatment of  Bladder Cancer, Mathematical Biosciences and Engineering, vol. 8, No. 2, April 2011, pp.529-547

 

78. Goltser Ya. Investigation of integro-differential equations with distributed delay by reduction method, Functional Differential Equations, vol. 18, No 3-4, 2011, 229-239.

 

79. . Goltser Ya.M. Domoshnitsky A. About redusing integro-differential equations with infinite limits of integration to systems of ordinary differential equations. Advances in Difference Equations 2013, 2013:187

 

 

 

 

Lecturer and Presentation

 

1. Goltser Ya.M.: On a transcendent case of stability, Republican Conference of young scientist, Alma-Ata, 1970, Abstracts, p.21.

 

2. Goltser Ya.M. Bopayev K.: A study of the stability of difference equation systems in a critical cases, Republican Conference on Mathematics and Mechanics, Abstracts, Alma-Ata, 1971, part

1, pp.55-56.

 

3.Goltser Ya.M.: On the study of periodic motion in a critical case,  Republican Conference on mathematics and mechanics, Abstracts,  part 1, Mathematics, 1971, Alma-Ata, pp.98-99.

 

4. Goltser Ya.M., Bopayev K.: On the transformation of a system of difference equations, Republican Conference of young scientist, Alma-Ata, 1972, pp.175-177.

 

5. Goltser Ya.M., Nurpeisov S.: On stability in a critical case of  n pairs purely imaginary roots with resonance, Republican  Conference of young scientist, Alma-Ata, 1972, pp.73-75.

 

6.Goltser Ya.M.: Some results on the study of a critical cases,   All-Union Conference on the qualitative theory of differential  equations, Samarqand, 1973,  Abstracts, pp.73-75.

 

7.Goltser Ya.M., Nurpeisov S.: A study of stability in the presence of  inner resonance, All-Union Conference on the qualitative theory of differential equations,  Samarkand, 1973, Abstracts, pp.37-41.

 

8. Goltser Ya.M.: A study of stability in critical cases and the normal form, Republican Conference on mathematics and Mechanics, Alma-Ata, 1975, Mathematics, part 1, pp.40-41.

 

9. Goltser Ya.M.: Bifurcation and strong stability of resonant parametrically-perturbed systems, 3 Kongress Bolgarska Academia na naukite,1977,  Sofia, Teoretichna i prilojna mekhanika,pp.29-34.

 

10. Goltser Ya.M.: The continuous normal form and some of its application, Republican Conference on mathematics and Mechanics, Alma-Ata,1977,  Mathematics, part 1,p.50.

 

11.Goltser Ya.M.: On bifurcations and strong stability of neutral systems with parametrical perturbations, 3-rd All-Union Conference on motion stability, analytical mechanics and control of motion, Irkutsk,1977, pp.46-47.

 

12. Goltser Ya.M.: Continuous normal form and its applications in critical and  near-critical cases, All-Union Conference on motion stability, oscillations  of mechanical systems and aerodynamics, Moscow, Abstracts,1978, p.9.

 

13.Goltser Ya.M.: On the stability of resonance and non-resonance systems  neutral in the linear approximation, All-Union Conference on the  Qualitative theory of differential equations, Kishinev, Shtiintsa, 1979, p.52.

 

14. Goltser Ya.M., Turmagambetova K.: On some local problems in parametrically  perturbed systems, Republican Conference on the Application  of computer and mathematical method ..., Alma-Ata, 1980, p.73.

 

15. Goltser Ya.M., Turmagambetova K.: On bifurcations in nonlinear systems,  Republican Conference, 1981, Karaganda, Abstracts, pp.58-59.

 

16. Goltser Ya.M.: On local study of parametrically perturbed systems, 5 All-Union Conference on Theoretical and Applied Mechanics , 1981, Abstracts, p.118.

 

17. Goltser Ya.M.: Normalization, stability and oscillations of   nonlinear systems, 3-rd All-Union Chetayev's Conference on motion stability, 1982, Abstracts, p.16.

 

18.Goltser Ya.M.: On the proximity of neutral systems to resonance,   8-th Republican Conferences, Alma-Ata, 1984, Abstracts, part 1,p.74.

 

19. Goltser Ya.M.: A change of stability in neutral parametrically perturbed systems and resonance danger, 3-rd All-Union Congress on Theoretical and Applied Mechanics, Tashkent,1986.

 

 

20. Goltser Ya.M.: Normalization and stability of some classes of non-autonomous systems, 5-rd, All-Union conference "Analytical mechanics, motion stability and control", Kazan,.1987, p.31.

 

21. Goltser Ya.M., Kharlip A.D.: On some problems in parametrical perturbed systems, All-Union conference on motion stability, oscillations of mechanical systems, aerodynamics, Moscow, 1988.

 

 

22. Goltser Ya.M.: Some new bifurcation problems in the stability theory,   Materials of the scientific conference, Alma-Ata, 1988, p.23.

 

23. Goltser Ya.M.: A change of stability and stationary modes in  parametrically perturbed systems, 9-rd Republican conference on mathematics and mechanics, Abstracts, part 1,Alma-Ata, 1989,p.51.

 

 24. Goltser Ya.M.: Stability and stability change of parametrically perturbed mappings near the resonance, Fifth International Colloquium on Differential Equations, Bulgaria, 1994, Abstracts, p.70.

 

25. Goltser Ya.M.: Some bifurcation problems of stability theory, The Second World Congress of Nonlinear Analysts, Athens, Greece, 1996, Official program, p.42

 

26.Goltser Ya.M.: Stability and stabilization of neutral systems, Eighth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 1997, Abstracts, p.87.

 

27. Goltser Ya.M.: Invariant rays, Lyapunov functions and Bifurcations, International Conference

“Functional Differential Equations”,  Ariel, Israel, 1998, Abstract, p.17.

 

28. Goltser Ya.M.: On Stability and Bifurcation in nonlinear systems of differential equations,

Workshop on Qualitative theory of differential equations,  Brno, 1998.

 

29. Goltser Ya.M. Stability and bifurcations in discrete, parametrically perturbed dynamic systems,

First International Conference on Discrete Chaotic Dynamics in Nature and Society (DCDNS),

Beer-Sheva, 1998, Abstracts, pp.21-22.

 

30.Goltser Ya.M., Domoshnitsky A.: Convolution integro-differential equations: asymptotic    properties, stability and bifurcations, Sixth Colloquium on the Qualitative theory of Differential   Equations, Szeged, Hungary, 1999,  Abstracts , p.16.

 

31. Goltser Ya.M. On Stability and bifurcations in nonlinear systems, Equadiff-99, Berlin, 1999,

Abstracts, p. 320.

 

32.Goltser Ya.M., Domoshnitsky A.: Stability and bifurcations for some classes of integro-differential equations, The Third World Congress of Nonlinear Analysts,  Catania, Italy, 2000, Official Program, p.16.

 

33. Goltser Ya.M., Domoshnitsky A.: One approach to study of boundary value problems and stability of integro-differential equations, The Third World Congress of Nonlinear Analysts, Catania, Italy, 2000, Official Program, p. 8 .

 

34.Goltser Ya.M,: Normal forms of parametrically perturbed systems and their applications, International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, London, Ontario, Canada, 2001,p.58.

 

35. Goltser Ya., Domoshnitsky A.: Floquet-Lyapunov theorems for integro-differential equations, EQUADIFF-10, Prague, Czech Republic, 2001, Abstracts, p.37.

 

36. Goltser Ya., Domoshnitsky A.: Floquet theorem for integro-differential equations, Int.Conference Functional Differential Equations and Applications, Beer-Sheva, Israel, 2002, Abstracts,p. 24.

 

37. Goltser Ya., Domoshnitsky A.: Periodic integro-differential equations: Floquet representations, stability and bifurcations, International Conference on Differential and Functional Differential Equations, Moscow, Russia, 2002.

 

38. Goltser Ya., Domoshnitsky A.: The Floquet theory and stability of integro-differential equations, Seventh Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungary, 2003.

 

39.Goltser Ya., Litsin E.: Volterra integro-differential equations and infinite systems of ordinary differential equations,  Seventh Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungary, 2003.

 

40. Goltser Ya., Domoshnitsky A.: The Floquet theory and stability of integro-differential equations, Seventh Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungary, 2003.

 

41. .Goltser Ya, Litsin E.: Nonlinear Volterra IDE, Infinite systems and Normal forms of ODE,

International Conference on Differential Equations and Applications in Mathematical Biology, Nanaimo, BC, Canada, 2004

 

42. Goltser Ya., A. Domoshnistky, On stability and boundary value problems for integro-differential equations, The Fourth World Congress of Nonlinear Analysts, Orlando, Florida, USA, 2004.

 

43. Goltser Ya., About an appearance of stationary resonance regimes for nonlinear integro-differential equation, EQUADIFF 11, Bratislava, Slovakia, 2005.

 

44. Goltser Ya., Bifurcation and stability problems of Volterra IDE and Countable systems of ODE, International workshop on Differential Equations and Dynamical Systems, Guelph, Ontario, Canada, 2005.

45. Goltser Ya., Normal Form of Countable Systems and Bifurcation in Integro-Differential

Volterra Equations,  International Congress of Mathematicians, Madrid, 2006.

  

46.  Goltser Ya., On Bifurcation of Steady Resonance Modes for Nonlinear Integro-Differential Equations, Fourth International Conference on mathematical Modeling and Computer Simulationof Materials Technologies, MMT-2006, Ariel, Israel.

 

47  A. Domoshnitsky, Y. Goltser and D. Ophir: Numerical approach to studying stability of  integro-differential systems, Fourth International Conference on mathematical Modeling and Computer Simulation of Materials Technologies, MMT-2006, Ariel, Israel.

 

48. Goltser Ya. Singular perturbed Integro-Differential Volterra Equations and Drazin Inverse of Singular Matrices, EQUADIFF 2007, Vienna, Austria, 2007

 

49. Goltser Ya. Some problems in the theory of integro-differential equations,  The V World Congress of Nonlinear Analysts, Orlando, Florida, USA, 2008.

 

50. Goltser Ya. Investigation of integro-differential equations with distributed delay by reduction method, Functional Differential Equations and Applications,

Research Workshop of Israel Science Foundation, 29.8-2.92010, Ariel, Israel:

 

51. Bunimovich S., Goltser Ya. Use of Quasi-Normal Form to examine stability of equilibrium

In a Mathematical Model of  BCG treatment of  Bladder Cancer,

Functional Differential Equations and Applications,Research Workshop of Israel Science Foundation, 29.8-2.9, 2010, Ariel, Israel

 

52. Goltser Ya. Research of integro-differential equations with distributed delay by reduction method,

Second Czech-Israel Worcshop, Brno ,Czech Republic, June 25-26, 2011

 

53. Goltser Ya., A. Domoshnistky,  Integro-differential equations with distribute delay or advanced,

 

9th Colloquium on the Qualitative Theory of Differential Equations,  June 28-July 1, Szeged, Hungary, 2011.

 

54.Goltser Y. On stability of some oscillating system of integro-differential equations,

Functional Differential Equations and Applications (FDEA 2014), Ariel, Israel,

 

55.Goltser Y. Damped Oscillatory nonlinear Systems,5th Israeli-Chech Workshop on functional differential equations,21-24 august 2014, Ariel University, Ariel, 44837, Israel,2014

 

 

Present Academic Activities

 

1.  Stability of neutral resonance and non-resonance systems ordinary differential equations and mappings.

 

 2. Development of method of Poincare's normal form for a parametrically perturbed system and its applications in Qualitative theory of differential and difference equations.

 

3. A Bifurcation problems of Stability theory and Nonlinear Oscillation: Strong stability and stability change, resonance stabilization, resonance danger, birth of steady resonance  and non resonance modes in parametrically perturbed systems of differential equations and mappings, Andronov-Hopf's   bifurcation’s,  Bifurcation of Invariant torus.

 

4. Development of reduction method for  Integro-Differential Equations and its applications to study of  Bifurcations  Phenomena and Stability.

 

5. Countable Systems of Ordinary Differential Equations, Stability and Normal forms of The Countable Systems.

 

6. Applications aspects: Problems in celestial mechanics, control, mathematical biology. For example: The restricted problem of three bodies near resonance; angular stabilization of artificial satellites in regard to center of mass; Stability and Oscillations of Volterra models; Study of model of Phase Transition. ; Study of mathematical model of BCG treatment of bladder cancer.

 

Participants: Pr. Domoshnitsky A., Dr. Bunimovich S.