** **** **

**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.

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

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,** **

9^{th}
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,5^{th} 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.