In this talk systems with uncertain coefficients and delays are considered. Results about stability of such systems are presented. The approach is based on the idea of a right regularization of differential delay systems known as W-method.
22/05/2013
Dr. Irina Volinsky
Ariel University, Israel
Green’s functions of impulsive differential equations
Abstract:
We discuss a structure Green’s functions for boundary value problems for impulsive equations. Representation of Green’s functions of various problems are obtained. Various existence and uniqueness results for impulsive boundary value problems, and assertions about positivity/negativity of their Green’s functions will be presented.
13/03/2013
Dr. Efraim Shmerling
Ariel University, Israel
Range Reduction Method for Generating Discrete Random Variables
Abstract
A new general method for generating discrete random variables is presented.
The method is based on reducing the problem of generating a discrete random variable with an extremely large range to generating a random variable with a small range consisting of a few possible values (i.e. range reduction).
The validity of the presented method is proved, its performance examined
and compared to the performance of previously developed general methods. A random number generator for geometric variables of order r based on the range reduction method is given as an illustration of its advantages.
27/02/2013
Roman Koplatadze
Department of Mathematics of I. Javakhishvili Tbilisi State University,
I. Vekua Institute of Applied Mathematics of TSU, Tbilisi, Georgia
14/02/2013
Roman Koplatadze
Department of Mathematics of I. Javakhishvili Tbilisi State University,
I. Vekua Institute of Applied Mathematics of TSU, Tbilisi, Georgia
Essentially Nonlinear Generalized Differential Equation of Emden-Fowler Type with Delay Argument
13/02/2013
Roman Koplatadze
Department of Mathematics of I. Javakhishvili Tbilisi State University,
I. Vekua Institute of Applied Mathematics of TSU, Tbilisi, Georgia
12/02/2013
Roman Koplatadze
Department of Mathematics of I. Javakhishvili Tbilisi State University,
I. Vekua Institute of Applied Mathematics of TSU, Tbilisi, Georgia
On the Positive Solutions of Functional Differential and Discrete Equations
06/02/2013
B. Shklyar Department of Applied Mathematics, Holon Institute of Technology, Holon, Israel
Strongly minimal families of exponents and controllability of abstract differential equations
23/01/2013
Yakov Goltser
Alexander Domoshnitsky
Department of Mathematics and Computer Science,
Ariel University , Israel.
Integro-Differential equations with Distributed Delay and Advance
The goal of talk is to describe the method of the research integro-differential équations with distributed delay (IDDD) and advance.
28/11/2012
Prof. Angela Slavova
Mathematical Institute of Bulgarian Academy of Sciences, Sofya, Bulgaria
Professor Peter Popivanov
Mathematical Institute of Bulgarian Academy of Sciences, Sofiya
Mathematical Modelling of Tsunami Waves
Boundary Value problems for Polynomic Partial Differential Equations Violating Lopatinskii Condition
21/11/2012
Dr. Daniel Alayon
Departamento de Matematicas Puras y Aplicadas
Universidad Simon Bolivar, Carakas, Venezuella
On the structure polynomial of first order linear systems on the plane
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Abstract: We consider the hydrodynamics and magnethydrodynamic models from point of view the Vekua’s theory of Generalized Analytic Functions. Also, the discrete case has been recently studied. An important result of Vekua’s theory of generalized analytic functions is the construction of the canonical form for uniformly and linear elliptic system of equations on the plane by solving an associated Beltrami equation. In this talk we will introduce the concept of structure polynomial of linear first order systems on the plane and show how the induced algebraic structure allows to avoid solving a Beltrami equation for a family of cases even when the system is not uniformly elliptic.