Seminars 2012-2013

 Date Lecturer Topic
05/06/2013Mr. Roman Shklyar

Ariel University, Israel

Stability of delay equations

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.

22/05/2013Dr.  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.

13/03/2013Dr. 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

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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

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13/02/2013

Roman Koplatadze

Department of Mathematics of I. Javakhishvili Tbilisi State University,

I. Vekua Institute of Applied Mathematics of TSU, Tbilisi, Georgia

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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

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06/02/2013B. Shklyar
Department of Applied Mathematics,
Holon Institute of Technology,
Holon, Israel
Strongly minimal families of exponents and controllability of  abstract differential
equations
23/01/2013Yakov 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.

28/11/2012Prof. 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

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.