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Symmetry Webinar | Infinite Systems of Nonlinear Differential and Integral Equations

22 Feb 2024, 10:00 (CET)

Nonlinear Differential Equation, Nonlinear Integral Equation, Stability of Solutions, Asymptotic Stability of Solutions, Asymptotic Behaviour of Solutions at Infinity, Infinite System of Nonlinear Differential Equations, Infinite System of Nonlinear Integral Equations, Sequence Banach Space, Compactness Conditions
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Welcome from the Chair

18th Symmetry Webinar

Infinite Systems of Nonlinear Differential and Integral Equations

I would like to warmly welcome all webinar participants. Let me recall the title of the webinar: “Infinite systems of nonlinear differential and integral equations”.

It is my pleasure to chair this webinar. My name is Józef Banaś. My place of work is Department of Nonlinear Analysis at the Rzeszów University of Technology in Rzeszów, Poland. Let me explain that Rzeszów is a city situated in southeastern part of Poland, close to the border with Ukraine.

The subject of our webinar is closely associated with the theory of differential and integral equations and their systems – possibly infinite. Everybody knows that both differential and integral equations play a significant role in description of several real world events and problems. Therefore, the subject of our webinar has very important significance. Let me also announce that infinite systems of such equations begin to have very important significance in description of several events and problems.

Date: 22 February 2024

Time: 10:00 am CET | 05:00 pm CST Asia

Webinar ID: 875 5394 9501

Webinar Secretariat:

Event Chair

Department of Nonlinear Analysis, Rzeszów University of Technology, Poland

Józef Banaś is full professor of mathematics at the Rzeszów University of Technology in Rzeszów, Poland. He received his M.Sc. degree (1972) from Pedagogical University in Rzeszów and Ph.D. degree (1978) from Maria Curie Skłodowska University in Lublin, Poland. In 1998 he received the title of professor of mathematical sciences from President of Republic of Poland. He was a visiting professor at the University of Central Venezuela (2009, 2011, 2013) and at the South Kazakhstan University in Shymkent, Kazakhstan (2013, 2014). Several times he visited universities at Tenerife and Gran Canaria, Spain. He is an author and co-author of 12 books. His the well-known book is entitled “Measures of Noncompactness in Banach Spaces” (with K. Goebel) and was published by Marcel Dekker, New York, in 1980. His research interests include nonlinear analysis and its applications to the theories of differential and integral equations. The author of over 170 papers on nonlinear analysis, differential and integral equations and geometry of Banach spaces.

Keynote Speakers

Department of Mathematics, State University Novi Pazar, Serbia

A well-known result by Cohen and Dunford (1937) states that a regular bounded linear operator cannot be compact. This means that a bounded linear operator from the space of all convergent complex numbers into itself that preserves the limits cannot be compact. We gave a new proof of this result which applies the theory of BK spaces from summability and uses the Hausdorff measure of noncompactness. Furthermore, we present similar recent results involving the spaces of sequences that are strongly summable by the Cesàro method of order 1, and strongly convergent, respectively.
Eberhard Malkowsky is a retired Full Professor of Mathematics. He obtained his Ph.D. degree and habilitation at the Department of Mathematics of the Justus-Liebig Universität Giessen in Germany in 1982 and 1988, respectively. He was a visiting professor at several universities in various countries. Furthermore, he participated as an invited or keynote speaker in numerous international scientific conferences and congresses. He is a member of the editorial boards of many journals of international repute. His list of publications contains 181 research papers in international journals. He is the author or co-author of nine books and monographs and a chapter in a monograph, and the editor or co-editor of nine proceedings of international conferences or special issues of international journals. He supervised 6 Ph.D. theses and a great number of B.Sc. and M.Sc theses in mathematics. His interests include functional analysis, summability, matrix transformations, measures of noncompactness and operator theory.

Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Spain

Ph.D. in Mathematics from the University of La Laguna, I am currently serving as a Professor in the Department of Mathematics at the University of Las Palmas de Gran Canaria, Spain. Throughout my research career, I have published approximately 50 articles in scientific journals that are included in the JCR for Mathematics and Applied Mathematics. My main research interests include: Existence of solutions to differential, integral, and functional equations, and fixed-point theorems.

Department of Mathematics, Universidad de Las Palmas de Gran Canaria, Spain

Ph.D. in Mathematics from the University of Las Palmas de Gran Canaria. I obtained a position as an assistant professor in the Department of Mathematics at the same University. My research so far has focused on the study of fixed point theorems and their applications to differential and integral equations, within the functional analysis group of the ULPGC.

Webinar Recording

The webinar was entirely dedicated to the subject of nonlinear differential and integral equations. Special attention was paid to infinite systems of differential and integral equations. Particularly, the basic and essential facts concerning those systems were presented in order to enable participans to become familiar with that new branch of the theory of equations in questions.

The full recording can be found below. In order to learn about future webinars, you can sign up to our newsletter by clicking “Subscribe” at the top of the page.


Speaker/Presentation Time in CET Time in CST Asia

Prof. Dr. Józef Banaś

Chair Introduction

10:00 -10:10 am 05:00 - 05:10 pm

Prof. Dr. Józef Banaś

An Introduction to the Subject of Infinite Systems of Differential and Integral Equations

10:10 - 10:50 am 05:10 - 05:50 pm

Prof. Dr. Eberhard Malkowsky

Regularity vs Compactness

10:50 - 11:10 am 05:50 - 06:10 pm

Dr. Josefa Caballero

Solvability to a Class of Integral Boundary Value Problems of Fractional Order with Parametric Dependence via a Mixed Monotone Operator Method

11:10 - 11:30 am 06:10 - 06:30 pm

Dr. Jackie Harjani

About the Solution of a Functional Equation in Lipschitz Space

11:30 - 11:50 am 06:30 - 06:50 pm
Q&A Session 11:50 - 12:05 am 06:50 - 07:05 pm

Prof. Dr. Józef Banaś

Closing of Webinar

12:05 - 12:10 am 07:05 - 07:10 pm

Relevant Special Issue

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