Integrodifferential evolution systems with nonlocal initial conditions

Abstract

The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii’s fixed point theorem for a sum of two operators. The assumptions take into account the support of the nonlocal initial conditions and the hybrid character of the system. Two examples are given to illustrate the theory.

Authors

Sylvain Koumla
Universite Adam Barka, Abeche, Chad

Radu Precup
Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

integrodifferential equation; nonlinear evolution equation; nonlocal initial condition; delay, Krasnoselskii’s fixed point theorem for a sum of operators.

Paper coordinates

S. Koumla, R. Precup, Integrodifferential evolution systems with nonlocal initial conditions (with S. Koumla), Studia Univ. Babes-Bolyai Math.65 (2020), 93-108, http://dx.doi.org/10.24193/subbmath.2020.1.08

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About this paper

Journal

Studia Universitatis Babeş-Bolyai Mathematica

Publisher Name
Print ISSN

0252-1938

Online ISSN

2065-961X
ISSN-L 0252-1938

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