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, Studia Univ. Babes-Bolyai Math.65 (2020), 93-108, http://dx.doi.org/10.24193/subbmath.2020.1.08
About this paper
Journal
Studia Universitatis Babeş-Bolyai Mathematica
Publisher Name
Print ISSN
0252-1938
Online ISSN
2065-961X
ISSN-L 0252-1938
google scholar link
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