Integrodifferential evolution systems with nonlocal initial conditions


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.


Sylvain Koumla
Universite Adam Barka, Abeche, Chad

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


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

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S. Koumla, R. Precup, Integrodifferential evolution systems with nonlocal initial conditions, Studia Univ. Babes-Bolyai Math.65 (2020), 93-108,


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Studia Universitatis Babeş-Bolyai Mathematica

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