Integrodifferential evolution systems with nonlocal initial conditions

Authors

  • Sylvain Koumla Université Adam Barka, Abéché
  • Radu Precup Babeş-Bolyai University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.24193/subbmath.2020.1.08

Keywords:

integrodifferential equation, nonlinear evolution equation, nonlocal initial condition.

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.

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Published

2020-03-08

Issue

Section

Articles