Study on Integrodifferential Evolution Systems with Nonlocal Initial Conditions

Authors

  • Sylvain Koumla Department of Mathematics, Faculty of Sciences and Technical, Adam Barka University, B.P. 1173, Abeche, Chad.
  • Radu Precup Institute of Advanced Studies in Sciences and Technology, Babes–Bolyai University, 400084 Cluj-Napoca, Romania. & Tiberiu Popviciu Institute of Numerical Analysis, Romanian Academy, P.O. Box 68-1, 400110 Cluj-Napocca, Romanian.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v5/3535F

Keywords:

Integrodifferential equations, nonlinear evolution equation, nonlocal initial condition, delay, krasnoselskii’s fixed point theorem for a sum of operators

Abstract

The work is concerned with systems of abstract integrodifferential equations with general nonlocal initial conditions. To allow the nonlinear terms of the equations to behave as independently as possible, we employ 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 system's hybridity and the support for nonlocal initial conditions. To demonstrate the principle, two examples are given.

Published

2021-11-22

How to Cite

Sylvain Koumla, & Radu Precup. (2021). Study on Integrodifferential Evolution Systems with Nonlocal Initial Conditions. Recent Advances in Mathematical Research and Computer Science Vol. 5, 13–27. https://doi.org/10.9734/bpi/ramrcs/v5/3535F

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 5

Section

Chapters