Study on Integrodifferential Evolution Systems with Nonlocal Initial Conditions

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.

Authors

Sylvain Koumla

Radu Precup
Babes-Bolyai University,
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

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

PDF

?

Cite this paper as:

S. Koumla and R. Precup, Study on Integrodifferential Evolution Systems with Nonlocal Initial Conditions, Recent Advances in Mathematical Research and Computer Science, vol. 5, 2021, pp. 13-27, https://doi.org/10.9734/bpi/ramrcs/v5/3535F

About this paper

Print ISSN

Not available yet.

Online ISSN

Not available yet.

Google Scholar Profile

Related Posts