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
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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
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