Study on Integrodifferential Evolution Systems with Nonlocal Initial Conditions | Chapter 2 | Recent Advances in Mathematical Research and Computer Science Vol. 5

 Systems of abstract integrodifferential equations with general nonlocal beginning conditions are the focus of the research. 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 to allow the nonlinear parts of the equations to behave as independently as possible. The assumptions provide for the hybridity of the system as well as the support for nonlocal beginning circumstances. Two examples are offered to show the principle.

Author(S) Details

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.

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