Semilinear Mixed Type Integro-Differential Evolution Equations via Kuratowski Measure of Noncompactness

Mouffak Benchohra; Noreddine Rezoug; Yong Zhou

doi:10.4171/zaa/1623

JournalszaaVol. 38, No. 2pp. 143–156

Semilinear Mixed Type Integro-Differential Evolution Equations via Kuratowski Measure of Noncompactness

Mouffak Benchohra
Université Djillali Liabes de Sidi Bel-Abbès, Algeria
- MathSciNet
- zbMATH Open
Noreddine Rezoug
Université Djillali Liabes de Sidi Bel-Abbès, Algeria
- MathSciNet
- zbMATH Open
Yong Zhou
Xiangtan University, China, King Abdulaziz University, Jeddah, Saudi Arabia; Macau University of Science and Technology, China

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Abstract

This paper is concerned with the existence mild solutions of second order semilinear evolution equation in Banach space. The results are obtained by using the fixed point technique and Kuratowski measure of noncompactness. We give an example for illustration.

Cite this article

Mouffak Benchohra, Noreddine Rezoug, Yong Zhou, Semilinear Mixed Type Integro-Differential Evolution Equations via Kuratowski Measure of Noncompactness. Z. Anal. Anwend. 38 (2019), no. 2, pp. 143–156

DOI 10.4171/ZAA/1623