Semilinear Mixed Type Integro-Differential Evolution Equations via Kuratowski Measure of Noncompactness
Mouffak Benchohra
Université Djillali Liabes de Sidi Bel-Abbès, AlgeriaNoreddine Rezoug
Université Djillali Liabes de Sidi Bel-Abbès, AlgeriaYong Zhou
Xiangtan University, China, King Abdulaziz University, Jeddah, Saudi Arabia; Macau University of Science and Technology, China
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