On solutions of semilinear evolution integrodifferential equations with nonlocal conditions

Main Article Content

Zuomao Yan

Abstract

In this paper, by using the theory of evolution families, Banach's contraction principle and Schauder's fixed point theorem, we prove the existence of mild solutions of a class of semilinear evolution integrodifferential equations with nonlocal conditions in Banach space. An example is provided to illustrate the obtained results.

Article Details

How to Cite
Yan, Z. (2009). On solutions of semilinear evolution integrodifferential equations with nonlocal conditions. Tamkang Journal of Mathematics, 40(3), 257–269. https://doi.org/10.5556/j.tkjm.40.2009.505
Section
Papers
Author Biography

Zuomao Yan

Department of Mathematics, Hexi University, Zhangye, Gansu 734000, P.R.CHINA