Existence and uniqueness of strong solutions for nonlocal evolution equations

The aim of this article is to study the existence and uniqueness of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The discussions are based on analytic semigroup theory and fixed point theorems. An example illustrates the main results.

Bibliographic Details
Main Authors: Pengyu Chen, Yongxiang Li
Format: Article
Language:English
Published: Texas State University 2014-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/18/abstr.html