Integral inequalities and mild solutions of semilinear neutral evolution equations

[摘要] Existence of mild solutions to semilinear neutral evolution equations with nonlocal conditions is proved. The result is obtained by using fractional power of operators, Krasnoselski-Schaefer type fixed point theorem and by applying a modification of the Bihari type inequality to the case of singular integral inequality. An application to partial differential equations is given. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-12-01

[关键词] nonlocal Cauchy problem;semilinear neutral evolution equation;Krasnoselski-Schaefer fixed point theorem;integral inequalities