Existence Results on General Integrodifferential Evolution Equations in Banach Space

• 作者: K. Sathiyanathan T. Nandha Gopal
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: EXISTENCE Nonlinear Integrodifferential Evolution EQUATION RESOLVENT OPERATOR Schaefer’s Fixed Point THEOREM
• 年，卷（期）: 2013,（1）
• 页码范围: 149-154
• 页数: 6页
• 分类号: O1

摘要

In this paper we prove the existence of mild solutions of a general class of nonlinear evolution integrodifferential equation in Banach spaces. Based on the resolvent operator and the Schaefer fixed point theorem, a sufficient condition for the existence of general integrodifferential evolution equations is established.