Existence of Solutions of Nonlinear Integrodifferential Equations of Sobolev Type with Nonlocal Condition in Banach Spaces

Proceedings Mathematical Sciences

K Uchiyama¹  K Balachandran² 

[1] Department of Mathematics, Sophia University, Tokyo 0-, Japan$$;Department of Mathematics, Bharathiar University, Coimbatore 0, India$$

关键词: Integrodifferential equation;    Sobolev type;    nonlocal condition;    uniformly continuous semigroup;    Schauder's fixed point theorem.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we prove the existence of mild and strong solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal condition. The results are obtained by using semigroup theory and the Schauder fixed point theorem.

【 授权许可】

Unknown