Nonlocal Impulsive Cauchy Problems for Evolution Equations

Advances in Difference Equations

Jin Liang¹  Zhenbin Fan¹ 

[1] Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China

关键词: Banach Space;    Cauchy Problem;    Evolution Equation;    Fixed Point Theorem;    Mild Solution;   

DOI  :  10.1155/2011/784161

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed point theory, new existence theorems are obtained, which generalize and improve some previous results since neither the Lipschitz continuity nor compactness assumption on the impulsive functions is required. An application to partial differential equations is also presented.

【 授权许可】

CC BY