Nonlinear impulsive evolution equations with nonlocal conditions and optimal controls

Advances in Difference Equations

Lanping Zhu¹ 

[1] School of Mathematics, Yangzhou University, Yangzhou, China

关键词: nonlinear impulsive equations;    nonlocal conditions;    feasible pairs;    optimal controls;    34G20;    34K35;    47D06;    93C25;   

DOI  :  10.1186/s13662-015-0715-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with controlled nonlinear impulsive evolution equations with nonlocal conditions. The existence of PC-mild solutions is proved, but the uniqueness cannot be obtained. By constructing approximating minimizing sequences of functions, the existence of optimal controls of systems governed by nonlinear impulsive evolution equations is also presented.

【 授权许可】

CC BY