A general class of periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces

Advances in Difference Equations

Said Melliani²  Lalla Saadia Chadli³  Abdelati El Allaoui⁴ 

[1] Calcul Scientifique, Sultan Moulay Slimane University, Beni Mellal, Morocco;Laboratoire de Mathées &matiques Appliqué

关键词: impulsive evolution equations;    periodic boundary value problems;    control;    mild solution;    34G10;    34B37;    93C15;   

DOI  :  10.1186/s13662-016-1004-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with the periodic boundary value problems for nonlinear impulsive evolution equations with controls. By using the theory of semigroup and fixed point methods, we address some conditions ensuring the existence and uniqueness. Finally, two examples are provided to prove the effectiveness of the proposed results.

【 授权许可】

CC BY