安徽大学学报（自然科学版）Issue(4)：5-9,5.DOI:10.3969/j.issn.1000-2162.2015.04.002
脉冲依赖状态的发展方程初值问题解的存在性
Existence of solution of initial value problem for evolution equation with state-dependent impulses
摘要
Abstract
T his paper discussed the existence to solutions of initial value problem for semilinear evolution equation with state‐dependent impulses u′(t)+ A u(t)= f (t ,u(t)) ,a .e . t∈ J= [0 ,a] ,t≠ τk (u(t)) ,k=1 ,2 ,… ,m;u(t+ )= Ik (u(t)) ,t= τk (u(t)) ,k= 1 ,2 ,… ,m;u(0)= u0 in space Rn ,where ‐A was the infinitesimal generator of an equicontinuous C0‐semigroup .In the case where f satisfied a weaker L1‐Caratheodory condition ,the Schaefer fixed‐point theorem was piecewise used to obtain the existence results of mild solution .关键词
发展方程/脉冲依赖状态/C0-半群/初值问题Key words
evolution equation/state-dependent impulses/C0-semigroup/initial value problem分类
数理科学引用本文复制引用
刘旭..脉冲依赖状态的发展方程初值问题解的存在性[J].安徽大学学报（自然科学版）,2015,(4):5-9,5.基金项目
国家自然科学基金资助项目（11261028）；甘肃省科技计划基金资助项目 （）
