Banach空间脉冲微分方程周期边值问题的正解

摘要

The existence of positive solutions for periodic boundary value problem of impulsive differential equations u'(t)+Mu(t)=f(t,u(t)),t∈J,t≠ tk △ut=tk=Ik(u(t)),k=1,2,...,m u(0)=u(W)in an ordered Banach space E was discussed by employing the fixed point index theory of condensing mapping.%运用凝聚映射的不动点指数理论讨论了有序Banach空间E中的脉冲微分方程周期边问题{ u'(t)+Mu(t)=f(t,u(t)), t∈J,t≠tk△u|t=Ik(u(tk)), k=1,2,…,mu(0)=u(ω)}正解的存在性.