| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630369 | Applied Mathematics and Computation | 2011 | 6 Pages |
Abstract
In this paper, we study the impulsive integro-differential equationsu′(t)=f(t,u(t),Tu,Su),t≠tk,t∈J=[0,1],Δu(tk)=Ik(u(tk)),k=1,2,…,m,u(0)=au(1)+bu(ξ).The existence of maximal and minimal solutions to the problem is proved by using an upper and lower solutions method together with monotone iterative technique. And two monotone sequences which uniformly converge to the relevant solutions are obtained. An example is included to show the applicability of our results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jitai Liang, Yiliang Liu, Zhenhai Liu,