Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces
This paper deals with the existence and uniqueness of mild solutions for the initial value problems of abstract impulsive evolution equations in an ordered Banach space E:u′(t)+Au(t)=f(t,u(t),Gu(t)), t∈[0,a], t≠tk, Δu|t=tk=Ik(u(tk)), 0<t1<t2<⋯<tm<a, u(0)=u0, where A:D(A)⊂E→E is a clos...
| Published in: | Abstract and Applied Analysis |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Online Access: | http://dx.doi.org/10.1155/2010/481648 |