Existence and uniqueness of mild and classical solutions of impulsive evolution equations
We consider the non-linear impulsive evolution equation $$displaylines{ u'(t)=Au(t)+f(t,u(t),Tu(t),Su(t)), quad 0<t<T_0, ; t eq t_i,cr u(0) =u_0,cr Delta u(t_i) =I_i(u(t_i)),quad i=1,2,3,dots,p. }$$ in a Banach space $ X$, where $ A $ is the infinitesimal generator of a $C_0 $ semigroup....
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-10-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/111/abstr.html |