Continuous selections of set of mild solutions of evolution inclusions
We prove the existence of continuous selections of the set valued map $xio mathcal{S}(xi)$ where $mathcal{S}(xi)$ is the set of all mild solutions of the evolution inclusions of the form $$displaylines{ dot{x}(t) in A(t)x(t)+int_0^tK(t,s)F(s,x(s))ds cr x(0)=xi ,quad tin I=[0,T], }$$ where $F$ is a l...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/21/abstr.html |