Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces
In this article, we prove the existence of mild and classical solutions of Sobolev type semilinear integrodifferential equations of the form $$ frac{d}{dt}[Ex(t)] = A[x(t)+int_0^tF(t-s)x(s)ds]+f(t,x(t)) $$ in Banach spaces. The results are obtained by using the Banach contraction mapping principle a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/114/abstr.html |