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...

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Bibliografische Detailangaben

Hauptverfasser:	Krishnan Balachandran, Subbarayan Karunanithi
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	Texas State University 2003-11-01
Schriftenreihe:	Electronic Journal of Differential Equations
Schlagworte:	Classical solution semilinear integrodifferential equation resolvent operator fixed point theorem.
Online-Zugang:	http://ejde.math.txstate.edu/Volumes/2003/114/abstr.html
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