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...

Cijeli opis

Bibliografski detalji

Glavni autori:	Krishnan Balachandran, Subbarayan Karunanithi
Format:	Artigo
Jezik:	Inglês
Izdano:	Texas State University 2003-11-01
Serija:	Electronic Journal of Differential Equations
Teme:	Classical solution semilinear integrodifferential equation resolvent operator fixed point theorem.
Online pristup:	http://ejde.math.txstate.edu/Volumes/2003/114/abstr.html
Oznake:	Dodaj oznaku Bez oznaka, Budi prvi tko označuje ovaj zapis!