Nonlocal Cauchy Problem for Integrodifferential Equations of Sobolev Type in Banach Space

Authors

  • Kamalendra Kumar
  • Rakesh Kumar

DOI:

https://doi.org/10.11113/matematika.v29.n.602

Abstract

In this paper, we prove the existence and uniqueness of mild and strong solutions of nonlinear integrodifferential equations of Sobolev type in Banach space. The results are obtained by using compact semigroups and the Schauder fixed point theorem. Keywords: Mild and Strong solutions; Nonlocal condition; Integrodifferential equations; Compact semigroup; Schauder fixed point theorem. 2010 Mathematics Subject Classification: 45N05; 47H10; 47B38; 34G20

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Published

01-12-2013

Issue

Volume 29 (December 2013)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Nonlocal Cauchy Problem for Integrodifferential Equations of Sobolev Type in Banach Space. (2013). MATEMATIKA, 29, 179-186. https://doi.org/10.11113/matematika.v29.n.602