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

How to Cite

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

Issue

Volume 29 (December 2013)

Section

Analysis and Algebra

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