THE SOLVABILITY OF SOME NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS

OZDEMIR I., ÇAKAN Ü.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.53, no.1, pp.7-21, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1556/012.2015.1322
  • Journal Name: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.7-21
  • Keywords: Nonlinear integral equations, measure of noncompactness, Darbo fixed point theorem, EXISTENCE
  • Inonu University Affiliated: Yes

Abstract

In this paper, using a Darbo type fixed point theorem associated with the measure of noncompactness we prove a theorem on the existence of solutions of some nonlinear functional integral equations in the space of continuous functions on interval [0, a]. We give also some examples which show that the obtained results are applicable.