Opuscula Math. 33, no. 4 (2013), 725-739

Opuscula Mathematica

Solvability of functional quadratic integral equations with perturbation

Mohamed M. A. Metwali

Abstract. We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak noncompactness.

Keywords: quadratic integral equation, measure of noncompactness, Krasnoselskii fixed point theorem, superposition operators.

Mathematics Subject Classification: 45G10, 47H30, 47N20.

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  • Mohamed M. A. Metwali
  • Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland
  • Department of Mathematics, Faculty of Sciences, Damanhour University, Egypt
  • Received: 2012-10-24.
  • Revised: 2012-02-06.
  • Accepted: 2013-04-04.
Opuscula Mathematica - cover

Cite this article as:
Mohamed M. A. Metwali, Solvability of functional quadratic integral equations with perturbation, Opuscula Math. 33, no. 4 (2013), 725-739, http://dx.doi.org/10.7494/OpMath.2013.33.4.725

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