Opuscula Math. 33, no. 4 (2013), 725-739
http://dx.doi.org/10.7494/OpMath.2013.33.4.725

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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