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

Solvability of functional quadratic integral equations with perturbation


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.
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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