Opuscula Math. 33, no. 4 (2013), 725-739
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.
About the authors ▼
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
About the article ▼
Received: 2012-10-24.
Revised: 2012-02-06.
Accepted: 2013-04-04.
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.
Download this article's citation as: