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
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.
- 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.
