Mohamed Abdalla Darwish, Department of Mathematics, Faculty of Science, Alexandria University at Damanhour, 22511 Damanhour, Egypt, e-mail: darwishma@yahoo.com
Abstract: We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in $C[0,1]$. The famous Chandrasekhar's integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
Keywords: quadratic integral equation, monotonic solutions, Abel, measure of noncompactness, Darbo's fixed point theorem
Classification (MSC 2000): 45G10, 45M99, 47H09
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