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Keywords:
quadratic integral equation; monotonic solutions; Abel; measure of noncompactness; Darbo's fixed point theorem
quadratic integral equation; monotonic solutions; Abel; measure of noncompactness; Darbo's fixed point theorem
Summary:
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.
References:
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