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On monotonic solutions of an integral equation of Abel type

Mohamed Abdalla Darwish (2008)

Mathematica Bohemica

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.

On monotonic solutions of some integral equations

J. Caballero, Donal O'Regan, K. B. Sadarangani (2005)

Archivum Mathematicum

The aim of this paper is to obtain monotonic solutions of an integral equation of Urysohn-Stieltjes type in C [ 0 , 1 ] . Existence will be established with the aid of the measure of noncompactness.

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