SOLVABILITY AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME NONLINEAR INTEGRAL EQUATIONS RELATED TO CHANDRASEKHAR’S INTEGRAL EQUATION ON THE REAL HALF LINE

Abstract

We investigate the existence and uniform attractivity of solutions of a class of functional integral equations which contain a number of classical nonlinear integral equations as special cases. Using the technique of measures of noncompactness and a fixed point theorem of Darbo type we prove the existence of solutions of these equations in the Banach space of continuous and bounded functions on the nonnegative real half axis. Our results extend and improve some known results in the recent literature. An example illustrating the main result is presented in the last section.