On the existence of integrable solutions for a nonlinear quadratic integral equation
In this paper, we investigate the existence of integrable solution to a nonlinear integral equation, which includes many important integral and functional equations that arise in nonlinear analysis and its applications. Our results are obtained under rather general assumptions. In particular, the solvability of the well known Chandrasekhar equation is discussed under appropriate assumptions. Our analysis uses the technique of measures of weak noncompactness and rely on a variant of Schauders fixed point theorem.
integrable solution nonlinear integral equation measure of weak noncompactness fixed point theorem 45d05 45g10 47h30