TITLE:
Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra
AUTHORS:
Hind H. G. Hashem, Aml A. Alhejelan
KEYWORDS:
Nonlinear Operators, Banach Algebra, Chandrasekhar’s Integral Equations
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.6,
June
28,
2017
ABSTRACT: In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and functional equations that are considered in nonlinear analysis. Our considerations will be discussed in Banach algebra using a fixed point theorem instead of using the technique of measure of noncompactness. An important special case of that functional equation is Chandrasekhar’s integral equation which appears in radiative transfer, neutron transport and the kinetic theory of gases [1].