Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 57, pp. 1-11.
Title: Existence of solutions of an integral equation
of Chandrasekhar type in the theory of radiative transfer
Authors: Josefa Caballero (Univ. de Las Palmas de Gran Canaria, Spain)
Angelo B. Mingarelli (Carleton Univ., Ottawa, Canada)
Kishin Sadarangani (Univ. de Las Palmas de Gran Canaria, Spain)
Abstract:
We give an existence theorem for some functional-integral
equations which includes many key integral and functional
equations that arise in nonlinear analysis and its applications.
In particular, we extend the class of characteristic functions
appearing in Chandrasekhar's classical integral equation from
astrophysics and retain existence of its solutions. Extensive
use is made of measures of noncompactness and abstract fixed
point theorems such as Darbo's theorem.
Submitted March 3, 2006. Published May 1, 2006.
Math Subject Classifications: 45M99, 47H09.
Key Words: Measure of noncompactness; Banach algebra;
integral equation; functional equation; fixed point;
Volterra; Chandrasekhar H-functions;
Chandrasekhar integral equation; radiative transfer.