Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer
Date
2006-05-01
Authors
Caballero, Josefa
Mingarelli, Angelo B.
Sadarangani, Kishin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Measure of noncompactness, Banach algebra, Integral equation, Functional equation, Fixed point, Volterra, Chandrasekhar H-functions, Chandrasekhar integral equation, Radiative transfer
Citation
Caballero, J., Mingarelli, A. B., & Sadarangani, K. (2006). Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer. <i>Electronic Journal of Differential Equations, 2006</i>(57), pp. 1-11.
Rights
Attribution 4.0 International