Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer

Autor: Josefa Caballero, Angelo B. Mingarelli, Kishin Sadarangani
Jazyk: angličtina
Rok vydání: 2006
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2006, Iss 57, Pp 1-11 (2006)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
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