Geodesic
Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 45M99, 47H09
Keywords: measure of noncompactness, Banach algebra, integral equation, functional equation, fixed point, Volterra, Chandrasekhar H-functions, Chandrasekhar integral equation, radiative transfer 
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     author = {Caballero, Josefa and Mingarelli, Angelo B. and Sadarangani, Kishin},
     title = {Existence of solutions of an integral equation of {Chandrasekhar} type in the theory of radiative transfer},
     journal = {Electronic Journal of Differential Equations},
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     year = {2006},
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Caballero, Josefa; Mingarelli, Angelo B.; Sadarangani, Kishin. Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a32/