Josefa Caballero, Angelo B. Mingarelli, Kishin Sadarangani
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.
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Josefa Caballero Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain email: jmena@ull.es |
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Angelo B. Mingarelli School of Mathematics and Statistics Carleton University, Ottawa, Ontario, K1S 5B6, Canada email: amingare@math.carleton.ca |
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Kishin Sadarangani Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain email: ksadaran@dma.ulpgc.es |
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