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http://hdl.handle.net/10553/46742
| Título: | Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel | Autores/as: | Darwish, Mohamed Abdalla Sadarangani, Kishin |
Clasificación UNESCO: | 12 Matemáticas | Palabras clave: | Abel Darbo's fixed point theorem Measure of noncompactness Monotone solutions Quadratic integral equation |
Fecha de publicación: | 2013 | Publicación seriada: | Applied Mathematics and Computation | Resumen: | We prove an existence theorem for a quadratic Abel integral equation of the second kind with supremum in the kernel. The quadratic integral equation studied below contains as a special case numerous integral equations encountered in the theory of radiative transfer and in the kinetic theory of gases. We show that the singular quadratic integral equations with supremum has a monotonic solution in C[0, 1]. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof | URI: | http://hdl.handle.net/10553/46742 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2013.01.066 | Fuente: | Applied Mathematics and Computation [ISSN 0096-3003], v. 219 (14), p. 7830-7836 |
| Colección: | Artículos |
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