Existence results of Brezis-Browder type for systems of Fredholm integral equations
| Autor: | Ravi P. Agarwal, Patricia Jy Wong, Donal O'Regan |
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| Jazyk: | angličtina |
| Předmět: |
Pure mathematics
Mathematics::Functional Analysis brezis-browder arguments positive solutions Partial differential equation Algebra and Number Theory differential-equations Differential equation Mathematics::Operator Algebras Applied Mathematics fixed-point theorem Fixed-point theorem system of fredholm integral equations volterra Type (model theory) Mathematics::Spectral Theory Integral equation Algebra constant-sign solutions Mathematics Subject Classification Mathematics::K-Theory and Homology Ordinary differential equation Special case Analysis Mathematics |
| Zdroj: | Advances in Difference Equations. 2011(1):43 |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/1687-1847-2011-43 |
| Popis: | In this article, we consider the following systems of Fredholm integral equations: Using an argument originating from Brezis and Browder [Bull. Am. Math. Soc. 81, 73-78 (1975)] and a fixed point theorem, we establish the existence of solutions of the first system in (C[0, T]) n , whereas for the second system, the existence criteria are developed separately in (C l [0,∞)) n as well as in (BC[0,∞)) n . For both systems, we further seek the existence of constant-sign solutions, which include positive solutions (the usual consideration) as a special case. Several examples are also included to illustrate the results obtained. 2010 Mathematics Subject Classification: 45B05; 45G15; 45M20. |
| Databáze: | OpenAIRE |
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