First order functional differential equations with periodic boundary conditions
In this article, the authors prove an existence theorem for periodic boundary value problems for first order functional differential equations (FDE) in Banach algebras under mixed generalized Lipschitz and Carathéodory conditions. The existence of extremal positive solutions is also proved under cer...
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| Published in | Applicable analysis Vol. 86; no. 2; pp. 205 - 221 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.02.2007
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| Subjects | |
| Online Access | Get full text |
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| Abstract | In this article, the authors prove an existence theorem for periodic boundary value problems for first order functional differential equations (FDE) in Banach algebras under mixed generalized Lipschitz and Carathéodory conditions. The existence of extremal positive solutions is also proved under certain monotonicity conditions. An example illustrating the results is included. |
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| AbstractList | In this article, the authors prove an existence theorem for periodic boundary value problems for first order functional differential equations (FDE) in Banach algebras under mixed generalized Lipschitz and Caratheodory conditions. The existence of extremal positive solutions is also proved under certain monotonicity conditions. An example illustrating the results is included. In this article, the authors prove an existence theorem for periodic boundary value problems for first order functional differential equations (FDE) in Banach algebras under mixed generalized Lipschitz and Carathéodory conditions. The existence of extremal positive solutions is also proved under certain monotonicity conditions. An example illustrating the results is included. |
| Author | Dhage, B. C. Graef, John R. |
| Author_xml | – sequence: 1 givenname: B. C. surname: Dhage fullname: Dhage, B. C. – sequence: 2 givenname: John R. surname: Graef fullname: Graef, John R. email: john-graef@utc.edu organization: Department of Mathematics , University of Tennessee at Chattanooga |
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| Cites_doi | 10.1016/0362-546X(94)90019-1 10.1155/S1048953304308038 10.1016/S0362-546X(01)00889-6 10.1006/jmaa.1996.0231 |
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| EndPage | 221 |
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| References | Omari P (CIT0012) 1983; 2 Granas A (CIT0005) 1991; 70 Guo D (CIT0006) 1988 Heikkilä S (CIT0008) 1994 Dhage BC (CIT0003) Dhage BC (CIT0004); 1 Dhage BC (CIT0001) 2004 Liz E (CIT0010) 1996; 200 Nieto JJ (CIT0011) 2002; 51 Ladde GS (CIT0009) 1985 Dhage BC (CIT0002) 2006; 46 Haddock JR (CIT0007) 1994; 22 |
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| SubjectTerms | 2000 Mathematics Subject Classifications: 34K10 Banach algebra Existence theorems Extremal solutions Periodic boundary value problem |
| Title | First order functional differential equations with periodic boundary conditions |
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