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...

Full description

Saved in:
Bibliographic Details
Published inApplicable analysis Vol. 86; no. 2; pp. 205 - 221
Main Authors Dhage, B. C., Graef, John R.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.02.2007
Subjects
2000 Mathematics Subject Classifications: 34K10
Banach algebra
Existence theorems
Extremal solutions
Periodic boundary value problem
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0003-6811
1563-504X
DOI:10.1080/00036810601124076