First order functional differential equations with periodic boundary conditions

• Published in: Applicable analysis Vol. 86; no. 2; pp. 205 - 221
• Main Authors: Dhage, B. C., Graef, John R.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.02.2007
• Subjects: 2000 Mathematics Subject Classifications: 34K10; Banach algebra; Existence theorems; Extremal solutions; Periodic boundary value problem

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...