Existence and uniqueness of solutions for a periodic boundary value problem

Document Type: Research Paper

Author

University of Shahrekord, Iran

Abstract

In this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution.

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History

• Receive Date: 01 May 2011
• Revise Date: 20 June 2011
• Accept Date: 20 June 2011