Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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