Existence of Positive Solutions to Periodic Boundary Value Problems for
Nonlinear Ordinary Differential Systems with Sign-changing Green Function

Wanjun Li; Yukun An

doi:10.4172/2168-9679.1000117

Existence of Positive Solutions to Periodic Boundary Value Problems for Nonlinear Ordinary Differential Systems with Sign-changing Green Function

Abstract

Wanjun Li and Yukun An

This paper deals with the periodic boundary value problems where is a constant and in which case the associated Greens function may changes sign. The existence result of positive solutions is established by using the fixed point index theory of cone mapping.

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