Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1495-1502.

• Articles • Previous Articles     Next Articles

Positive Solutions of Nonlinear Third-order Periodic Boundary Value Problems

 YAO Qiang-Liu   

  1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Jiangsu Nanjing 210003
  • Received:2008-12-17 Revised:2009-10-29 Online:2010-12-25 Published:2010-12-25

Abstract:

The positive solutions for a nonlinear third-order periodic boundary value problem are considered. By making use of a suitable transformation the problem is transfered into an integral equation. By applying the Guo-Lakshmikantham fixed point index theorem on cone, the existence of single or multiple positive solutions is established.

Key words: Periodic boundary value problem, Positive solution, Existence, Multiplicity

CLC Number: 

  • 34B16
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