Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 576-587.

• Articles • Previous Articles     Next Articles

Positive Solutions of |Second-Order Singular Periodic Differential Systems

 YAO Qiang-Liu   

  1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003
  • Received:2010-09-18 Revised:2011-10-08 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    国家自然科学基金(11071109)资助

Abstract:

The positive solutions are considered for a nonlinear second-order periodic differential system in which the nonlinear terms may be singular with respect to both time and space variables. By constructing suitable control functions and applying Guo-Krasnoselskii fixed point theorem on cone, the existence of single and multiple positive solutions is established.

Key words: Singular differential system, Periodic positive solution, Fixed point theorem

CLC Number: 

  • 34B16
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