Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1187-1195.

• Articles • Previous Articles     Next Articles

Single and Multiple Positive Solutions to Second-order Discrete Periodic Boundary Value Problems

  

  1. 1.School of Mathematics and Statistics, Northeast Normal University, |Changchun 130024|2.Department of Mathematics, Baicheng Normal College, Jilin Baicheng 137000
  • Received:2007-07-18 Revised:2008-11-17 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(10571021, 10671031, 10701020)、教育部重点项目(106062)、东北师范大学青年自然科学基金(20050102)和教育部应用统计重点实验室(KLAS)资助

Abstract:

This paper gives a existence theory for single and multiple positive solutions to a kind of second-order discrete periodic boundary value problems by employing a fixed point theorem in cones. This paper obtains some new results about nonlinear difference equations on a finite discrete segment with periodic boundary conditions.

Key words: Periodic boundary value problem, Discrete segment, Existence, Positive solution,  Fixed point theorem in cone

CLC Number: 

  • 34B15
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