J4 ›› 2012, Vol. 25 ›› Issue (5): 6-10.doi: 10.3976/j.issn.1002-4026.2012.05.002

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Existence of positive solutions of a type of beam equation boundary value problems

 WUXiang-Yun   

  1. Department of Mathematics and Physics, Lijiang Normal College, Lijiang 674100, China
  • Received:2012-05-14 Online:2012-10-20 Published:2012-10-20

Abstract:

This paper addresses the existence of positive solutions for a type of fourth-order beam equation boundary value problems based on function-typed fixed point theorem of cone expansion and compression. The unique characteristic is that its nonlinear term depends on all lower-order derivatives.

Key words: fourth-order boundary value problem, fixed point theorem, positive solution

CLC Number: 

  • O175.08