Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (2): 287-298.

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Positive Solutions for Nonlocal Boundary Value Problems of Fourth Order Differential Equation with Parameters

Hao Xinan, Liu Lishan   

  1. School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165
  • Received:2016-06-26 Revised:2016-12-21 Online:2017-04-26 Published:2017-04-26
  • Supported by:
    Supported by the NSFC (11501318, 11371221), the Natural Science Foundation of Shandong Province (ZR2015AM022) and the International Cooperation Program of Key Professors by Qufu Normal University

Abstract: This paper deals with the existence of positive solutions to fourth order nonlocal boundary value problems with two parameters. The proofs are based on a specially constructed cone and a fixed point theorem in a cone for a completely continuous operator, due to Krasnosel'skii and Zabreiko. The results extend and improve some known results.

Key words: Positive solution, Integral boundary conditions, Fixed point, Cone

CLC Number: 

  • O175.08
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