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Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
Su Xingxing * #,Liu Wenbin,Chen Hailiang,Shi Xundong,Yang Cheng
Department of science , China University of Mining & Technology
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金（No.10771212）
Opened online:28 October 2009
Accepted by: none
Citation: Su Xingxing,Liu Wenbin,Chen Hailiang.Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems[OL]. [28 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36195
 
 
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value problems whose nonlinear term contains first and second derivative, and obtain existence of n positive solutions, where n is an arbitrary number. In addition, by applying control functions and equations technique on it, we get some new results about the positive solutions.
Keywords:nonlinear fourth-order boundary value problems;positive solution;existence;multiplicity;fixed point theorem on cone;Leray-Schauder continuous principle
 
 
 

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