Positive Solutions for Singular Fourth-Order Integral Boundary-Value Problem with $p$-Laplacian Operator
Received:May 10, 2008  Revised:October 16, 2008
Key Words: p-Laplacian operator   singular boundary value problems   integral boundary condition   positive solution.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10971179) and the Natural Science Foundation of Liaocheng University (Grant No.31805).
Author NameAffiliation
Xing Qiu ZHANG School of Mathematics, Liaocheng University, Shandong 252059, P. R. China 
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Abstract:
      In this paper, we investigate the existence of positive solutions for singular fourth-order integral boundary-value problem with $p$-Laplacian operator by using the upper and lower solution method and fixed point theorem. Nonlinear term may be singular at $t=0$ and/or $t=1$ and $x=0$.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.03.014
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