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POSITIVE SOLUTIONS TO A FOUR-POINT BOUNDARY VALUE PROBLEM OF HIGHER-ORDER DIFFERENTIAL EQUATION WITH A P-LAPLACIAN  

Pang, Huihui (College of Science, China Agricultural University)
Lian, Hairong (School of Information Engineering, China University of Geosciences)
Ge, Weigao (Department of Mathematics, Beijing Institute of Technology)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 59-74 More about this Journal
Abstract
In this paper, we obtain the existence of positive solutions for a quasi-linear four-point boundary value problem of higher-order differential equation. By using the fixed point index theorem and imposing some conditions on f, the existence of positive solutions to a higher-order four-point boundary value problem with a p-Laplacian is obtained.
Keywords
Higher-order; positive solution; four-point boundary value problem; p-Laplacian;
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