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Multiple Solutions for a Quasilinear Second Order Differential Equation Depending on a Parameter |
SHAPOUR HEIDARKHANI1,2 |
1 Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran;
2 School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran |
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Abstract The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least three solutions for the quasilinear second order differential equation on a compact interval [a, b] ⊂R

under appropriate hypotheses. We exhibit the existence of at least three (weak) solutions and, and the results are illustrated by examples.
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Received: 19 December 2011
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Fund: This research was supported in part by grant from IPM (No. 89350020). |
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