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Open Access Research Article

Global Behavior of the Components for the Second Order -Point Boundary Value Problems

Yulian An12 and Ruyun Ma1*

Author Affiliations

1 Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

2 Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

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Boundary Value Problems 2008, 2008:254593  doi:10.1155/2008/254593

Published: 24 December 2007

Abstract

We consider the nonlinear eigenvalue problems , , , , where , , and for , with ; ; . There exist two constants such that and , . Using the global bifurcation techniques, we study the global behavior of the components of nodal solutions of the above problems.