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Open Access Research Article

Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities

Yulian An

Author Affiliations

Department of Mathematics, Shanghai Institute of Technology, Shanghai 200235, China

Boundary Value Problems 2011, 2011:715836  doi:10.1155/2011/715836

Published: 28 September 2010

Abstract

We consider the nonlinear eigenvalue problems , , , , where , and for with and satisfies for , and , where . We investigate the global structure of nodal solutions by using the Rabinowitz's global bifurcation theorem.