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Open Access Research

Nodal solutions of second-order two-point boundary value problems

Ruyun Ma, Bianxia Yang and Guowei Dai*

Author affiliations

Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China

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Citation and License

Boundary Value Problems 2012, 2012:13  doi:10.1186/1687-2770-2012-13

Published: 10 February 2012

Abstract

We shall study the existence and multiplicity of nodal solutions of the nonlinear second-order two-point boundary value problems,

<a onClick="popup('http://www.boundaryvalueproblems.com/content/2012/1/13/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2012/1/13/mathml/M1">View MathML</a>

The proof of our main results is based upon bifurcation techniques.

Mathematics Subject Classifications: 34B07; 34C10; 34C23.

Keywords:
nodal solutions; bifurcation