[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2011.19.2.233

STUDY ON THE PERTURBED PIECEWISE LINEAR SUSPENSION BRIDGE EQUATION WITH VARIABLE COEFFICIENT

Jung, Tacksun (Department of Mathematics Kunsan National University)
Choi, Q-Heung (Department of Mathematics Education Inha University)

Publication Information

Korean Journal of Mathematics / v.19, no.2, 2011 , pp. 233-242 More about this Journal

Abstract

We get a theorem that there exist at least two solutions for the piecewise linear suspension bridge equation with variable coefficient jumping nonlinearity and Dirichlet boundary condition when the variable coefficient of the nonlinear term crosses first two successive negative eigenvalues. We obtain this multiplicity result by applying Leray-Schauder degree theory.

Keywords

Suspension bridge equation; Leray-Schauder degree theory;

Citations & Related Records

Reference

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