[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2011.19.4.481

ASYMPTOTICALLY LINEAR BEAM EQUATION AND REDUCTION METHOD

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

Publication Information

Korean Journal of Mathematics / v.19, no.4, 2011 , pp. 481-493 More about this Journal

Abstract

We prove a theorem which shows the existence of at least three ${\pi}$ -periodic solutions of the wave equation with asymptotical linearity. We obtain this result by the finite dimensional reduction method which reduces the critical point results of the infinite dimensional space to those of the finite dimensional subspace. We also use the critical point theory and the variational method.

Keywords

asymptotically linear wave equation; Dirichlet boundary condition; critical point theory; finite dimensional reduction method; (P.S.) condition;

Citations & Related Records

Reference

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