求Duffing方程周期解的Mountain Pass方法

Numerical Mountain Pass Periodic Solutions of a Duffing Equation

LIU Shuyuan¹,², LV Xianrui¹, QI Yi²

1. College of Mathematics, Jilin University, Changchun 130012, China; 2. Jilin Commercial College, Changchun 130062, China

Received:2006-10-30 Revised:1900-01-01 Online:2007-07-26 Published:2007-07-26
Contact: LV Xianrui

Abstract

Abstract: The existence of periodic solutions and numerical solution method for superlinear Duffing equations were investigated. By means of Mountain Pass lemma, the existence of periodic solutions of superlinear Duffing equations was proved. Furthermore a Mountain Pass algorithm for solutions of the Duffing equations and a concrete example were given.

Key words: Mountain Pass theorem, critical points, P.S.conditions, Mountain Pass algorithm, superlinear Duffing equations

CLC Number:

O175.1

LIU Shuyuan,, LV Xianrui, QI Yi. Numerical Mountain Pass Periodic Solutions of a Duffing Equation[J].J4, 2007, 45(04): 519-523.

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Numerical Mountain Pass Periodic Solutions of a Duffing Equation

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