Variational principle for eigenvalue problems of Hamiltonian systems

被引：15

作者：

Benguria, RD

Depassier, MC

机构：

[1] Facultad de Física, P. Universidad Católica de Chile, Santiago 22

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 14期

关键词：

D O I：

10.1103/PhysRevLett.77.2847

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the bifurcation problem u '' + lambda u = N(u) with two point boundary conditions where N(LI) is a general nonlinear term which may also depend on the eigenvalue lambda. We give a variational characterization of the bifurcating branch lambda as a function of th amplitude of the solution. As an application we show how it can be used to obtain simple approximate closed formulas for the period of large amplitude oscillations.

引用

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页码：2847 / 2850

页数：4

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