96-187 Benguria, R. and Depassier, M. C.
A Variational Principle for Eigenvalue Problems of Hamiltonian Systems (106K, postcript file, gzipped and uuencoded) May 10, 96
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We consider the bifurcation problem $u'' + \lambda u = N(u)$ with two point boundary conditions where $N(u)$ 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 the amplitude of the solution. As an application we show how it can be used to obtain simple approximate closed formulae for the period of large amplitude oscillations.

Files: 96-187.uu