Accession Number : ADA137948

Title :   Normal Modes of a Lagrangian System Constrained in a Potential Well.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Benci,V

PDF Url : ADA137948

Report Date : Dec 1983

Pagination or Media Count : 32

Abstract : The question of existence and the number of periodic solutions (normal modes) for a classical mechanical system is a problem as old as the field of analytical mechanics itself. The development of the nonlinear functional analysis has renewed interest in these problems. This paper considers a mechanical system which is constrained in a potential well.

Descriptors :   *Lagrangian functions, Solutions(General), Minimax technique, Functional analysis, Nonlinear analysis, Hilbert space, Banach space, Inequalities, Differential equations, Mechanics, Dynamics

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE