Accession Number : ADA136348

Title :   Applications of Natural Constraints in Critical Point Theory to Periodic Solutions of Natural Hamiltonian Systems.

Descriptive Note : Technical summary,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : VAN Groesen,E W

PDF Url : ADA136348

Report Date : Nov 1983

Pagination or Media Count : 34

Abstract : This paper deals with periodic solutions of Hamiltonian systems of the form -x = V'(x) with V a given function. Assuming V to be either a convex or an even function, and prescribing the period, existence results are obtained for the number of solutions in relation to the minimal period of these solutions, assuming superquadratic growth at infinity only, or subquadratic growth at infinity together with specific behaviour at the origin for V. By introducing natural constraints, these results are obtained by applying variational methods directly to the action functional. (Author)

Descriptors :   *Mathematical models, *Equations, *Hamiltonian functions, Dynamics, Periodic functions, Variational methods, Set theory

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE