Accession Number : ADA193478

Title :   A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Bahri, Abbas ; Rabinowitz, Paul H

PDF Url : ADA193478

Report Date : Oct 1987

Pagination or Media Count : 23

Abstract : This paper presents a minimax method which gives existence and multiplicity results for time periodic solutions of a class of Hamiltonian systems when a singular potential is present. The singularity satisfies the strong force condition of Gordon. When milder singularities are permitted a notion of generalized T-periodic solution is introduced and we get existence and multiplicity results for such solutions. Keywords: Minimax method; Calculus of variations; Hamiltonian systems; Singular potential; Strong force condition; Collision orbits; Weak force condition; Generalized T-periodic solution.

Descriptors :   *MINIMAX TECHNIQUE, CALCULUS OF VARIATIONS, COLLISIONS, HAMILTONIAN FUNCTIONS, ORBITS, PERIODIC FUNCTIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE