Accession Number : ADA180946

Title :   Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Long,Yiming

Report Date : JAN 1987

Pagination or Media Count : 50

Abstract : In this paper, the author proves the existence of infinitely many distinct T-periodic solutions of the perturbed second order Hamiltonian systems q + V'(q) = f(t) under the condition that V is C and superquadratic via minimax methods. We also obtain similar results for general nonautonomous second order Hamiltonian systems and perturbed Lagrangian systems. Keywords: invariance; Asymmetry; A priori growth estimates; multiple periodic solutions.

Descriptors :   *HAMILTONIAN FUNCTIONS, *PERTURBATIONS, ASYMMETRY, ESTIMATES, GROWTH(GENERAL), INVARIANCE, LAGRANGIAN FUNCTIONS, PERIODIC FUNCTIONS, SOLUTIONS(GENERAL), MINIMAX TECHNIQUE

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE