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