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):

Report Date:

1987-01-01

Pagination or Media Count:

50.0

Abstract:

In this paper, the author proves the existence of infinitely many distinct T-periodic solutions of the perturbed second order Hamiltonian systems q Vq ft 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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE