Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1987
- Accession Number
- ADA180946
Entities
People
- Yiming Long
Organizations
- University of Wisconsin–Madison