National Changhua University of Education Institutional Repository : Item 987654321/17735

English | 正體中文 | 简体中文 | Items with full text/Total items : 6507/11669
Visitors : 29929174 Online Users : 462

RC Version 3.2 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Scope Adv. Search

Login ‧ Upload ‧ Help ‧ About ‧ Administer

NCUEIR > College of Science > math > Periodical Articles > Item 987654321/17735

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17735

Title:	Periodic Solutions of an Infinite Dimensional Hamiltonian System
Authors:	Ding, Yan-Heng;Lee, Cheng
Contributors:	數學系
Keywords:	Infinite-dimensional Hamiltonian system;Periodic solutions;Variational method
Date:	2005-09
Issue Date:	2013-12-30T06:51:49Z
Publisher:	Rocky Mountain Mathematics Consortium
Abstract:	We establish existence and multiplicity of periodic solutions to the infinite dimensional Hamiltonian system { ∂ tu - Δ xu = H v(t,x,u,v)-∂ tv- Δ xv = H u(t,x,u,v) for (t,x) ∈ R × Ω, where Ω⊂R N is a bounded domain or Ω = R N. When Ω is bounded, we treat the situations where H(t, x, z) is, with respect to z = (u, v), sub- or superquadratic, or concave and convex, and discuss also the convergence to homoclinics of sequences of subharmonic orbits. If Ω = R N, we handle the case of superquadratic nonlinearities.
Relation:	Rocky Mountain Journal of Mathematics, 35(6): 1881-1908
Appears in Collections:	[math] Periodical Articles

Files in This Item:

File	Size	Format
index.html	0Kb	HTML	496	View/Open