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HOMOCLINIC ORBITS FOR A CLASS OF DISCRETE PERIODIC HAMILTONIAN SYSTEMS.

Authors :
QINQIN ZHANG
Source :
Proceedings of the American Mathematical Society. Jul2015, Vol. 143 Issue 7, p3155-3163. 9p.
Publication Year :
2015

Abstract

In this paper we establish new criteria for the existence of nontrivial homoclinic orbits to a class of discrete Hamiltonian systems. Our results do not need to suppose that the system satisfies the well-known global Ambrosetti-Rabinowitz superquadratic assumption. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DISCRETE systems
*HAMILTONIAN systems
*ORBIT method
*BANACH spaces
*MATRICES (Mathematics)
*DYNAMICAL systems

Details

Language :
English
ISSN :
00029939
Volume :
143
Issue :
7
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
102164914
Full Text :
https://doi.org/10.1090/S0002-9939-2015-12107-7
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