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Periodic Solutions of a 2nthOrder Functional Difference Equation Containing Both Advance and Retardation(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2014年02期
Page:
39-
Research Field:
数学
Publishing date:

Info

Title:
Periodic Solutions of a 2nthOrder Functional Difference Equation Containing Both Advance and Retardation
Author(s):
Peng Gang1; Cui Yan1; Shi Haiping2
(1.School of Humanities and Social Sciences,Guangdong Lingnan Institute of Technology,Guangzhou 510663,China) (2.Modern Business and Management Department,Guangdong Construction Vocational Technology Institute,Guangzhou 510450,China)
Keywords:
functional difference equation; periodic solution; linking theorem; discrete variational theory
PACS:
O175.1
DOI:
-
Abstract:
The existence of periodic solutions to a 2nthorder functional difference equation containing both advance and retardation is studied.By using the critical point theory and transferring the existence of the periodic solutions of the equations into the existence of critical points of some functional,a sufficient condition for the existence of at least two nontrivial periodic solutions is obtained.Our result extends and improves some conclusions in the existing literatures.

References:

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Last Update: 2014-06-30