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Periodic solutions for fourth‐order nonlinear functional difference equations
Author(s) -
Liu Xia,
Zhang Yuanbiao,
Shi Haiping,
Deng Xiaoqing
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3045
Subject(s) - mathematics , nonlinear system , multiplicity (mathematics) , order (exchange) , fixed point theorem , mathematical analysis , critical point (mathematics) , physics , finance , quantum mechanics , economics
By using the critical point method, some new criteria are obtained for the existence and multiplicity of periodic solutions for fourth‐order nonlinear functional difference equations. The proof is based on the linking theorem in combination with variational technique. Recent results in the literature are generalized and significantly improved. Copyright © 2013 John Wiley & Sons, Ltd.