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dc.contributor.authorZhang, Guangen
dc.contributor.authorFeng, Wenyingen
dc.contributor.authorYan, Yubinen
dc.date.accessioned2015-11-25T10:23:44Zen
dc.date.available2015-11-25T10:23:44Zen
dc.date.issued2015-04-17en
dc.identifier.citationZhang, G., Feng, W., & Yan, Y. (2015). Existence of time periodic solutions for a class of non-resonant discrete wave equations. Advances in Difference Equations, 2015, 1. doi:10.1186/s13662-015-0457-zen
dc.identifier.issn1687-1847en
dc.identifier.doi10.1186/s13662-015-0457-zen
dc.identifier.urihttp://hdl.handle.net/10034/582661en
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1186/s13662-015-0457-zen
dc.description.abstractIn this paper, a class of discrete wave equations with Dirichlet boundary conditions are obtained by using the center-difference method. For any positive integers m and T, when the existence of time mT-periodic solutions is considered, a strongly indefinite discrete system needs to be established. By using a variant generalized weak linking theorem, a non-resonant superlinear (or superquadratic) result is obtained and the Ambrosetti-Rabinowitz condition is improved. Such a method cannot be used for the corresponding continuous wave equations or the continuous Hamiltonian systems; however, it is valid for some general discrete Hamiltonian systems.
dc.language.isoenen
dc.publisherSpringeren
dc.relation.urlhttp://www.advancesindifferenceequations.com/content/2015/1/120en
dc.rightsArchived with thanks to Advances in Difference Equationsen
dc.subjectWave equationen
dc.subjectHamiltonian systemen
dc.subjectAmbrosetti-Rabinowitz conditionen
dc.subjectstrongly indefinite discrete systemen
dc.subjecttime mT-periodic solutionen
dc.subjectvariant generalized weak linking theoremen
dc.titleExistence of time periodic solutions for a class of non-resonant discrete wave equationsen
dc.typeArticleen
dc.contributor.departmentUniversity of Chesteren
dc.identifier.journalAdvances in Difference Equationsen
refterms.dateFOA2018-08-14T03:58:26Z
html.description.abstractIn this paper, a class of discrete wave equations with Dirichlet boundary conditions are obtained by using the center-difference method. For any positive integers m and T, when the existence of time mT-periodic solutions is considered, a strongly indefinite discrete system needs to be established. By using a variant generalized weak linking theorem, a non-resonant superlinear (or superquadratic) result is obtained and the Ambrosetti-Rabinowitz condition is improved. Such a method cannot be used for the corresponding continuous wave equations or the continuous Hamiltonian systems; however, it is valid for some general discrete Hamiltonian systems.


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