Existence of time periodic solutions for a class of non-resonant discrete wave equations

Hdl Handle:
http://hdl.handle.net/10034/582661
Title:
Existence of time periodic solutions for a class of non-resonant discrete wave equations
Authors:
Zhang, Guang; Feng, Wenying; Yan, Yubin
Abstract:
In 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.
Affiliation:
University of Chester
Citation:
Zhang, 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-z
Publisher:
Springer
Journal:
Advances in Difference Equations
Publication Date:
17-Apr-2015
URI:
http://hdl.handle.net/10034/582661
DOI:
10.1186/s13662-015-0457-z
Additional Links:
http://www.advancesindifferenceequations.com/content/2015/1/120
Type:
Article
Language:
en
Description:
The final publication is available at Springer via http://dx.doi.org/10.1186/s13662-015-0457-z
ISSN:
1687-1847
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
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.en
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
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