Quasiperiodic Solutions of Completely Resonant Wave Equations with Quasiperiodic Forced Terms
Joint Authors
Zhang, Weipeng
Gao, Yixian
Chang, Jing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-18
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper is concerned with the existence of quasiperiodic solutions with two frequencies of completely resonant, quasiperiodically forced nonlinear wave equations subject to periodic spatial boundary conditions.
The solutions turn out to be, at the first order, the superposition of traveling waves, traveling in the opposite or the same directions.
The proofs are based on the variational Lyapunov-Schmidt reduction and the linking theorem, while the bifurcation equations are solved by variational methods.
American Psychological Association (APA)
Gao, Yixian& Zhang, Weipeng& Chang, Jing. 2014. Quasiperiodic Solutions of Completely Resonant Wave Equations with Quasiperiodic Forced Terms. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033912
Modern Language Association (MLA)
Gao, Yixian…[et al.]. Quasiperiodic Solutions of Completely Resonant Wave Equations with Quasiperiodic Forced Terms. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1033912
American Medical Association (AMA)
Gao, Yixian& Zhang, Weipeng& Chang, Jing. Quasiperiodic Solutions of Completely Resonant Wave Equations with Quasiperiodic Forced Terms. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033912
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033912