Controllability and periodic solutions of nonlinear wave equations

The controllability of time-periodic solutions of a n-dimensional nonlinear wave equation is established with n=2,3. The result is used to establish the existence of time-periodic solutions of a nonlinear wave equation.

Bibliographic Details
Main Author: Bui An Ton
Format: Article
Language:English
Published: Texas State University 2017-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/112/abstr.html
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author Bui An Ton
author_facet Bui An Ton
author_sort Bui An Ton
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description The controllability of time-periodic solutions of a n-dimensional nonlinear wave equation is established with n=2,3. The result is used to establish the existence of time-periodic solutions of a nonlinear wave equation.
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spelling doaj.art-f376b4cc23f842a6a94e34b6b6e97c5e2022-12-22T00:10:17ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-04-012017112,112Controllability and periodic solutions of nonlinear wave equationsBui An Ton0 Univ. of British Columbia, Bancouver, Canada The controllability of time-periodic solutions of a n-dimensional nonlinear wave equation is established with n=2,3. The result is used to establish the existence of time-periodic solutions of a nonlinear wave equation.http://ejde.math.txstate.edu/Volumes/2017/112/abstr.htmlExact controllabilitytime-periodic solutioncontrol3D nonlinear wave equation
spellingShingle Bui An Ton
Controllability and periodic solutions of nonlinear wave equations
Electronic Journal of Differential Equations
Exact controllability
time-periodic solution
control
3D nonlinear wave equation
title Controllability and periodic solutions of nonlinear wave equations
title_full Controllability and periodic solutions of nonlinear wave equations
title_fullStr Controllability and periodic solutions of nonlinear wave equations
title_full_unstemmed Controllability and periodic solutions of nonlinear wave equations
title_short Controllability and periodic solutions of nonlinear wave equations
title_sort controllability and periodic solutions of nonlinear wave equations
topic Exact controllability
time-periodic solution
control
3D nonlinear wave equation
url http://ejde.math.txstate.edu/Volumes/2017/112/abstr.html
work_keys_str_mv AT buianton controllabilityandperiodicsolutionsofnonlinearwaveequations