Subharmonic solutions with prescribed minimal period for a class of second order impulsive systems
Based on variational methods and critical point theory, the existence of subharmonic solutions with prescribed minimal period for a class of second-order impulsive systems is derived by estimating the energy of the solution. And an example is presented to illustrate the result.
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Format: | Article |
Language: | English |
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University of Szeged
2017-07-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5338 |
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author | Liang Bai Xiaoyun Wang |
author_facet | Liang Bai Xiaoyun Wang |
author_sort | Liang Bai |
collection | DOAJ |
description | Based on variational methods and critical point theory, the existence of subharmonic solutions with prescribed minimal period for a class of second-order impulsive systems is derived by estimating the energy of the solution. And an example is presented to illustrate the result. |
first_indexed | 2024-04-09T13:38:30Z |
format | Article |
id | doaj.art-8a0f4176b6b34e44a6e45b616b17c691 |
institution | Directory Open Access Journal |
issn | 1417-3875 |
language | English |
last_indexed | 2024-04-09T13:38:30Z |
publishDate | 2017-07-01 |
publisher | University of Szeged |
record_format | Article |
series | Electronic Journal of Qualitative Theory of Differential Equations |
spelling | doaj.art-8a0f4176b6b34e44a6e45b616b17c6912023-05-09T07:53:07ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752017-07-0120175411110.14232/ejqtde.2017.1.545338Subharmonic solutions with prescribed minimal period for a class of second order impulsive systemsLiang Bai0Xiaoyun Wang1College of Mathematics,Taiyuan University of Technology, Taiyuan, Shanxi, People's Republic of ChinaCollege of Mathematics,Taiyuan University of Technology, Taiyuan, Shanxi, People's Republic of ChinaBased on variational methods and critical point theory, the existence of subharmonic solutions with prescribed minimal period for a class of second-order impulsive systems is derived by estimating the energy of the solution. And an example is presented to illustrate the result.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5338subharmonic solutionimpulsive systemminimal periodvariational method |
spellingShingle | Liang Bai Xiaoyun Wang Subharmonic solutions with prescribed minimal period for a class of second order impulsive systems Electronic Journal of Qualitative Theory of Differential Equations subharmonic solution impulsive system minimal period variational method |
title | Subharmonic solutions with prescribed minimal period for a class of second order impulsive systems |
title_full | Subharmonic solutions with prescribed minimal period for a class of second order impulsive systems |
title_fullStr | Subharmonic solutions with prescribed minimal period for a class of second order impulsive systems |
title_full_unstemmed | Subharmonic solutions with prescribed minimal period for a class of second order impulsive systems |
title_short | Subharmonic solutions with prescribed minimal period for a class of second order impulsive systems |
title_sort | subharmonic solutions with prescribed minimal period for a class of second order impulsive systems |
topic | subharmonic solution impulsive system minimal period variational method |
url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5338 |
work_keys_str_mv | AT liangbai subharmonicsolutionswithprescribedminimalperiodforaclassofsecondorderimpulsivesystems AT xiaoyunwang subharmonicsolutionswithprescribedminimalperiodforaclassofsecondorderimpulsivesystems |