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.

Bibliographic Details
Main Authors: Liang Bai, Xiaoyun Wang
Format: Article
Language:English
Published: University of Szeged 2017-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_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.
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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&paramtipus_ertek=publication&param_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&paramtipus_ertek=publication&param_ertek=5338
work_keys_str_mv AT liangbai subharmonicsolutionswithprescribedminimalperiodforaclassofsecondorderimpulsivesystems
AT xiaoyunwang subharmonicsolutionswithprescribedminimalperiodforaclassofsecondorderimpulsivesystems