Lagrange stability for a class of impulsive Duffing equation with low regularity
We discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time) are bounded for all time and that there are...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10486 |
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| _version_ | 1850025401519177728 |
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| author | Xiaolong He Yueqin Sun Jianhua Shen |
| author_facet | Xiaolong He Yueqin Sun Jianhua Shen |
| author_sort | Xiaolong He |
| collection | DOAJ |
| description | We discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time) are bounded for all time and that there are many (positive Lebesgue measure) quasi-periodic solutions clustering at infinity. |
| format | Article |
| id | doaj-art-d1a0fbce47024c4cb9e930ed5b85d8de |
| institution | DOAJ |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-d1a0fbce47024c4cb9e930ed5b85d8de2025-08-20T03:00:51ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-01-012024912210.14232/ejqtde.2024.1.910486Lagrange stability for a class of impulsive Duffing equation with low regularityXiaolong He0https://orcid.org/0000-0002-3165-2883Yueqin SunJianhua Shen1Hangzhou Normal University, Hangzhou, P.R. ChinaHangzhou Normal University, Hangzhou, P.R. ChinaWe discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time) are bounded for all time and that there are many (positive Lebesgue measure) quasi-periodic solutions clustering at infinity.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10486boundednessquasi-periodic solutionmoser's twist theoremimpulsive duffing equation |
| spellingShingle | Xiaolong He Yueqin Sun Jianhua Shen Lagrange stability for a class of impulsive Duffing equation with low regularity Electronic Journal of Qualitative Theory of Differential Equations boundedness quasi-periodic solution moser's twist theorem impulsive duffing equation |
| title | Lagrange stability for a class of impulsive Duffing equation with low regularity |
| title_full | Lagrange stability for a class of impulsive Duffing equation with low regularity |
| title_fullStr | Lagrange stability for a class of impulsive Duffing equation with low regularity |
| title_full_unstemmed | Lagrange stability for a class of impulsive Duffing equation with low regularity |
| title_short | Lagrange stability for a class of impulsive Duffing equation with low regularity |
| title_sort | lagrange stability for a class of impulsive duffing equation with low regularity |
| topic | boundedness quasi-periodic solution moser's twist theorem impulsive duffing equation |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10486 |
| work_keys_str_mv | AT xiaolonghe lagrangestabilityforaclassofimpulsiveduffingequationwithlowregularity AT yueqinsun lagrangestabilityforaclassofimpulsiveduffingequationwithlowregularity AT jianhuashen lagrangestabilityforaclassofimpulsiveduffingequationwithlowregularity |