Asymptotic behavior of second-order impulsive differential equations
In this article, we study the asymptotic behavior of all solutions of 2-th order nonlinear delay differential equation with impulses. Our main tools are impulsive differential inequalities and the Riccati transformation. We illustrate the results by an example.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/33/abstr.html |
| _version_ | 1818690355851165696 |
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| author | Haifeng Liu Qiaoluan Li |
| author_facet | Haifeng Liu Qiaoluan Li |
| author_sort | Haifeng Liu |
| collection | DOAJ |
| description | In this article, we study the asymptotic behavior of all solutions of 2-th order nonlinear delay differential equation with impulses. Our main tools are impulsive differential inequalities and the Riccati transformation. We illustrate the results by an example. |
| first_indexed | 2024-12-17T12:24:41Z |
| format | Article |
| id | doaj.art-1c6c1cdfe6214953aadba9bbd2e850ad |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-17T12:24:41Z |
| publishDate | 2011-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-1c6c1cdfe6214953aadba9bbd2e850ad2022-12-21T21:48:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-02-01201133,17Asymptotic behavior of second-order impulsive differential equationsHaifeng LiuQiaoluan LiIn this article, we study the asymptotic behavior of all solutions of 2-th order nonlinear delay differential equation with impulses. Our main tools are impulsive differential inequalities and the Riccati transformation. We illustrate the results by an example.http://ejde.math.txstate.edu/Volumes/2011/33/abstr.htmlImpulsive differential equationasymptotic behaviorsecond-order |
| spellingShingle | Haifeng Liu Qiaoluan Li Asymptotic behavior of second-order impulsive differential equations Electronic Journal of Differential Equations Impulsive differential equation asymptotic behavior second-order |
| title | Asymptotic behavior of second-order impulsive differential equations |
| title_full | Asymptotic behavior of second-order impulsive differential equations |
| title_fullStr | Asymptotic behavior of second-order impulsive differential equations |
| title_full_unstemmed | Asymptotic behavior of second-order impulsive differential equations |
| title_short | Asymptotic behavior of second-order impulsive differential equations |
| title_sort | asymptotic behavior of second order impulsive differential equations |
| topic | Impulsive differential equation asymptotic behavior second-order |
| url | http://ejde.math.txstate.edu/Volumes/2011/33/abstr.html |
| work_keys_str_mv | AT haifengliu asymptoticbehaviorofsecondorderimpulsivedifferentialequations AT qiaoluanli asymptoticbehaviorofsecondorderimpulsivedifferentialequations |