Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales
As the unification and development of impulsive differential equations and difference equations, impulsive dynamic equations on time scales are a powerful tool to simulate the natural and social phenomena. In this paper, we study the interval oscillation of a type of forced second-order nonlinear im...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/7524743 |
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| _version_ | 1832554433610776576 |
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| author | Mugen Huang Kunwen Wen |
| author_facet | Mugen Huang Kunwen Wen |
| author_sort | Mugen Huang |
| collection | DOAJ |
| description | As the unification and development of impulsive differential equations and difference equations, impulsive dynamic equations on time scales are a powerful tool to simulate the natural and social phenomena. In this paper, we study the interval oscillation of a type of forced second-order nonlinear impulsive dynamic equations with changing signs coefficients. By using the Riccati transformation technique, we obtain some new interval oscillation criteria, based only on information of a sequence of subintervals of positive axis. In addition, we provide an example to illustrate the use of our oscillatory results. |
| format | Article |
| id | doaj-art-8422ff72ac68442c85a11a4c493c3dec |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8422ff72ac68442c85a11a4c493c3dec2025-02-03T05:51:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/75247437524743Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time ScalesMugen Huang0Kunwen Wen1School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou, Guangdong 514015, ChinaDepartment of Mathematics, Jiaying University, Meizhou, Guangdong 514015, ChinaAs the unification and development of impulsive differential equations and difference equations, impulsive dynamic equations on time scales are a powerful tool to simulate the natural and social phenomena. In this paper, we study the interval oscillation of a type of forced second-order nonlinear impulsive dynamic equations with changing signs coefficients. By using the Riccati transformation technique, we obtain some new interval oscillation criteria, based only on information of a sequence of subintervals of positive axis. In addition, we provide an example to illustrate the use of our oscillatory results.http://dx.doi.org/10.1155/2019/7524743 |
| spellingShingle | Mugen Huang Kunwen Wen Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales Discrete Dynamics in Nature and Society |
| title | Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales |
| title_full | Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales |
| title_fullStr | Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales |
| title_full_unstemmed | Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales |
| title_short | Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales |
| title_sort | oscillation for forced second order impulsive nonlinear dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2019/7524743 |
| work_keys_str_mv | AT mugenhuang oscillationforforcedsecondorderimpulsivenonlineardynamicequationsontimescales AT kunwenwen oscillationforforcedsecondorderimpulsivenonlineardynamicequationsontimescales |