Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales
We study oscillatory properties for second-order impulsive neutral dynamic equations with positive and negative coefficients on time scales. By using variable substitution, we obtain sufficient conditions for several dynamic equations to be oscillatory.
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Language: | English |
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Wiley
2021-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2021/3980250 |
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author | Shuang Zhang Qiaoluan Li |
author_facet | Shuang Zhang Qiaoluan Li |
author_sort | Shuang Zhang |
collection | DOAJ |
description | We study oscillatory properties for second-order impulsive neutral dynamic equations with positive and negative coefficients on time scales. By using variable substitution, we obtain sufficient conditions for several dynamic equations to be oscillatory. |
format | Article |
id | doaj-art-3784fb551fe448739b5ee6a940c7e615 |
institution | Kabale University |
issn | 2314-4629 2314-4785 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Mathematics |
spelling | doaj-art-3784fb551fe448739b5ee6a940c7e6152025-02-03T01:05:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/39802503980250Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time ScalesShuang Zhang0Qiaoluan Li1School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, ChinaSchool of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, ChinaWe study oscillatory properties for second-order impulsive neutral dynamic equations with positive and negative coefficients on time scales. By using variable substitution, we obtain sufficient conditions for several dynamic equations to be oscillatory.http://dx.doi.org/10.1155/2021/3980250 |
spellingShingle | Shuang Zhang Qiaoluan Li Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales Journal of Mathematics |
title | Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales |
title_full | Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales |
title_fullStr | Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales |
title_full_unstemmed | Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales |
title_short | Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales |
title_sort | oscillatory properties for second order impulsive neutral dynamic equations with positive and negative coefficients on time scales |
url | http://dx.doi.org/10.1155/2021/3980250 |
work_keys_str_mv | AT shuangzhang oscillatorypropertiesforsecondorderimpulsiveneutraldynamicequationswithpositiveandnegativecoefficientsontimescales AT qiaoluanli oscillatorypropertiesforsecondorderimpulsiveneutraldynamicequationswithpositiveandnegativecoefficientsontimescales |