Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales
In this article, several new oscillation theorems for n-th-order neutral dynamic equations with mixed nonlinearities are established. Our work extends some known results in the literature on second-order, third-order, and higher-order linear and half-linear dynamic equations. Two examples are pr...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/16/abstr.html |
| _version_ | 1819195163965128704 |
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| author | Xian-Yong Huang |
| author_facet | Xian-Yong Huang |
| author_sort | Xian-Yong Huang |
| collection | DOAJ |
| description | In this article, several new oscillation theorems for n-th-order
neutral dynamic equations with mixed nonlinearities are
established. Our work extends some known results in the literature
on second-order, third-order, and higher-order linear and
half-linear dynamic equations. Two examples are provided to illustrate
the relevance of the new theorems. |
| first_indexed | 2024-12-23T02:08:24Z |
| format | Article |
| id | doaj.art-0da1fe09d5d74977a6d67d7bd303f10e |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T02:08:24Z |
| publishDate | 2016-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0da1fe09d5d74977a6d67d7bd303f10e2022-12-21T18:03:50ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-01-01201616,118Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scalesXian-Yong Huang0 Sun Yat-sen Univ., Guangzhou, China In this article, several new oscillation theorems for n-th-order neutral dynamic equations with mixed nonlinearities are established. Our work extends some known results in the literature on second-order, third-order, and higher-order linear and half-linear dynamic equations. Two examples are provided to illustrate the relevance of the new theorems.http://ejde.math.txstate.edu/Volumes/2016/16/abstr.htmlNeutral dynamic equationoscillationmixed nonlinearitiesgeneralized Riccati technique |
| spellingShingle | Xian-Yong Huang Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales Electronic Journal of Differential Equations Neutral dynamic equation oscillation mixed nonlinearities generalized Riccati technique |
| title | Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales |
| title_full | Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales |
| title_fullStr | Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales |
| title_full_unstemmed | Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales |
| title_short | Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales |
| title_sort | oscillatory behavior of n th order neutral dynamic equations with mixed nonlinearities on time scales |
| topic | Neutral dynamic equation oscillation mixed nonlinearities generalized Riccati technique |
| url | http://ejde.math.txstate.edu/Volumes/2016/16/abstr.html |
| work_keys_str_mv | AT xianyonghuang oscillatorybehaviorofnthorderneutraldynamicequationswithmixednonlinearitiesontimescales |