Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales
Abstract In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by employing Banach spaces and Krasnoselskii’s fixed point theorem. Two examples are give...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Advances in Difference Equations |
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| Online Access: | https://doi.org/10.1186/s13662-019-2451-3 |
| _version_ | 1819122287395209216 |
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| author | Yang-Cong Qiu |
| author_facet | Yang-Cong Qiu |
| author_sort | Yang-Cong Qiu |
| collection | DOAJ |
| description | Abstract In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by employing Banach spaces and Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the applications of the results. |
| first_indexed | 2024-12-22T06:50:03Z |
| format | Article |
| id | doaj.art-c3d829bdd23d4c79a94720e7c614040b |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T06:50:03Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-c3d829bdd23d4c79a94720e7c614040b2022-12-21T18:35:11ZengSpringerOpenAdvances in Difference Equations1687-18472019-12-012019111510.1186/s13662-019-2451-3Nonoscillatory solutions to fourth-order neutral dynamic equations on time scalesYang-Cong Qiu0School of Humanities, Shunde PolytechnicAbstract In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by employing Banach spaces and Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the applications of the results.https://doi.org/10.1186/s13662-019-2451-3Nonoscillatory solutionNeutral dynamic equationFourth-orderTime scale |
| spellingShingle | Yang-Cong Qiu Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales Advances in Difference Equations Nonoscillatory solution Neutral dynamic equation Fourth-order Time scale |
| title | Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales |
| title_full | Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales |
| title_fullStr | Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales |
| title_full_unstemmed | Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales |
| title_short | Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales |
| title_sort | nonoscillatory solutions to fourth order neutral dynamic equations on time scales |
| topic | Nonoscillatory solution Neutral dynamic equation Fourth-order Time scale |
| url | https://doi.org/10.1186/s13662-019-2451-3 |
| work_keys_str_mv | AT yangcongqiu nonoscillatorysolutionstofourthorderneutraldynamicequationsontimescales |