Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables
In this article, we study the oscillatory behavior of solutions to even-order nonlinear neutral difference equations of the form ∆mτ(x(t) − px(t − r)) + f(t, x(g(t))) = 0. Using an integral transformation, the Riccati transformation, and iteration, we obtain sufficient conditions for all solutions t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academic Journals Database
2015
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| Online Access: | https://repository.londonmet.ac.uk/4622/1/Paper_Oscillation%20criteria.pdf |
| _version_ | 1825625347422420992 |
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| author | Wu, Shuhui Calay, Pargat Singh Hou, Zhanyuan |
| author_facet | Wu, Shuhui Calay, Pargat Singh Hou, Zhanyuan |
| author_sort | Wu, Shuhui |
| collection | LMU |
| description | In this article, we study the oscillatory behavior of solutions to even-order nonlinear neutral difference equations of the form ∆mτ(x(t) − px(t − r)) + f(t, x(g(t))) = 0. Using an integral transformation, the Riccati transformation, and iteration, we obtain sufficient conditions for all solutions to be oscillatory. Examples are also given to illustrate the obtained criteria. |
| first_indexed | 2024-07-09T03:57:40Z |
| format | Article |
| id | oai:repository.londonmet.ac.uk:4622 |
| institution | London Metropolitan University |
| language | English |
| last_indexed | 2024-07-09T03:57:40Z |
| publishDate | 2015 |
| publisher | Academic Journals Database |
| record_format | eprints |
| spelling | oai:repository.londonmet.ac.uk:46222019-02-18T10:39:04Z https://repository.londonmet.ac.uk/4622/ Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables Wu, Shuhui Calay, Pargat Singh Hou, Zhanyuan 510 Mathematics In this article, we study the oscillatory behavior of solutions to even-order nonlinear neutral difference equations of the form ∆mτ(x(t) − px(t − r)) + f(t, x(g(t))) = 0. Using an integral transformation, the Riccati transformation, and iteration, we obtain sufficient conditions for all solutions to be oscillatory. Examples are also given to illustrate the obtained criteria. Academic Journals Database 2015-05-07 Article PeerReviewed text en cc_by_nc_nd https://repository.londonmet.ac.uk/4622/1/Paper_Oscillation%20criteria.pdf Wu, Shuhui, Calay, Pargat Singh and Hou, Zhanyuan (2015) Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables. Electronic Journal of Differential Equations, 2015 (128). pp. 1-14. ISSN 1072-6691 http://ejde.math.unt.edu/Volumes/2015/128/wu.pdf |
| spellingShingle | 510 Mathematics Wu, Shuhui Calay, Pargat Singh Hou, Zhanyuan Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables |
| title | Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables |
| title_full | Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables |
| title_fullStr | Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables |
| title_full_unstemmed | Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables |
| title_short | Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables |
| title_sort | oscillation criteria for even order nonlinear neutral difference equations with continuous variables |
| topic | 510 Mathematics |
| url | https://repository.londonmet.ac.uk/4622/1/Paper_Oscillation%20criteria.pdf |
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