Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations
In this paper, the authors studied oscillatory behavior of solutions of fourth-order delay difference equation Δc3nΔc2nΔc1nΔun+pnfun−k=0 under the conditions ∑n=n0∞cin<∞, i=1, 2, 3. New oscillation criteria have been obtained which greatly reduce the number of conditions required for the studied...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/1653081 |
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| author | Kandasamy Alagesan Subaramaniyam Jaikumar Govindasamy Ayyappan |
| author_facet | Kandasamy Alagesan Subaramaniyam Jaikumar Govindasamy Ayyappan |
| author_sort | Kandasamy Alagesan |
| collection | DOAJ |
| description | In this paper, the authors studied oscillatory behavior of solutions of fourth-order delay difference equation Δc3nΔc2nΔc1nΔun+pnfun−k=0 under the conditions ∑n=n0∞cin<∞, i=1, 2, 3. New oscillation criteria have been obtained which greatly reduce the number of conditions required for the studied equation. Some examples are presented to show the strength and applicability of the main results. |
| format | Article |
| id | doaj-art-dda5d304c5d44982b804082c8d533b30 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dda5d304c5d44982b804082c8d533b302025-02-03T06:45:54ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/16530811653081Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference EquationsKandasamy Alagesan0Subaramaniyam Jaikumar1Govindasamy Ayyappan2Department of Mathematics, Kandaswami Kandar’s College, Velur 638 182, Tamilnadu, IndiaDepartment of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai, Tamilnadu, IndiaDepartment of Mathematics, Periyar University College of Arts and Science, Pappireddipatti 636 905, Tamilnadu, IndiaIn this paper, the authors studied oscillatory behavior of solutions of fourth-order delay difference equation Δc3nΔc2nΔc1nΔun+pnfun−k=0 under the conditions ∑n=n0∞cin<∞, i=1, 2, 3. New oscillation criteria have been obtained which greatly reduce the number of conditions required for the studied equation. Some examples are presented to show the strength and applicability of the main results.http://dx.doi.org/10.1155/2020/1653081 |
| spellingShingle | Kandasamy Alagesan Subaramaniyam Jaikumar Govindasamy Ayyappan Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations Abstract and Applied Analysis |
| title | Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations |
| title_full | Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations |
| title_fullStr | Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations |
| title_full_unstemmed | Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations |
| title_short | Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations |
| title_sort | some new oscillation criteria for fourth order nonlinear delay difference equations |
| url | http://dx.doi.org/10.1155/2020/1653081 |
| work_keys_str_mv | AT kandasamyalagesan somenewoscillationcriteriaforfourthordernonlineardelaydifferenceequations AT subaramaniyamjaikumar somenewoscillationcriteriaforfourthordernonlineardelaydifferenceequations AT govindasamyayyappan somenewoscillationcriteriaforfourthordernonlineardelaydifferenceequations |