Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some know...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/2/129 |
| _version_ | 1797409538003959808 |
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| author | Ravi P. Agarwal Omar Bazighifan Maria Alessandra Ragusa |
| author_facet | Ravi P. Agarwal Omar Bazighifan Maria Alessandra Ragusa |
| author_sort | Ravi P. Agarwal |
| collection | DOAJ |
| description | The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included. |
| first_indexed | 2024-03-09T04:16:21Z |
| format | Article |
| id | doaj.art-631dd0c99437460e99c44ab0347dc3ca |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T04:16:21Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-631dd0c99437460e99c44ab0347dc3ca2023-12-03T13:53:04ZengMDPI AGEntropy1099-43002021-01-0123212910.3390/e23020129Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of SolutionsRavi P. Agarwal0Omar Bazighifan1Maria Alessandra Ragusa2Department of Mathematics, Texas A and M University, Kingsville, TX 78363, USADepartment of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, YemenDepartment of Mathematics and Computer Science, University of Catania, 95124 Catania, ItalyThe objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included.https://www.mdpi.com/1099-4300/23/2/129neutral differential equationsoscillationfourth-order differential equationp-Laplacian equations |
| spellingShingle | Ravi P. Agarwal Omar Bazighifan Maria Alessandra Ragusa Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions Entropy neutral differential equations oscillation fourth-order differential equation p-Laplacian equations |
| title | Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions |
| title_full | Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions |
| title_fullStr | Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions |
| title_full_unstemmed | Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions |
| title_short | Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions |
| title_sort | nonlinear neutral delay differential equations of fourth order oscillation of solutions |
| topic | neutral differential equations oscillation fourth-order differential equation p-Laplacian equations |
| url | https://www.mdpi.com/1099-4300/23/2/129 |
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