Important Criteria for Asymptotic Properties of Nonlinear Differential Equations
In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject. We use the Riccati technique and the integral averaging technique to prove our results. As proof of the effec...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/14/1659 |
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| author | Ahmed AlGhamdi Omar Bazighifan Rami Ahmad El-Nabulsi |
| author_facet | Ahmed AlGhamdi Omar Bazighifan Rami Ahmad El-Nabulsi |
| author_sort | Ahmed AlGhamdi |
| collection | DOAJ |
| description | In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject. We use the Riccati technique and the integral averaging technique to prove our results. As proof of the effectiveness of the new criteria, we offer more than one practical example. |
| first_indexed | 2024-03-10T09:32:36Z |
| format | Article |
| id | doaj.art-a6a462222f4c419ebde73c3a303fcfe5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T09:32:36Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a6a462222f4c419ebde73c3a303fcfe52023-11-22T04:20:13ZengMDPI AGMathematics2227-73902021-07-01914165910.3390/math9141659Important Criteria for Asymptotic Properties of Nonlinear Differential EquationsAhmed AlGhamdi0Omar Bazighifan1Rami Ahmad El-Nabulsi2Department of Computer Engineering, College of Computers and Information Technology, Taif University, Taif 21944, Saudi ArabiaSection of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, ItalyResearch Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandIn this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject. We use the Riccati technique and the integral averaging technique to prove our results. As proof of the effectiveness of the new criteria, we offer more than one practical example.https://www.mdpi.com/2227-7390/9/14/1659fourth-order differential equationsneutral delayoscillation |
| spellingShingle | Ahmed AlGhamdi Omar Bazighifan Rami Ahmad El-Nabulsi Important Criteria for Asymptotic Properties of Nonlinear Differential Equations Mathematics fourth-order differential equations neutral delay oscillation |
| title | Important Criteria for Asymptotic Properties of Nonlinear Differential Equations |
| title_full | Important Criteria for Asymptotic Properties of Nonlinear Differential Equations |
| title_fullStr | Important Criteria for Asymptotic Properties of Nonlinear Differential Equations |
| title_full_unstemmed | Important Criteria for Asymptotic Properties of Nonlinear Differential Equations |
| title_short | Important Criteria for Asymptotic Properties of Nonlinear Differential Equations |
| title_sort | important criteria for asymptotic properties of nonlinear differential equations |
| topic | fourth-order differential equations neutral delay oscillation |
| url | https://www.mdpi.com/2227-7390/9/14/1659 |
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