On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term
In this paper, we discuss the oscillatory behavior of solutions of two general classes of nonlinear second-order differential equations. New criteria are obtained using Riccati transformations and the integral averaging techniques. The obtained results improve and generalize some recent criteria in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/7/1096 |
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| author | Mohamed Mazen Mohamed M. A. El-Sheikh Samah Euat Tallah Gamal A. F. Ismail |
| author_facet | Mohamed Mazen Mohamed M. A. El-Sheikh Samah Euat Tallah Gamal A. F. Ismail |
| author_sort | Mohamed Mazen |
| collection | DOAJ |
| description | In this paper, we discuss the oscillatory behavior of solutions of two general classes of nonlinear second-order differential equations. New criteria are obtained using Riccati transformations and the integral averaging techniques. The obtained results improve and generalize some recent criteria in the literature. Moreover, a traditional condition is relaxed. Three examples are given to justify the results. |
| first_indexed | 2024-04-24T10:38:42Z |
| format | Article |
| id | doaj.art-0d0e04626e4a47e5a79cbd3badc5dfd3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-24T10:38:42Z |
| publishDate | 2024-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-0d0e04626e4a47e5a79cbd3badc5dfd32024-04-12T13:22:52ZengMDPI AGMathematics2227-73902024-04-01127109610.3390/math12071096On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping TermMohamed Mazen0Mohamed M. A. El-Sheikh1Samah Euat Tallah2Gamal A. F. Ismail3Department of Mathematics, University College for Women, Ain Shams University, Cairo 11566, EgyptDepartment of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, EgyptDepartment of Basic Science, Higher Institute of Foreign Trade & Management Science, Cairo 11765, EgyptDepartment of Mathematics, University College for Women, Ain Shams University, Cairo 11566, EgyptIn this paper, we discuss the oscillatory behavior of solutions of two general classes of nonlinear second-order differential equations. New criteria are obtained using Riccati transformations and the integral averaging techniques. The obtained results improve and generalize some recent criteria in the literature. Moreover, a traditional condition is relaxed. Three examples are given to justify the results.https://www.mdpi.com/2227-7390/12/7/1096differential equationsoscillationdamping termRiccati transformationintegral average technique |
| spellingShingle | Mohamed Mazen Mohamed M. A. El-Sheikh Samah Euat Tallah Gamal A. F. Ismail On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term Mathematics differential equations oscillation damping term Riccati transformation integral average technique |
| title | On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term |
| title_full | On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term |
| title_fullStr | On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term |
| title_full_unstemmed | On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term |
| title_short | On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term |
| title_sort | on the oscillatory behavior of solutions of second order non linear differential equations with damping term |
| topic | differential equations oscillation damping term Riccati transformation integral average technique |
| url | https://www.mdpi.com/2227-7390/12/7/1096 |
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