Sethi, Abhay Kumar and Ghaderi, Mehran and Rezapour, Shahram and Kaabar, Mohammed K. A. and Inc, Mostafa and Masiha, Hashem Parvaneh (2022) Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations. Journal of Applied Mathematics and Computing, 68 (4). pp. 2515-2532. ISSN 1598-5865, DOI https://doi.org/10.1007/s12190-021-01629-3.
Full text not available from this repository.Abstract
Some electrical events consist of mathematical models and due to the essence of electric current, their related differential equations have naturally an interesting property where all solutions are oscillatory. Many researchers have studied the necessary conditions for oscillatory solutions in the literature. But in this work, some sufficient conditions are investigated using Riccati transformation for nonlinear second order differential equations in which all solutions are oscillatory. Two illustrative examples are provided to validate our theoretical results. In addition, simulation results and numerical experiments are conducted to validate our obtained results.
| Item Type: | Article |
|---|---|
| Funders: | Azarbaijan Shahid Madani University |
| Uncontrolled Keywords: | Oscillation; Positive differentiable function; Second order nonlinear equation; The Riccati transform |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 23 Oct 2023 04:45 |
| Last Modified: | 23 Oct 2023 04:45 |
| URI: | http://eprints.um.edu.my/id/eprint/41814 |
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