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Journal of Applied Mathematics and Computing

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15.09.2021 | Original Research

Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations

verfasst von: Abhay Kumar Sethi, Mehran Ghaderi, Shahram Rezapour, Mohammed K. A. Kaabar, Mostafa Inc, Hashem Parvaneh Masiha

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 4/2022

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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.

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Titel: Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
verfasst von: Abhay Kumar Sethi
Mehran Ghaderi
Shahram Rezapour
Mohammed K. A. Kaabar
Mostafa Inc
Hashem Parvaneh Masiha
Publikationsdatum: 15.09.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 4/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01629-3

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