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

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 l...

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Main Authors: Sethi, Abhay Kumar, Ghaderi, Mehran, Rezapour, Shahram, Kaabar, Mohammed K. A., Inc, Mostafa, Masiha, Hashem Parvaneh
Format: Article
Published: SPRINGER HEIDELBERG 2022
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/41814/
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spelling my.um.eprints.418142023-10-23T04:45:07Z http://eprints.um.edu.my/41814/ Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations Sethi, Abhay Kumar Ghaderi, Mehran Rezapour, Shahram Kaabar, Mohammed K. A. Inc, Mostafa Masiha, Hashem Parvaneh QA Mathematics 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. SPRINGER HEIDELBERG 2022-08 Article PeerReviewed 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 <https://doi.org/10.1007/s12190-021-01629-3>. 10.1007/s12190-021-01629-3
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Sethi, Abhay Kumar
Ghaderi, Mehran
Rezapour, Shahram
Kaabar, Mohammed K. A.
Inc, Mostafa
Masiha, Hashem Parvaneh
Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
description 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.
format Article
author Sethi, Abhay Kumar
Ghaderi, Mehran
Rezapour, Shahram
Kaabar, Mohammed K. A.
Inc, Mostafa
Masiha, Hashem Parvaneh
author_facet Sethi, Abhay Kumar
Ghaderi, Mehran
Rezapour, Shahram
Kaabar, Mohammed K. A.
Inc, Mostafa
Masiha, Hashem Parvaneh
author_sort Sethi, Abhay Kumar
title Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
title_short Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
title_full Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
title_fullStr Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
title_full_unstemmed Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
title_sort sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
publisher SPRINGER HEIDELBERG
publishDate 2022
url http://eprints.um.edu.my/41814/
_version_ 1781704559502032896
score 13.18916

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