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

Authors

• Abhay Kumar Sethi
• Mehran Ghaderi
• Shahram Rezapour
• Mohammed K. A. Kaabar
• Mostafa Inc
• Hashem Parvaneh Masiha

Document Type

Article

Publication Date

8-1-2022

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.

Keywords

Oscillation, Positive differentiable function, Second order nonlinear equation, The Riccati transform

Publication Title

Journal of Applied Mathematics and Computing

Recommended Citation

Sethi, Abhay Kumar; Ghaderi, Mehran; Rezapour, Shahram; Kaabar, Mohammed K. A.; Inc, Mostafa; and Masiha, Hashem Parvaneh, "Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations" (2022). Research Publications (2021 to 2025). 901.
https://knova.um.edu.my/research_publications_2021_2025/901

Divisions

MathematicalSciences

Funders

Azarbaijan Shahid Madani University

Volume

68

Issue

4

Publisher

SPRINGER HEIDELBERG

Publisher Location

TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY