Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions

Omar Bazighifan; Maryam Al-Kandari; Khalil S. Al-Ghafri; F. Ghanim; Sameh Askar; Georgia Irina Oros

doi:10.3390/sym13112015

Symmetry (Oct 2021)

Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions

Omar Bazighifan,
Maryam Al-Kandari,
Khalil S. Al-Ghafri,
F. Ghanim,
Sameh Askar,
Georgia Irina Oros

Affiliations

Omar Bazighifan: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
Maryam Al-Kandari: Department of Mathematics, Kuwait University, P.O. Box 5969, Safat, Khaldiyah City 13060, Kuwait
Khalil S. Al-Ghafri: University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman
F. Ghanim: Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates
Sameh Askar: Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Georgia Irina Oros: Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania

DOI: https://doi.org/10.3390/sym13112015
Journal volume & issue: Vol. 13, no. 11
p. 2015

Abstract

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In this work, by using the comparison method and Riccati transformation, we obtain some oscillation criteria of solutions of delay differential equations of fourth-order in canonical form. These criteria complement those results in the literature. We give two examples to illustrate the main results. Symmetry plays an essential role in determining the correct methods for solutions to differential equations.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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