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

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....

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Autores principales: Omar Bazighifan, Maryam Al-Kandari, Khalil S. Al-Ghafri, F. Ghanim, Sameh Askar, Georgia Irina Oros
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/0ae3c2db0ce7482ca852b363ad16d63a
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spelling oai:doaj.org-article:0ae3c2db0ce7482ca852b363ad16d63a2021-11-25T19:06:03ZDelay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions10.3390/sym131120152073-8994https://doaj.org/article/0ae3c2db0ce7482ca852b363ad16d63a2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2015https://doaj.org/toc/2073-8994In 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.Omar BazighifanMaryam Al-KandariKhalil S. Al-GhafriF. GhanimSameh AskarGeorgia Irina OrosMDPI AGarticledifferential equationsdamped delayfourth-orderoscillationMathematicsQA1-939ENSymmetry, Vol 13, Iss 2015, p 2015 (2021)
institution DOAJ
collection DOAJ
language EN
topic differential equations
damped delay
fourth-order
oscillation
Mathematics
QA1-939
spellingShingle differential equations
damped delay
fourth-order
oscillation
Mathematics
QA1-939
Omar Bazighifan
Maryam Al-Kandari
Khalil S. Al-Ghafri
F. Ghanim
Sameh Askar
Georgia Irina Oros
Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions
description 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.
format article
author Omar Bazighifan
Maryam Al-Kandari
Khalil S. Al-Ghafri
F. Ghanim
Sameh Askar
Georgia Irina Oros
author_facet Omar Bazighifan
Maryam Al-Kandari
Khalil S. Al-Ghafri
F. Ghanim
Sameh Askar
Georgia Irina Oros
author_sort Omar Bazighifan
title Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions
title_short Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions
title_full Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions
title_fullStr Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions
title_full_unstemmed Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions
title_sort delay differential equations of fourth-order: oscillation and asymptotic properties of solutions
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/0ae3c2db0ce7482ca852b363ad16d63a
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AT khalilsalghafri delaydifferentialequationsoffourthorderoscillationandasymptoticpropertiesofsolutions
AT fghanim delaydifferentialequationsoffourthorderoscillationandasymptoticpropertiesofsolutions
AT samehaskar delaydifferentialequationsoffourthorderoscillationandasymptoticpropertiesofsolutions
AT georgiairinaoros delaydifferentialequationsoffourthorderoscillationandasymptoticpropertiesofsolutions
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