Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case

Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case

In this paper, we study the conditions under which the zero solution is stable in the semi- liner case for certain third order differential equation of the form :            Where    ,   s = 1,2,3  ,       ,          <strong>             </strong>  ,<strong>        <br clear=&qu...

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Bibliographic Details
Main Authors: Thair Thanoon, Saad AL-Azzawi
Format: Article
Language:Arabic
Published: Mosul University 2008-06-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
stability
critical case
Online Access:https://csmj.mosuljournals.com/article_163955_7918a18e4781a12be23543fe3df34a3c.pdf
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spelling doaj-600ebe9d307c4f3283937a914f380e2f2020-11-25T04:01:35ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902008-06-015112713810.33899/csmj.2008.163955163955Stability Conditions of Zero Solution for Third Order Differential Equation in Critical CaseThair Thanoon0Saad AL-Azzawi1Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, IraqDepartment of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, IraqIn this paper, we study the conditions under which the zero solution is stable in the semi- liner case for certain third order differential equation of the form :            Where    ,   s = 1,2,3  ,       ,          <strong>             </strong>  ,<strong>        <br clear="all" /> </strong>     The characteristic equation of the above differential equation has complex roots of the form :  and the other root has the following                 ,       .        propertyhttps://csmj.mosuljournals.com/article_163955_7918a18e4781a12be23543fe3df34a3c.pdfstabilitycritical case
collection DOAJ
language Arabic
format Article
sources DOAJ
author Thair Thanoon
Saad AL-Azzawi
spellingShingle Thair Thanoon
Saad AL-Azzawi
Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case
Al-Rafidain Journal of Computer Sciences and Mathematics
stability
critical case
author_facet Thair Thanoon
Saad AL-Azzawi
author_sort Thair Thanoon
title Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case
title_short Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case
title_full Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case
title_fullStr Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case
title_full_unstemmed Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case
title_sort stability conditions of zero solution for third order differential equation in critical case
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2008-06-01
description In this paper, we study the conditions under which the zero solution is stable in the semi- liner case for certain third order differential equation of the form :            Where    ,   s = 1,2,3  ,       ,          <strong>             </strong>  ,<strong>        <br clear="all" /> </strong>     The characteristic equation of the above differential equation has complex roots of the form :  and the other root has the following                 ,       .        property
topic stability
critical case
url https://csmj.mosuljournals.com/article_163955_7918a18e4781a12be23543fe3df34a3c.pdf
work_keys_str_mv AT thairthanoon stabilityconditionsofzerosolutionforthirdorderdifferentialequationincriticalcase
AT saadalazzawi stabilityconditionsofzerosolutionforthirdorderdifferentialequationincriticalcase
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