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AL-Rafidain Journal of Computer Sciences and Mathematics

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Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases

    Thair Younis Thanoon Zena Talal Yaseen

AL-Rafidain Journal of Computer Sciences and Mathematics, 2013, Volume 10, Issue 2, Pages 13-23
10.33899/csmj.2013.163469

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Abstract

In this paper we study the conditions under which the zero solution iscenter of Gravity in the semi-liner case for certain third order differential equation of the form:
 
We have:
 
 
The characteristic equation of the above differential equation has complex roots of the form :
  ,
and the other root has the following property .
 
Keywords:
    Stability theory Critical cases Center of gravity
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(2013). Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases. AL-Rafidain Journal of Computer Sciences and Mathematics, 10(2), 13-23. doi: 10.33899/csmj.2013.163469
Thair Younis Thanoon; Zena Talal Yaseen. "Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases". AL-Rafidain Journal of Computer Sciences and Mathematics, 10, 2, 2013, 13-23. doi: 10.33899/csmj.2013.163469
(2013). 'Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases', AL-Rafidain Journal of Computer Sciences and Mathematics, 10(2), pp. 13-23. doi: 10.33899/csmj.2013.163469
Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases. AL-Rafidain Journal of Computer Sciences and Mathematics, 2013; 10(2): 13-23. doi: 10.33899/csmj.2013.163469
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