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AL-Rafidain Journal of Computer Sciences and Mathematics

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

    Thair Y . Thanoon Saad Fawzi AL-Azzawi

AL-Rafidain Journal of Computer Sciences and Mathematics, 2008, Volume 5, Issue 1, Pages 127-138
10.33899/csmj.2008.163955

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Abstract

    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  ,       ,         
               ,        

    The characteristic equation of the above differential equation has complex roots of the form :
 and the other root has the following                 ,       .        property
 
Keywords:
    Stability Critical Case
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(2008). Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case. AL-Rafidain Journal of Computer Sciences and Mathematics, 5(1), 127-138. doi: 10.33899/csmj.2008.163955
Thair Y . Thanoon; Saad Fawzi AL-Azzawi. "Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case". AL-Rafidain Journal of Computer Sciences and Mathematics, 5, 1, 2008, 127-138. doi: 10.33899/csmj.2008.163955
(2008). 'Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case', AL-Rafidain Journal of Computer Sciences and Mathematics, 5(1), pp. 127-138. doi: 10.33899/csmj.2008.163955
Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case. AL-Rafidain Journal of Computer Sciences and Mathematics, 2008; 5(1): 127-138. doi: 10.33899/csmj.2008.163955
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