Thanoon, T., AL-Azzawi, S. (2008). Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case. , 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". , 5, 1, 2008, 127-138. doi: 10.33899/csmj.2008.163955
Thanoon, T., AL-Azzawi, S. (2008). 'Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case', , 5(1), pp. 127-138. doi: 10.33899/csmj.2008.163955
Thanoon, T., AL-Azzawi, S. Stability Conditions of Zero Solution for Third Order Differential Equation in Critical Case. , 2008; 5(1): 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
Article 10, Volume 5, Issue 1, 2008, Pages 127-138    PDF (389.11 K)
DOI: 10.33899/csmj.2008.163955
Authors
Thair Y . Thanoon1; Saad Fawzi AL-Azzawi2
1Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
2Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
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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