Advances in Differential Equations and Control Processes
Volume 1, Issue 1, Pages 73 - 92
(February 2008)
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SOME QUESTIONS TO BE ANSWERED FOR
THE ADOMIAN STABILITY OF LINEAR
DIFFERENTIAL EQUATIONS
A. El-Nahhas (Egypt) and I. A. Abdallah (Egypt)
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Abstract: A general basic theorem for Adomian stability of the solution of a differential equation is stated and proved. Analytical condition and an alternative graphical method are proposed to decide directly or indirectly; respectively, that the Adomian stability of the null solution is a local or global stability. The question concerned with the classification conditions of the Adomian stability of the null solution is investigated and answered. Illustrative examples are mentioned. |
Keywords and phrases: Adomian decomposition method, ordinary differential equations, stability theory. |
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