Advances in Differential Equations and Control Processes
Volume 1, Issue 1, Pages 1 - 11
(February 2008)
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ADOMIAN STABILITY FOR DIFFERENTIAL EQUATIONS
A. El-Nahhas (Egypt) and I. A. Abdallah (Egypt)
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Abstract: Adomian decomposition method does lead to a power series approximate solution, hence, convergence of the resulting power series is more relevant in terms of applications which eventually may guarantee ODE stability. A linear homogeneous differential equation is considered. Illustrative examples for the stability of the null solution are studied by using the decomposition method. |
Keywords and phrases: Adomian decomposition method, ordinary differential equations, stability theory. |
Communicated by Oluwole D. Makinde |
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