Advances in Differential Equations and Control Processes
Volume 1, Issue 1, Pages 33 - 45
(February 2008)
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ADOMIAN STABILITY ANALYSIS FOR
LINEAR DIFFERENTIAL EQUATIONS WITH
NONCLOSED FORM SOLUTIONS
A. El-Nahhas (Egypt) and I. A. Abdallah (Egypt)
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Abstract: In this paper, an improvement to the Adomian stability is provided with illustrative examples for the stability of the null solution of homogeneous linear differential equations with highly complicated coefficients. The answer of one of the most important problems; how to obtain a direct information about the stability of no closed form solutions of linear differential equations, is introduced. |
Keywords and phrases: Adomian decomposition method, ordinary differential equations, stability theory. |
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