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Nonlinear dynamical systems: On the accuracy of Adomian’s decomposition method. (English) Zbl 0719.93041
Summary: This paper deals with the analysis of the time-evolution nonlinear dynamical system modelled by o.d.e. of deterministic type. In particular the convergence and stability of G. Adomian’s solutions [see “Stochastic systems” (1983; Zbl 0523.60056); “Nonlinear stochastic operator equations” (1986; Zbl 0609.60072)] of the problem is investigated. An application is discussed.

93C15 Control/observation systems governed by ordinary differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Full Text: DOI
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