On a class of nonlinear dynamical systems: the structure of a differential operator in the application of the decomposition method

DOI10.1016/0022-247X(87)90033-3zbMath0624.34036MaRDI QIDQ1092215

Riccardo Riganti

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

decomposition method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Dynamical systems and ergodic theory (37-XX)

Related Items (10)

Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method ⋮ Random heat equation: Solutions by the stochastic adaptive interpolation method ⋮ Solving the nonlinear equations of physics ⋮ Analytic solutions for nonlinear equations ⋮ A review of the decomposition method in applied mathematics ⋮ An application of the decomposition method to the matrix Riccati equation in a neutron transport process ⋮ Convenient analytic recurrence algorithms for the Adomian polynomials ⋮ New ideas for decomposing nonlinearities in differential equations ⋮ New recurrence algorithms for the nonclassic Adomian polynomials ⋮ On a class of nonlinear stochastic dynamical systems: Analysis of the transient behaviour

Cites Work

• A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
• Nonlinear equations with mixed derivatives
• Inversion of nonlinear stochastic operators
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