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|Title:||A class of ergodic solutions of nonlinear differential equations and numerical treatment||Authors:||Agarwal, R.P.
Nonlinear differential equations
Numerical solution of initial value problem
Pseudo almost-periodic solutions
|Issue Date:||Aug-2000||Citation:||Agarwal, R.P., Hong, J., Liu, Y. (2000-08). A class of ergodic solutions of nonlinear differential equations and numerical treatment. Mathematical and Computer Modelling 32 (3-4) : 493-506. ScholarBank@NUS Repository. https://doi.org/10.1016/S0895-7177(00)00147-3||Abstract:||In this paper, we give existence theorems of a class of ergodic solutions, pseudo almost-periodic solutions, for nonlinear differential equations. Based on these, a useful numerical method of such kind of solutions for nonlinear differential equations is established. A numerical example of the ergodic type nonlinear oscillation equation is illustrated by both the symplectic scheme and the method of computing initial value for the pseudo almost-periodic solution. (C) 2000 Elsevier Science Ltd.||Source Title:||Mathematical and Computer Modelling||URI:||http://scholarbank.nus.edu.sg/handle/10635/102611||ISSN:||08957177||DOI:||10.1016/S0895-7177(00)00147-3|
|Appears in Collections:||Staff Publications|
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