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https://doi.org/10.1016/S0895-7177(00)00147-3
Title: | A class of ergodic solutions of nonlinear differential equations and numerical treatment | Authors: | Agarwal, R.P. Hong, J. Liu, Y. |
Keywords: | Exponential trichotomy 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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