On asymptotic approximations of first integrals for second order difference equations

Author:

Rafei M.,Van Horssen W. T.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference18 articles.

1. Van Horssen, W.T.: On asymptotic approximations of first integrals for differential and difference equations. J. Indones. Math. Soc. 13, 1–15 (2007)

2. Van Horssen, W.T.: On integrating factors for ordinary differential equations. Nieuw Arch. Wisk. 15, 15–26 (1997)

3. Van Horssen, W.T.: A perturbation based on integrating factors. SIAM J. Appl. Math 59, 1427–1443 (1999)

4. Van Horssen, W.T.: A perturbation based on integrating vectors and multiple scales. SIAM J. Appl. Math 59, 1444–1467 (1999)

5. Agarwal, R.P.: Difference Equations and Inequalities. Dekker, New York (1992)

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1. Geometric Series Method and Exact Solutions of Differential-Difference Equations;Advanced Structured Materials;2020-11-03

2. Multiple scales and matched asymptotic expansions for the discrete logistic equation;Nonlinear Dynamics;2016-04-18

3. On constructing accurate approximations of first integrals for difference equations;Communications in Nonlinear Science and Numerical Simulation;2013-04

4. Multiple Scales;Texts in Applied Mathematics;2013

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