Classification schemes for nonoscillatory solutions of two-dimensional nonlinear difference systems
โ Scribed by Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 553 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
Classification schemes for nonoscillatory solutions of a class of nonlinear two-dimensional nonlinear difference systems are given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of these solutions are also provided.
๐ SIMILAR VOLUMES
Ymn, {amn} and {bran} are real sequences, m, n E No, and f, g: R --+ R are continuous with uf(u) > 0 and up(u) > 0 for all u โข 0. A solution ({xm~},{y,~,~}) of this system is oscillatory if both components are oscillatory. Some sufficient conditions are derived for all solutions of this system to be
Several new oscillation criteria for two-dimensional nonlinear difference systems are established. Examples which dwell upon the importance of our results are also included.
An exact finite-difference scheme for a system of two linear differential equations with constant coefficients, (d/dt)x(t) = Ax(t), is proposed. The scheme is different from what was proposed by Mickens [Nonstandard Finite Difference Models of Differential Equations, World Scientific, New Jersey, 19