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We also investigate other representations of the relative oscillation numbers connected with different choices of symplectic difference systems associated with (1.1), (1.2) (see Section 3.2).
The Solution of Singular Linear Difference Systems Under Rational Expectations, (with Robert King), International Economic Review, Vol. 39, No 4. November 1998, pages 1015-1026.
System Reduction and Solution Algorithms for Singular Linear Difference Systems under Rational Expectations (with Robert G. King), Computational Economics, (October 2002), 20, pp. 57-86.
We investigate symplectic difference systems with periodic coefficients.
Theorem 4.3 extends [[6], Theorem 1] stated for difference systems.
It covers both ordinary and Volterra difference systems.
Our results are new also for the difference systems.
Furthermore we study the asymptotic equivalence between nonlinear difference systems and their variational difference systems by means of asymptotic equilibria of two systems.
Choi et al. [17, 18] characterized the h-stability for nonlinear difference systems.
A class of difference systems of artificial neural network with two neurons is considered.
See [8, 26, 28, 29] for stability of nonlinear difference systems.
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