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Asymptotic equivalence between two difference systems

✍ Scribed by Sung Kyu Choi; Nam Jip Koo; Hyun Sook Ryu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
588 KB
Volume
45
Category
Article
ISSN
0898-1221

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✦ Synopsis

this paper, we study the asymptotic equivalence between the linear system AZ(~) = A(n)%(n) and its perturbation Ay(n) = A(n)y(n) +g(n, y(n)) by using the comparison principle and supplementary projections. Furthermore, we establish some asymptotic properties for the nonlinear system A%(n) = f(n, z(n)).

πŸ“œ SIMILAR VOLUMES

Asymptotic equivalence between two linea
Asymptotic equivalence between two linear volterra difference systems
✍ Sung Kyu Choi; Nam Jip Koo πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 590 KB

we study asymptotic equivalence between the solutions of linear Volterra difference system z(n + 1) = A(n)z(n) + 2 B(n, s)z(s) s=ng and its perturbed system Y(" + 1) = A(n)y(n) + 5 B(n, S)Y(S) + F(n) .9=7x()