Stability of a linear difference equation and estimation of its fundamental solution-Reference-Cited by-同舟云学术

Stability of a linear difference equation and estimation of its fundamental solution

Published:2011-11-27 Issue:12 Volume:55 Page:23-33
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Kulikov A. Yu.,Malygina V. V.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S1066369X11120048.pdf

Reference17 articles.

1. D. L. Andrianov, “Boundary Value Problems and Control Problems for Linear Difference Systems with Aftereffect,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 5, 3–16 (1993) [Russian Mathematics (Iz. VUZ) 37 (5), 1–12 (1993)].

2. V. V. Malygina and A. Yu. Kulikov, “On the Stability of Nonautonomous Difference Equations with Several Delays,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 3, 18–26 (2008) [Russian Mathematics (Iz. VUZ) 52 (3), 15–23 (2008)].

3. A. Yu. Kulikov and V. V. Malygina, “Stability of Semi-Autonomous Difference Equations,” Izv. Vyssh. Uchebn. Zaved.Mat., No. 5, 25–34 (2011) [Russian Mathematics (Iz. VUZ), 55 (5), 19–27 (2011)].

4. L. Berezansky and E. Braverman, “On Exponential Dichotomy, Bohl-Perron Type Theorems and Stability of Difference Equations,” J. Math. Anal. Appl. 304(2), 511–530 (2005).

5. I. S. Levitskaya, “A Note on the Stability Oval for x n+1 = x n + Ax n−k,” J. Difference Equat. Appl. 11(8), 701–705 (2005).

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