| Title:
|
Stability problems for linear differential and difference systems (English) |
| Author:
|
Morchało, Jarosław |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
189-202 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, there are derived sufficient conditions for exponential and asymptotic stability of differential and difference systems. (English) |
| Keyword:
|
differential equations |
| Keyword:
|
difference equations |
| Keyword:
|
stability solutions |
| MSC:
|
34D20 |
| MSC:
|
39A06 |
| MSC:
|
39A11 |
| MSC:
|
39A30 |
| MSC:
|
65Q05 |
| idZBL:
|
Zbl 1212.39023 |
| idMR:
|
MR2591675 |
| . |
| Date available:
|
2009-09-18T11:24:16Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134231 |
| . |
| Reference:
|
[1] Barabashin, E. A.: Automatic and Telemechanic.Science 21 (1960), 10. |
| Reference:
|
[2] Barabashin, E. A.: Introduction to the theory of stability.Noordhoff Publishing, Groningen, 1970, translanted from the Russian by Transcripta Service, London. MR 0264141 |
| Reference:
|
[3] Elaydi, S. N.: An Introduction to Difference Equations.Springer - Verlag New York, 1999. Zbl 0930.39001, MR 1711587 |
| Reference:
|
[4] Halanay, A.: Differential Equations, Stability, Oscillations, Time Lags.Academic Press, New York-London, 1966. Zbl 0144.08701, MR 0216103 |
| Reference:
|
[5] Lakshmikantham, V., Trigiante, D.: Theory of Difference Equations: Numerical Methods and Applications.Academic Press, New York, 1998. MR 0939611 |
| Reference:
|
[6] Morchało, J.: Asymptotic properties of solutions of some Volterra difference equations and second order difference equations.Nonlinear Anal. 63 (2005), 801–811. Zbl 1224.39022, 10.1016/j.na.2005.02.007 |
| Reference:
|
[7] Polniakowski, Z.: Asymptotic properties of solutions of some integral equations and second order differential equations.Ann. Polon. Math. 16 (1965), 169–183. Zbl 0128.33401, MR 0206644 |
| . |
