Stability problems for linear differential and difference systems
Archivum Mathematicum (2009)
- Volume: 045, Issue: 3, page 189-202
- ISSN: 0044-8753
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topMorchało, Jarosław. "Stability problems for linear differential and difference systems." Archivum Mathematicum 045.3 (2009): 189-202. <http://eudml.org/doc/250689>.
@article{Morchało2009,
abstract = {In this paper, there are derived sufficient conditions for exponential and asymptotic stability of differential and difference systems.},
author = {Morchało, Jarosław},
journal = {Archivum Mathematicum},
keywords = {differential equations; difference equations; stability solutions; differential equation; difference equation; exponential and asymptotic stability},
language = {eng},
number = {3},
pages = {189-202},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Stability problems for linear differential and difference systems},
url = {http://eudml.org/doc/250689},
volume = {045},
year = {2009},
}
TY - JOUR
AU - Morchało, Jarosław
TI - Stability problems for linear differential and difference systems
JO - Archivum Mathematicum
PY - 2009
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 045
IS - 3
SP - 189
EP - 202
AB - In this paper, there are derived sufficient conditions for exponential and asymptotic stability of differential and difference systems.
LA - eng
KW - differential equations; difference equations; stability solutions; differential equation; difference equation; exponential and asymptotic stability
UR - http://eudml.org/doc/250689
ER -
References
top- Barabashin, E. A., Automatic and Telemechanic, Science 21 (1960), 10. (1960)
- Barabashin, E. A., Introduction to the theory of stability, Noordhoff Publishing, Groningen, 1970, translanted from the Russian by Transcripta Service, London. (1970) MR0264141
- Elaydi, S. N., An Introduction to Difference Equations, Springer - Verlag New York, 1999. (1999) Zbl0930.39001MR1711587
- Halanay, A., Differential Equations, Stability, Oscillations, Time Lags, Academic Press, New York-London, 1966. (1966) Zbl0144.08701MR0216103
- Lakshmikantham, V., Trigiante, D., Theory of Difference Equations: Numerical Methods and Applications, Academic Press, New York, 1998. (1998) MR0939611
- Morchało, J., 10.1016/j.na.2005.02.007, Nonlinear Anal. 63 (2005), 801–811. (2005) Zbl1224.39022DOI10.1016/j.na.2005.02.007
- Polniakowski, Z., Asymptotic properties of solutions of some integral equations and second order differential equations, Ann. Polon. Math. 16 (1965), 169–183. (1965) Zbl0128.33401MR0206644
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