Stability problems for linear differential and difference systems

Jarosław Morchało

Archivum Mathematicum (2009)

  • Volume: 045, Issue: 3, page 189-202
  • ISSN: 0044-8753

Abstract

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In this paper, there are derived sufficient conditions for exponential and asymptotic stability of differential and difference systems.

How to cite

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Morchało, 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

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  1. Barabashin, E. A., Automatic and Telemechanic, Science 21 (1960), 10. (1960) 
  2. Barabashin, E. A., Introduction to the theory of stability, Noordhoff Publishing, Groningen, 1970, translanted from the Russian by Transcripta Service, London. (1970) MR0264141
  3. Elaydi, S. N., An Introduction to Difference Equations, Springer - Verlag New York, 1999. (1999) Zbl0930.39001MR1711587
  4. Halanay, A., Differential Equations, Stability, Oscillations, Time Lags, Academic Press, New York-London, 1966. (1966) Zbl0144.08701MR0216103
  5. Lakshmikantham, V., Trigiante, D., Theory of Difference Equations: Numerical Methods and Applications, Academic Press, New York, 1998. (1998) MR0939611
  6. Morchało, J., 10.1016/j.na.2005.02.007, Nonlinear Anal. 63 (2005), 801–811. (2005) Zbl1224.39022DOI10.1016/j.na.2005.02.007
  7. 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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