Stability of semi-autonomous difference equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 25-34
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For a linear difference equation with constant coefficients and several bounded variable delays we obtain criteria for the uniform and uniformly exponential stability expressed in terms of parameters of the initial problem. We adduce examples that prove the exactness of the boundaries of the obtained stability domain.
Keywords:
difference equations, stability, efficient criteria.
@article{IVM_2011_5_a3,
author = {A. Yu. Kulikov and V. V. Malygina},
title = {Stability of semi-autonomous difference equations},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {25--34},
publisher = {mathdoc},
number = {5},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2011_5_a3/}
}
A. Yu. Kulikov; V. V. Malygina. Stability of semi-autonomous difference equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 25-34. http://geodesic.mathdoc.fr/item/IVM_2011_5_a3/