Publication detail
Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay
DIBLÍK, J. KHUSAINOV, D. ŠMARDA, Z.
Original Title
Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay
Type
journal article - other
Language
English
Original Abstract
Planar linear discrete systems with constant coefficients and weak delay are considered. The characteristic equations of such systems are identical with those for the same systems but without delayed terms. In this case, the space of solutions with a given starting dimension is pasted after several steps into a space with dimension less than the starting one. In a sense this situation copies an analogous one known from the theory of linear differential systems with constant coefficients and weak delay when the initially infinite dimensional space of solutions on the initial interval on a reduced interval, turns, after several steps, into a finite dimensional set of solutions. For every possible case, general solutions are constructed and, finally, results on the dimensionality of the space of solutions are deduced.
Keywords
planar linear discrete system
Authors
DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z.
RIV year
2009
Released
27. 11. 2009
ISBN
1687-1839
Periodical
Advances in Difference Equations
Year of study
2009
Number
3
State
United States of America
Pages from
1
Pages to
18
Pages count
18
BibTex
@article{BUT48938,
author="Josef {Diblík} and Denys {Khusainov} and Zdeněk {Šmarda}",
title="Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay",
journal="Advances in Difference Equations",
year="2009",
volume="2009",
number="3",
pages="1--18",
issn="1687-1839"
}