Construction of the General Solution of Planar Linear Discrete Systems with Constant Coefficients and Weak Delay

Autor: Khusainov DYa, Diblík J, Šmarda Z
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Advances in Difference Equations, Vol 2009, Iss 1, p 784935 (2009)
Druh dokumentu: article
ISSN: 1687-1839
1687-1847
28349105
Popis: 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.
Databáze: Directory of Open Access Journals
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