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DIBLÍK, J. HALFAROVÁ, H.
Original Title
General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
Type
journal article in Web of Science
Language
English
Original Abstract
Planar linear discrete systems with constant coefficients and delays are considered. It is assumed that the considered system is weakly delayed. The characteristic equations of such systems are identical with those for the same systems but without delayed terms. In this case, after several steps, the space of solutions with a given starting dimension is pasted into a space with a dimension less than the starting one. In a sense, this situation is analogous to one known in the theory of linear differential systems with constant coefficients and special delays when the initially infinite dimensional space of solutions on the initial interval turns (after several steps) into a finite dimensional set of solutions. For every possible case, explicit general solutions are constructed and, finally, results on the dimensionality of the space of solutions are obtained.
Keywords
Discrete equation, weakly delayd systems, explicit solution, dimension of the solutions space.
Authors
DIBLÍK, J.; HALFAROVÁ, H.
RIV year
2014
Released
29. 4. 2014
Publisher
Hindawi
ISBN
1085-3375
Periodical
Abstract and Applied Analysis
Year of study
2013
Number
1
State
United States of America
Pages from
Pages to
37
Pages count
URL
https://www.hindawi.com/journals/aaa/2014/627295/
Full text in the Digital Library
http://hdl.handle.net/11012/193103
BibTex
@article{BUT107603, author="Josef {Diblík} and Hana {Boháčková}", title="General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions", journal="Abstract and Applied Analysis", year="2014", volume="2013", number="1", pages="1--37", doi="10.1155/2014/627295", issn="1085-3375", url="https://www.hindawi.com/journals/aaa/2014/627295/" }