On the asymptotically periodic solution of some linear difference equations
Archivum Mathematicum (1999)
- Volume: 035, Issue: 1, page 13-19
- ISSN: 0044-8753
Access Full Article
top
Abstract
topHow to cite
topPopenda, Jerzy, and Schmeidel, Ewa. "On the asymptotically periodic solution of some linear difference equations." Archivum Mathematicum 035.1 (1999): 13-19. <http://eudml.org/doc/248367>.
@article{Popenda1999,
abstract = {For the linear difference equation \[ x\_\{n+1\} -a\_n x\_n = \sum \_\{i=0\}^r a\_n^\{(i)\}x\_\{n+i\}, \;\;\; n \in N \]
sufficient conditions for the existence of an asymptotically periodic solutions are given.},
author = {Popenda, Jerzy, Schmeidel, Ewa},
journal = {Archivum Mathematicum},
keywords = {difference equation; asymptotic behaviour; linear difference equation; asymptotic behaviour; periodic solution},
language = {eng},
number = {1},
pages = {13-19},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the asymptotically periodic solution of some linear difference equations},
url = {http://eudml.org/doc/248367},
volume = {035},
year = {1999},
}
TY - JOUR
AU - Popenda, Jerzy
AU - Schmeidel, Ewa
TI - On the asymptotically periodic solution of some linear difference equations
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 1
SP - 13
EP - 19
AB - For the linear difference equation \[ x_{n+1} -a_n x_n = \sum _{i=0}^r a_n^{(i)}x_{n+i}, \;\;\; n \in N \]
sufficient conditions for the existence of an asymptotically periodic solutions are given.
LA - eng
KW - difference equation; asymptotic behaviour; linear difference equation; asymptotic behaviour; periodic solution
UR - http://eudml.org/doc/248367
ER -
References
top- Agarwal R. P., Popenda J., Periodic Solutions of First Order Linear Difference Equations, Math. Comput. Modelling 22, 1, 1995, 11-19. (1995) Zbl0871.39002MR1343651
- Musielak R., Popenda J., The Periodic Solutions of the Second Order Nonlinear Difference Equation, Publ. Mat. 32, 1988, 49-56. (1988) Zbl0649.39005MR0939768
- Popenda J., Schmeidel E., On the Asymptotic Behavior of Solutions of Linear Difference Equations, Publ. Mat. 38, 1994, 3-9. (1994) Zbl0842.39003MR1291948
- Popenda J., Schmeidel E., On the Asymptotic Behaviour of Solution of Some Difference Equations of Infinite Order, (submitted).
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.