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Publication detail
KUNDRÁT, P.
Original Title
Asymptotic properties of the discretized pantograph equation
Type
journal article - other
Language
English
Original Abstract
The paper deals with the asymptotic properties of all solutions of the delay difference equation \Delta x_n=-ax_n+bx_\lfloor\frac{\tau(t_n)-t_0}{h}\rfloor, where a>0,b\neq 0 are reals. This equation represents the discretization of the corresponding delay differential equation. Our aim is to show the resemblance in the asymptotic bounds of solutions of the discrete and continuous equation and discuss some numerical problems connected with this investigation.
Key words in English
Differential equation, difference equation
Authors
RIV year
2005
Released
1. 1. 2005
ISBN
0252-1938
Periodical
Studia Universitatis Babes-Bolyai Mathematica
Year of study
L
Number
1
State
Romania
Pages from
77
Pages to
84
Pages count
8
BibTex
@article{BUT42431, author="Petr {Tomášek}", title="Asymptotic properties of the discretized pantograph equation", journal="Studia Universitatis Babes-Bolyai Mathematica", year="2005", volume="L", number="1", pages="8", issn="0252-1938" }