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KUNDRÁT, P.
Original Title
The asymptotic properties of solutions of linear delay differential equations
Type
journal article - other
Language
English
Original Abstract
The paper deals with the asymptotic behaviour of solutions of the delay differential equation x'(t)=a(t)x(t)+b(t)x(q(t))+f(t), t in [t0, infinity), where a is a positive function ond the ratio |b|/a can be estimated by means of a continuous and nonincreasing function. Some known asymptotic formulae concerning this equation are improved and extended to a more general case.
Keywords
delay differential equation, functional equation, asymptotic behaviour
Authors
RIV year
2006
Released
15. 8. 2006
Publisher
Mathematical Institute of the Slovak Academy of Sciences
Location
Bratislava
ISBN
0139-9918
Periodical
Mathematica Slovaca
Year of study
56
Number
3
State
Slovak Republic
Pages from
349
Pages to
360
Pages count
12
BibTex
@article{BUT43300, author="Petr {Tomášek}", title="The asymptotic properties of solutions of linear delay differential equations", journal="Mathematica Slovaca", year="2006", volume="56", number="3", pages="349--360", issn="0139-9918" }