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DIBLÍK, J.
Original Title
Long-time behaviour of solutions of delayed-type linear differential equations
Type
journal article in Web of Science
Language
English
Original Abstract
This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differential functional equations with bounded delays when t\to\infty. The main results concern the existence of two significant positive and asymptotically different solutions. These solutions make it possible to describe the family of all solutions by means of an asymptotic formula. The investigation basis is formed by an auxiliary linear differential functional equation of retarded type. A commented survey of the previous results is given with illustrative examples.
Keywords
linear differential functional equation of retarded-type; asymptotic behaviour of solutions; asymptotic convergence; asymptotic divergence
Authors
Released
26. 6. 2018
Publisher
Bolyai Institute, University of Szeged, Hungary
Location
Szeged
ISBN
1417-3875
Periodical
Electronic Journal of Qualitative Theory of Differential Equations
Year of study
2018
Number
47
State
Hungary
Pages from
1
Pages to
23
Pages count
URL
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6463
BibTex
@article{BUT149457, author="Josef {Diblík}", title="Long-time behaviour of solutions of delayed-type linear differential equations", journal="Electronic Journal of Qualitative Theory of Differential Equations", year="2018", volume="2018", number="47", pages="1--23", doi="10.14232/ejqtde.2018.1.47", issn="1417-3875", url="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6463" }