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DIBLÍK, J.
Originální název
Long-Time Behavior of Positive Solutions of a Differential Equation with State-Dependent Delay
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
Abstract. The long-time behavior of positive solutions of a differential equation with state-dependent delay y'(t) = −c(t)y(t − τ(t, y(t))), where c is a positive coefficient, is considered. Sufficient conditions are given for the existence of positive solutions bounded from below and from above by functions of exponential type. As a consequence, criteria for the existence of positive solutions are derived and their lower bounds are given. Relationships are discussed with the existing results on the existence of positive solutions for delayed differential equations.
Klíčová slova
Long-time behavior; time-dependent delay; exponential estimation of solutions; positive solution; monotone iterative method.
Autoři
Vydáno
1. 1. 2020
Nakladatel
AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
Místo
USA
ISSN
1937-1632
Periodikum
Discrete and Continuous Dynamical Systems - Series S
Ročník
13
Číslo
1
Stát
Spojené státy americké
Strany od
31
Strany do
46
Strany počet
16
URL
http://www.aimsciences.org/article/doi/10.3934/dcdss.2020002
BibTex
@article{BUT165826, author="Josef {Diblík}", title="Long-Time Behavior of Positive Solutions of a Differential Equation with State-Dependent Delay", journal="Discrete and Continuous Dynamical Systems - Series S", year="2020", volume="13", number="1", pages="31--46", doi="10.3934/dcdss.2020002", issn="1937-1632", url="http://www.aimsciences.org/article/doi/10.3934/dcdss.2020002" }