Long-Time Behavior of Positive Solutions of a Differential Equation with State-Dependent Delay

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F20%3APU137656" target="_blank" >RIV/00216305:26620/20:PU137656 - isvavai.cz</a>
Result on the web
<a href="http://www.aimsciences.org/article/doi/10.3934/dcdss.2020002" target="_blank" >http://www.aimsciences.org/article/doi/10.3934/dcdss.2020002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2020002" target="_blank" >10.3934/dcdss.2020002</a>

Result language
angličtina
Original language name
Long-Time Behavior of Positive Solutions of a Differential Equation with State-Dependent Delay
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LQ1601" target="_blank" >LQ1601: CEITEC 2020</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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