A note on explicit criteria for the existence of positive solutions to the linear advanced equation dot (t) = c(t)x(t + tau).

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU112214" target="_blank" >RIV/00216305:26110/14:PU112214 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0893965913003455" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0893965913003455</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2013.11.010" target="_blank" >10.1016/j.aml.2013.11.010</a>

Result language
angličtina
Original language name
A note on explicit criteria for the existence of positive solutions to the linear advanced equation dot (t) = c(t)x(t + tau).
Original language description
The paper investigates a linear differential equation with advanced argument dot (t) = c(t)x(t + tau), where tau > 0 and the function c: [t_0,infty) to (0,infty), t_0 in R is bounded and locally Lipschitz continuous. New explicit criteria for the existence of a positive solution in terms of c and tau are derived. An overview of known relevant criteria is provided and relevant comparisons are also given.
Czech name
—
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
10101 - Pure mathematics

Project
<a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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