Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F21%3APU142120" target="_blank" >RIV/00216305:26110/21:PU142120 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.sciencedirect.com/science/article/pii/S0893965921001221" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965921001221</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2021.107236" target="_blank" >10.1016/j.aml.2021.107236</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions
Popis výsledku v původním jazyce
The representation and behavior is investigated of the solutions to an equation with a single constant delay dot ˙x(t) = −c(t)x(t − τ), t ≥ t_0 ≥ 0 with c a positive function provided that it has a positive solution. A scheme is suggested for determining the representation of solutions defi ned by arbitrary initial function if dominant and subdominant solutions are known. Applications are given to equations with constant and perturbed coefficients with open problems included for future investigation.
Název v anglickém jazyce
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions
Popis výsledku anglicky
The representation and behavior is investigated of the solutions to an equation with a single constant delay dot ˙x(t) = −c(t)x(t − τ), t ≥ t_0 ≥ 0 with c a positive function provided that it has a positive solution. A scheme is suggested for determining the representation of solutions defi ned by arbitrary initial function if dominant and subdominant solutions are known. Applications are given to equations with constant and perturbed coefficients with open problems included for future investigation.

Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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