Existence of strictly decreasing positive solutions of linear differential equations of neutral type

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F19%3APU133282" target="_blank" >RIV/00216305:26620/19:PU133282 - isvavai.cz</a>
Result on the web
<a href="https://aip.scitation.org/doi/abs/10.1063/1.5114312" target="_blank" >https://aip.scitation.org/doi/abs/10.1063/1.5114312</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5114312" target="_blank" >10.1063/1.5114312</a>

Result language
angličtina
Original language name
Existence of strictly decreasing positive solutions of linear differential equations of neutral type
Original language description
The paper is concerned with a system of linear neutral differential equations y'(t) = -C(t)y(t - τ (t)) + D(t)y'(t - δ (t)) where C and D are 2 x 2 matrices with positive entries and τ, δ are continuous delays. A criterion is derived for the existence of positive strictly decreasing components of solutions for t → ∞. The proof applies a variant of the topological Wazewski principle, as developed by Rybakowski, suitable for differential equations of the delayed type. The criterion derived generalizes a similar criterion for scalar linear neutral differential equations. Solutions of the problem are taken to be continuously differentiable deﬁned by initial functions satisfying the sewing condition.
Czech name
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Czech description
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Project
<a href="/en/project/GA16-08549S" target="_blank" >GA16-08549S: Dynamical Systems Identification on Time Scales</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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