Detail publikace

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

DIBLÍK, J. SVOBODA, Z.

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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 × 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.

Klíčová slova

Neutral equation; delay; positive components; topological principle.

Autoři

DIBLÍK, J.; SVOBODA, Z.

Vydáno

24. 7. 2019

Nakladatel

AIP

ISBN

9780735418547

Kniha

AIP Conference Proceedings 2116

ISSN

0094-243X

Periodikum

AIP conference proceedings

Ročník

2116

Číslo

1

Stát

Spojené státy americké

Strany od

310005-1

Strany do

310005-4

Strany počet

4

URL