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Zbl 0914.34065
Diblík, Josef
Behaviour of solutions to linear differential equations with delay. (English)
[J] Arch. Math., Brno 34, No.1, 31-47 (1998). ISSN 0044-8753; ISSN 1212-5059/e

Some asymptotic properties of solutions to scalar equations with bounded delay $$ x'(t)=-c(t)x(t-\tau (t)),\qquad c(t)\geq 0,$$ and $$y'(t)=\beta (t)[y(t)-y(t-\tau (t))],\qquad \beta (t)\geq 0 $$ are established.
[A.Lomtatidze (Brno)]

MSC 2000:: *34K11 Oscillation theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations

Keywords: positive solutions; oscillating solutions; convergent solutions; linear differential equations with delay; topological principle of Wazewski (Rybakowski's approach)

Cited in: Zbl 1064.34044

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