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Zbl 0968.34057
Diblík, J.; Koksch, N.
Positive solutions of the equation $\dot x(t)=-c(t)x(t-\tau)$ in the critical case.
(English)
[J] J. Math. Anal. Appl. 250, No.2, 635-659 (2000). ISSN 0022-247X

It is considered the asymptotic behaviour of the solutions to the equation $$\dot x(t)= -c(t)x(t-\tau),\quad c(t)> 0,$$ in the nonoscillatory case. There are obtained two-sided (from below and from above) sharp estimates for the pair of subdominant and dominant solutions to the equation.
MSC 2000:
*34K12 Properties of solutions of functional-differential equations
34K11 Oscillation theory of functional-differential equations

Keywords: linear time delay equation; nonoscillation; dominant and subdominant solution

Cited in: Zbl 1064.34044

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