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Monotonic properties of Kneser solutions of second order linear differential equations with delayed argument

Baculíková Blanka

Opuscula Mathematica

2025

Vol. 45, no. 1

27--38

In this paper new monotonic properties of nonoscillatory solutions for second order linear functional differential equations with delayed argument y′′(t) = p(t)y(τ (t)) have been established. New properties are used to introduce criteria for elimination of bounded nonoscillatory solutions for studied equations.

A note on unstable neutral differential equations of the second order

Dzurina J., Mihalikova B.

Fasciculi Mathematici

1999

Nr 29

17-22

The airn of this paper is to irnprove an existing sufficient conditions for all bounded solutions of the second order neutral differential equation [...] to be oscillatory .