On the asymptotic behavior of a class of third order nonlinear neutral differential equations

Blanka Baculíková ; Jozef Džurina

Open Mathematics, Tome 8 (2010), p. 1091-1103 / Harvested from The Polish Digital Mathematics Library

Résumé

The objective of this paper is to study asymptotic properties of the third-order neutral differential equation atxt+ptxσt''γ'+qtfxτt=0,t⩾t0.E . We will establish two kinds of sufficient conditions which ensure that either all nonoscillatory solutions of (E) converge to zero or all solutions of (E) are oscillatory. Some examples are considered to illustrate the main results.

Détail

Publié le : 2010-01-01

Zbl 1221.34173

EUDML-ID : urn:eudml:doc:269611

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