On oscillation of solutions of forced nonlinear neutral differential equations of higher order

Title:

On oscillation of solutions of forced nonlinear neutral differential equations of higher order

Creator:

Parhi, N. and Rath, Radhanath N.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4ae4a8b5-287c-423a-9748-2e2655c8dde6
uuid:4ae4a8b5-287c-423a-9748-2e2655c8dde6

Subject:

oscillation, nonoscillation, neutral equations, and asymptotic behaviour

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, necessary and sufficient conditions are obtained for every bounded solution of \[ [y (t) - p (t) y (t - \tau )]^{(n)} + Q (t) G \bigl (y (t - \sigma )\bigr ) = f (t), \quad t \ge 0, \qquad \mathrm{(*)}\] to oscillate or tend to zero as $t \rightarrow \infty $ for different ranges of $p (t)$. It is shown, under some stronger conditions, that every solution of $(*)$ oscillates or tends to zero as $t \rightarrow \infty $. Our results hold for linear, a class of superlinear and other nonlinear equations and answer a conjecture by Ladas and Sficas, Austral. Math. Soc. Ser. B 27 (1986), 502–511, and generalize some known results.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

805-825

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:4

Harvested from:

CDK

Metadata only:

false