Oscillatory behaviour of solutions of nonlinear higher order neutral differential equations

Title:

Oscillatory behaviour of solutions of nonlinear higher order neutral differential equations

Creator:

Parhi, N. and Rath, R. N.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c8386806-c283-408e-881f-6faff6b3c7fa
uuid:c8386806-c283-408e-881f-6faff6b3c7fa
doi:10.21136/MB.2004.134104

Subject:

oscillation, nonoscillation, and neutral differential equations

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Necessary and sufficient conditions are obtained for oscillation of all bounded solutions of (∗) [y(t) − y(t − τ )](n) + Q(t)G(y(t − σ)) = 0, t ≥ 0, where n ≥ 3 is odd. Sufficient conditions are obtained for all solutions of (∗) to oscillate. Further, sufficient conditions are given for all solutions of the forced equation associated with (∗) to oscillate or tend to zero as t → ∞. In this case, there is no restriction on n.

Language:

English

Rights:

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

Coverage:

11-27

Source:

Mathematica bohemica | 2004 Volume:129 | Number:1

Harvested from:

CDK

Metadata only:

false