Oscillation of a higher order neutral differential equation with a sub-linear delay term and positive and negative coefficients

Title:

Oscillation of a higher order neutral differential equation with a sub-linear delay term and positive and negative coefficients

Creator:

Dix, Julio G., Ghose, Dillip Kumar, and Rath, Radhanath

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:023f0889-f3a0-4d87-a987-0f578334d000
uuid:023f0889-f3a0-4d87-a987-0f578334d000
doi:10.21136/MB.2009.140673

Subject:

oscillatory solution, neutral differential equation, and asymptotic behaviour

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We obtain sufficient conditions for every solution of the differential equation [y(t) − p(t)y(r(t))](n) + v(t)G(y(g(t))) − u(t)H(y(h(t))) = f(t) to oscillate or to tend to zero as t approaches infinity. In particular, we extend the results of Karpuz, Rath and Padhy (2008) to the case when G has sub-linear growth at infinity. Our results also apply to the neutral equation [y(t) − p(t)y(r(t))](n) + q(t)G(y(g(t))) = f(t) when q(t) has sign changes. Both bounded and unbounded solutions are consideted here; thus some known results are expanded.

Language:

English

Rights:

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

Coverage:

411-425

Source:

Mathematica bohemica | 2009 Volume:134 | Number:4

Harvested from:

CDK

Metadata only:

false