On the oscillation of solutions of third order linear difference equations of neutral type

Title:

On the oscillation of solutions of third order linear difference equations of neutral type

Creator:

Andruch-Sobiło, Anna and Migda, Małgorzata

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:faba9e70-0205-4cc0-b088-9a0a2abb36ae
uuid:faba9e70-0205-4cc0-b088-9a0a2abb36ae

Subject:

neutral type difference equation, nonoscillatory solution, asymptotic behavior, oscillation, and third order linear difference equations

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this note we consider the third order linear difference equations of neutral type (E) ∆ 3 [x(n) − p(n)x(σ(n))] + δq(n)x(τ (n)) = 0, n ∈ N(n0), where δ = ±1, p, q : N(n0) → ℝ+; σ, τ : N(n0) → ℕ, lim n→∞ σ(n) = lim n→∞ τ (n) = ∞. We examine the following two cases: {0 < p(n) ≤ 1, σ(n) = n + k, τ (n) = n + l}, {p(n) > 1, σ(n) = n − k, τ (n) = n − l}, where k, l are positive integers and we obtain sufficient conditions under which all solutions of the above equations are oscillatory.

Language:

English

Rights:

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

Coverage:

19-33

Source:

Mathematica bohemica | 2005 Volume:130 | Number:1

Harvested from:

CDK

Metadata only:

false