Oscillation results via comparison theorems for fourth-order delay three-terms difference equations

Autor: Małgorzata Migda, Ewa Schmeidel, Małgorzata Zdanowicz, Janusz Migda
Rok vydání: 2022
Předmět:
Zdroj: Periodica Mathematica Hungarica. 86:395-412
ISSN: 1588-2829
0031-5303
DOI: 10.1007/s10998-022-00479-1
Popis: In this paper we establish sufficient conditions for the oscillation of all solutions of equation $$\begin{aligned} \varDelta ^4x(n)+p(n)\varDelta x(n+1)+q(n)x(n-\tau )=0 \end{aligned}$$ Δ 4 x ( n ) + p ( n ) Δ x ( n + 1 ) + q ( n ) x ( n - τ ) = 0 via comparison with some first order delay difference equations whose oscillatory characters are known. The presented criterion is easily verifiable. Examples are also given to illustrate the main result.
Databáze: OpenAIRE
Externí odkaz: