Existence of non-oscillatory solutions to higher-order mixed difference equations
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Date
2007-01-02
Authors
Li, Qiaoluan
Liang, Haiyan
Dong, Wenlei
Zhang, Zhenguo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we consider the higher order neutral nonlinear difference equation
Δm (x(n) + p(n)x(τ(n))) + ƒ1(n, x(σ1(n))) - ƒ2(n, x(σ2(n))) = 0,
Δm (x(n) + p(n)x(τ(n))) + ƒ1(n, x(σ1(n))) - ƒ2(n, x(σ2(n))) = g(n),
Δm (x(n) + p(n)x(τ(n))) + Σli=1 bi(n)x(σi(n)) = 0.
We obtain sufficient conditions for the existence of non-oscillatory solutions.
Description
Keywords
Nonoscillatory, Existence, Neutral equation
Citation
Li, Q., Liang, H., Dong, W., & Zhang, Z. (2007). Existence of non-oscillatory solutions to higher-order mixed difference equations. <i>Electronic Journal of Differential Equations, 2007</i>(09), pp. 1-7.
Rights
Attribution 4.0 International