Oscillation of neutral delay difference equations of second order with positive and negative coefficients期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Oscillation of neutral delay difference equations of second order with positive and negative coefficients

Authors:

Institution:

(1) Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, 835 215, India;(2) Department of Mathematics and Statistics, Mississippi State University, Mississippi state, MS 39762, USA

Abstract:

This paper is concerned with a class of neutral difference equations of second order with positive and negative coefficients of the forms

$\Delta ^2 (x_n \pm c_n x_{n - \tau } ) + p_n x_{n - \delta } - q_n x_{n - \sigma } = 0$

where τ, δ and σ are nonnegative integers and {p _n}, {q _n} and {c _n} are nonnegative real sequences. Sufficient conditions for oscillation of the equations are obtained. Research of the first author was supported by Department of Science and Technology, New Delhi, Govt. of India, under BOYSCAST Programme vide Sanc. No. 100/IFD/5071/2004-2005 Dated 04.01.2005.

Keywords:

oscillatory solution nonoscillatory solution

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