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

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Mathematica Slovaca

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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, 835 215, India

    Seshadev Padhi

  2. Department of Mathematics and Statistics, Mississippi State University, Mississippi state, MS, 39762, USA

    Seshadev Padhi & Chuanxi Qian

Authors
  1. Seshadev Padhi
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  2. Chuanxi Qian
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Additional information

Communicated by Michal Fečkan

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.

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Padhi, S., Qian, C. Oscillation of neutral delay difference equations of second order with positive and negative coefficients. Math. Slovaca 59, 455–470 (2009). https://doi.org/10.2478/s12175-009-0139-y

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  • DOI: https://doi.org/10.2478/s12175-009-0139-y

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