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Oscillation of higher order neutral type nonlinear difference equations with forcing terms

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  • Bolat, Yaşar

Abstract

In this manuscript, we study oscillatory behaviour of the following forced nonlinear difference equation:Δm(yn+pnyn-σ)+qnf(yn-τ)=rn.Unlike to the most of the existing results in the literature, we give some new criteria which do not depend on the usual restrictions on the terms pn, qn and rn. We consider the cases where pn is eventually of fixed sign and oscillatory, and qn is of eventually fixed sign and oscillatory. We also give various numerical simulations by using the MATLAB programming to support the results.

Suggested Citation

  • Bolat, Yaşar, 2009. "Oscillation of higher order neutral type nonlinear difference equations with forcing terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2973-2980.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2973-2980
    DOI: 10.1016/j.chaos.2009.04.006
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    References listed on IDEAS

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    1. Zhou, Jin & Chen, Tianping & Xiang, Lan, 2006. "Robust synchronization of delayed neural networks based on adaptive control and parameters identification," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 905-913.
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    5. Li, Hong & Li, Hou-biao & Zhong, Shou-ming, 2007. "Stability of neutral type descriptor system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1796-1800.
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