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Oscillatory and Asymptotic Behavior of a First-Order Neutral Equation of Discrete Type with Variable Several Delay under Δ Sign

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  • Radhanath Rath
  • Chittaranjan Behera

Abstract

We obtain necessary and sufficient conditions so that every solution of neutral delay difference equation oscillates or tends to zero as , where and are real sequences and , , and are positive integers. Here is the forward difference operator given by and is an increasing unbounded sequences with . This paper complements, improves, and generalizes some past and recent results.

Suggested Citation

  • Radhanath Rath & Chittaranjan Behera, 2018. "Oscillatory and Asymptotic Behavior of a First-Order Neutral Equation of Discrete Type with Variable Several Delay under Δ Sign," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-8, October.
  • Handle: RePEc:hin:jijmms:4586176
    DOI: 10.1155/2018/4586176
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