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

Radhanath Rath and Chittaranjan Behera

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-8

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:4586176

DOI: 10.1155/2018/4586176

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