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Oscillation Criteria for Difference Equations with Several Retarded Arguments

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We consider a difference equation

$$ \varDelta u(k)+\sum \limits_{i-1}^m{p}_i(k)\;u\left({\tau}_i(k)\right)=0, $$

where m ϵ N, the functions, pi : N → R+ and τi : N → N,  limk →  + ∞τi(k) =  +  ∞ ,  τi(k) ≤  k − 1,  i = 1, …, m, are defined on the set of natural numbers, and Δu(k) = u(k + 1) − u(k) is the difference operator. New oscillation criteria are established for all solutions of the equation.

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Authors and Affiliations

  1. Javakhishvili Tbilisi State University, University Str., 2, 0186, Tbilisi, Georgia

    R. Koplatadze & N. Khachidze

Authors
  1. R. Koplatadze
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  2. N. Khachidze
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Correspondence to R. Koplatadze.

Additional information

Published in Neliniini Kolyvannya, Vol. 21, No. 4, pp. 514–522, October–December, 2018.

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Koplatadze, R., Khachidze, N. Oscillation Criteria for Difference Equations with Several Retarded Arguments. J Math Sci 246, 384–393 (2020). https://doi.org/10.1007/s10958-020-04746-9

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  • DOI: https://doi.org/10.1007/s10958-020-04746-9

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