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Asymptotic behavior of third order delay difference equations with a negative middle term
Journal article   Open access  Peer reviewed

Asymptotic behavior of third order delay difference equations with a negative middle term

S. H. Saker, S. Selvarangam, S. Geetha, E. Thandapani and J. Alzabut
Advances in difference equations, Vol.2021(1), pp.1-12
10/05/2021
DOI: https://doi.org/10.1186/s13662-021-03407-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we establish some sufficient conditions which ensure that the solutions of the third order delay difference equation with a negative middle term Delta(a(n) Delta(Delta w(n))(alpha)) p(n)(Delta w(n+1))(alpha) - q(n)h(w(n-1)) = 0, n >= n(0), are oscillatory. Moreover, we study the asymptotic behavior of the nonoscillatory solutions. Two illustrative examples are included for illustration.
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https://doi.org/10.1186/s13662-021-03407-8View
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