Opuscula Mathematica

Opuscula Math.
 26
, no. 3
 (), 507-514
Opuscula Mathematica

Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations


Abstract. In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form \[\Delta^m(x_n+p_nx_{n-\tau})+f(n,x_{\sigma (n)})=h_n.\] We present conditions under which all nonoscillatory solutions of the above equation have the property \(x_n = cn^{m-1}+o(n^{m-1})\) for some \(c\in R\).
Keywords: neutral difference equation, asymptotic behavior, nonoscillatory solution.
Mathematics Subject Classification: 39A10.
Cite this article as:
Małgorzata Migda, Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations, Opuscula Math. 26, no. 3 (2006), 507-514
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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