Opuscula Math. 26, no. 3 (2006), 507-514
Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
Małgorzata Migda
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.
About the authors ▼
Małgorzata Migda
Poznań University of Technology, Institute of Mathematics, Piotrowo 3A, 60-965 Poznań, Poland
About the article ▼
Received: 2005-08-31.
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,
http://dx.doi.org/10.7494/OpMath.2006.26.3.507.
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