Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
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}...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2006-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol26/3/art/opuscula_math_2639.pdf |