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Existence of nonoscillatory solutions of higher-order neutral difference equations with general coefficients

✍ Scribed by Yong Zhou

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
417 KB
Volume
15
Category
Article
ISSN
0893-9659

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✦ Synopsis

this paper, we consider the following higher-order neutral difference equation:

A"' (I,, + a,,-&) + pnzn--r = 0, n 2 no, where c E R, m 1 1 is an odd integer, k 2 1, T > 0 are integers, {p,}F& is a sequence of real numbers. We obtain the global result (with respect to c) for general {p,}, which means that we allow oscillatory {p,}.

The main result is a sufficient condition for the existence of nonoscillatory solutions.

πŸ“œ SIMILAR VOLUMES

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✍ Yong Zhou; B.G. Zhang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 484 KB

In this paper, we consider the following higher-order neutral delay difference equations with positive and negative coefficients: where c E W, m 2 1, k 2 1, r,Z 2 0 are integers, and {pn}~zn=n, and {qn}r&, are sequences of nonnegative real numbers. We obtain the global results (with respect to c) w

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In this paper, we consider the following higher-order neutral functional differential equations with positive and negative coefficients: -& [z(t) + cx (t -T)l + (-1) \*+l [P(t)?2 (t -CT) -Q(t)2 (t -a)] = 0, t 2 to, where n > 1 is an integer, c E R, ~,o,6 E W+, and P,Q E C([to,m),W+), IR+ = [O ,oo).