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 mea
Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients
β Scribed by Yong Zhou; B.G. Zhang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 484 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
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) which are some sufficient conditions for the existences of nonoscillatory solutions.
π SIMILAR VOLUMES
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).
In this paper, the existence of nonoscillatory solutions of the first-order neutral delay differential equations with variable coefficients and delays are studied. Some new sufficient conditions are given. In particular, conditions given in this paper are weaker than those known, so the results in t
The aim of this paper is to study the following first-order nonlinear neutral delay differential equation By using the Schauder and Krasnoselskii fixed point theorems, we establish the existence of uncountably many bounded nonoscillatory solutions for the above equation. To dwell upon the importanc