Existence of nonoscillatory solutions for higher order neutral dynamic equations on time scales
β Scribed by Zhenguo Zhang; Wenlei Dong; Qiaoluan Li; Haiyan Liang
- Book ID
- 107619719
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 302 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1598-5865
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π SIMILAR VOLUMES
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
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
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, some existence theorems of nonoscillatory solutions for nth order nonlinear neutral functional differential equations are obtained. Our results extend some known results in recent years.