For a class of n-th order nonlinear neutral differential equations, sufficient conditions for all nonoscillatory solutions to satisfy lim tโ+โ t 1-n x(t) = a are established. For another class of equations, necessary and sufficient conditions for nonoscillatory solutions to satisfy the above conditi
Asymptotic behavior of nonoscillatory solutions of nth-order neutral nonlinear equations with oscillating coefficients
โ Scribed by Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 82 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this work, the oscillatory and asymptotic properties of higher order nonlinear neutral difference equations with oscillating coefficients are studied. Some new necessary and sufficient criteria, which improve several known results, are obtained.
In this paper, some sufficient conditions are obtained for the oscillation of all solutions of even-order nonlinear neutral differential equations with variable coefficients. Our results improve and generalize known results. In particular, the results are new even when n = 2.
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