Oscillatory and asymptotic properties of higher order nonlinear neutral difference equations with oscillating coefficients
โ Scribed by Xiaoliang Zhou
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 227 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
This paper is concerned with the oscillation of solutions of neutral difference equation and the asymptotic behavior of solutions of delay difference equation t E I, where I is the discrete set (0, 1,2,. . . } and A is the forward difference operator Ar(t) = z(t+l) --2(t).
We obtain suffiaient conditions for the oscillation of all solutions of the higher order neutral differential equation -[?At) + P(t) YO -.)I + a t ) Y(t -0 ) = 0, t h to where Our results extend and improve several known results in the literature.