Oscillatory Properties of Second Order Half-Linear Difference Equations
β Scribed by Pavel Rehak
- Book ID
- 110324178
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 183 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0011-4642
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π SIMILAR VOLUMES
Nonoscillation criteria for the half-linear second-order difference equation ZX(rkΒ’,(~Xxk))+ck~(Xk+l) =0, ~,(x) := IxlP-2x, p> 1, are established. These criteria are derived using the Riccati and variational technique.
The authors consider second-order difference equations of the type A ((~~~)") + w&,, = 0, (E) where cz 10 is the ratio of odd positive integers, {qn} is a positive sequence, and {u(n)} is a positive increasing sequence of integers with o(n) -+ co as n + cc. They give some oscillation and comparison
In this paper, we obtain new sufficient conditions for the oscillation of all solutions of the second-order linear difference equation where Axn = xt,+1 --xn is the forward difference operator, {Ph} is a sequence of nonnegative real numbers. Our results improve the know results in the literature.