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Oscillation of second-order linear difference equations

โœ Scribed by Xiaoping Li; Jianchu Jiang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
272 KB
Volume
35
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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ln this paper, we shall establish relations between the oscillation of second-order nonlinear difference equations with damped term and the oscillation of their linear limiting equations.

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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