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Oscillations of higher-order linear difference equations

โœ Scribed by Yong Zhou

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
339 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Consider the higher-order linear difference equation n-+1

G-1 + pn:cn = 0,

. (*)

where m 2 1 is an odd integer, and {pn} is a sequence of nonnegative real numbers. We obtain several new sufficient conditions for the oscillation of all solutions of equation (*). Examples which dwell upon the importance of our results are also included.

๐Ÿ“œ SIMILAR VOLUMES

Oscillation of higher-order linear diffe
Oscillation of higher-order linear difference equations
โœ G Grzegorczyk; J Werbowski ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 238 KB

The paper contain some new criteria for the oscillation of higher-order linear difference equations.

Oscillations of higher-order neutral dif
Oscillations of higher-order neutral difference equations
โœ R.P. Agarwal; E. Thandapani; P.J.Y. Wong ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 391 KB

We shall investigate the oscillatory behavior of solutions of ruth-order nonlinear neutral difference equations. Some examples which dwell upon the importance of our results are also included.

Oscillation of second-order linear diffe
Oscillation of second-order linear difference equations
โœ Xiaoping Li; Jianchu Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 272 KB

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.