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Comparison theorems for the oscillation of higher order difference equations with deviating arguments

โœ Scribed by P.J.Y. Wong; R.P. Agarwal

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
708 KB
Volume
24
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

The

where p(k) is positive, is classified into four cases sxcording to QI is odd or even and 6 is 1 or -1. In each case, we shall offer comparison theorems for the oscillation of the difference equation. Examples are also included to illustrate the importance of the results obtained.

๐Ÿ“œ SIMILAR VOLUMES

The oscillation of higher-order differen
The oscillation of higher-order differential equations with deviating arguments
โœ R.P. Agarwal; S.R. Grace ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 713 KB

In this paper, some new criteria for the oscillation of higher-order functional differential equations of the form Lnx(t) + F (t, x(g(t))) = O, n is even are established. Some of our results are obtained via comparing it with second-order ordinary linear and first-order delay differential equations.

Oscillation of linear difference equatio
Oscillation of linear difference equations with deviating arguments
โœ R. Koplatadze ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 340 KB

The tollowing difference equation with deviating arguments: ) is a sequence of nonnegative numbers, ~rj : N ---+ N and limk--++oo crj(k) = +oc (j = 1,..., m). In the paper, sufficient conditions are established for all proper solutions of the above equation to be oscillatory.