𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Oscillation of linear difference equations with deviating arguments

✍ Scribed by R. Koplatadze

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

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Comparison theorems for the oscillation
Comparison theorems for the oscillation of higher order difference equations with deviating arguments
✍ P.J.Y. Wong; R.P. Agarwal πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 708 KB

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.

The oscillation of higher-order differen
The oscillation of higher-order differential equations with deviating arguments
✍ R.P. Agarwal; S.R. Grace πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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.