In this paper, a necessary and sufficient condition for oscillation of a first-order delay differential equation with impulses x'(t) + 3-:~ p~x (t -rd = 0, t # t~, i=1 x(t+)-x(tk) =bk~(t~), k = 1,2 ....
โฆ LIBER โฆ
Necessary and sufficient conditions for oscillations of partial difference equations with continuous variables
โ Scribed by B.G. Zhang; B.M. Liu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 254 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
This paper is concerned with the delay partial difference equation
where p is a real number, a and r are nonnegative real numbers. Sufficient and necessary conditions for all continuous solutions of this equation to be oscillatory are obtained. Explicit condition for oscillation in terms of p, a, and r is also given.
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