This paper is devoted to a class of linear impulsive partial difference equations with continuous variables. We establish a difference inequality without impulses, and use it to obtain various sufficient conditions for the oscillation of solutions.
The oscillation of partial difference equations with continuous arguments
โ Scribed by Sung Kyu Choi; Nam Jip Koo; Binggen Zhang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 338 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
For the partial difference equations
A(x -a, y) -F A(x, y -b) -A(x, y) + P(x, y)A(x + T, y + a) = 0 and A(x -a, y) + A(x, y -b) -A(x, y) ~-f(x, y, A(x T โข, y + q)) = O,
we shall obtain sufficient conditions for the oscillation of all solutions of these equations. (~) 2001 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
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.
This paper 1s concerned with the dtierence equations of the form y(t) -y(t-7) +p(t)Y(t-(Tl)q(t)y(t -02) = 0
Some Kamenev-type oscillation criteria are established for a class of boundary value problems associated with even-order partial differential equations with distributed deviating arguments. Our approach is to reduce the high-dimensional oscillation problem to a one-dimensional oscillation one, and t