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.
Oscillation of impulsive partial difference equations with continuous variables
โ Scribed by Ravi P. Agarwal; Fatma Karakoc
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 824 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
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