Conditions for Oscillation of Difference Equations with Applications to Equations with Piecewise Constant Arguments
✍ Scribed by Györi, I.; Ladas, G.; Pakula, L.
- Book ID
- 118202304
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1991
- Tongue
- English
- Weight
- 506 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0522046
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📜 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.
we introduce a new technique to obtain some new oscillation criteria for the oscillating coefficients delay differential equation with piecewise constant argument of the form r'(t) + a(t)%(t) + b(t)r([t -lc]) = 0, where a(t) and b(t) are right continuous functions on [-k, oo), k is a positive integ
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 •, y + q)) = O, we shall obtain sufficient conditions for the oscillation of all solutions of these equations. (~) 2001 Elsevier Science Ltd.