Linearized oscillation theorems for certain nonlinear delay partial difference equations
β Scribed by B.G. Zhang; J.S. Yu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 383 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation Ε½ . n n n q 1 n q 1 n where 0 -s prq with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are
## This paper is concerned with the nonlinear partial difference equation with continuous variables m A(x + a, y) + A(x, y + a) -A(x, y) + E hi(x, y, A(x -ai, y -~-i)) -~ 0, i=l where a, ai, ri are positive numbers, hi(x,y,u) E C(R + Γ R + x R, R), uhi(x, y, u) > 0 for u Β’ 0, hi is nondecreasing i
The behavior of the solutions of nonlinear partial difference equations of fourth order is discussed. We give some sufficient conditions for the oscillation of nontrivial solutions of the given equation by using the weighted techniques.