Oscillation of certain difference equations
โ Scribed by S. R. Grace
- Book ID
- 110419857
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 387 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0011-4642
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Some new criteria for the oscillation of third-order difference equations of the form /~3Xn : pnA2Xn+m + qnF (Xn-g, Z~Xn-h) are presented.
## 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 + ร R + x R, R), uhi(x, y, u) > 0 for u ยข 0, hi is nondecreasing i
In this paper we consider the second order nonlinear difference equation ร 4 nondecreasing, and uf u ) 0 as u / 0, q is a real sequence. Some new n ลฝ . sufficient conditions for the oscillation of all solutions of 1 are obtained.