Global stability for nonlinear difference equations with variable coefficients
โ Scribed by Yoshiaki Muroya; Emiko Ishiwata; Nicola Guglielmi
- Book ID
- 108175804
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 186 KB
- Volume
- 334
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
consider the first-order neutral nonlinear difference equation of the form A (in -pnyn-r) + qn ijI IY,-0, Ia' sgn Y~-~, = 0, R = 0, 1, where T > 0, t~i 2 0 (i = 1,2,. . ,m) are integers, {p,} and {qn} are nonnegative sequences. We obtain new criteria for the oscillation of the above equation withou
In this paper, we give sufficient conditions under which every solution of the nonlinear difference equation with variable delay tends to zero as n --+ c<). Here, {Pn} is a nonnegative sequence, f : R --+ R is a continuous function with xf(x) > 0 if x ~ 0, and g : N --~ Z is nondecreasing and satis