In this paper, some new oscillation criteria are obtained for the first-order delay difference equation k k Xn+I-x,~+ (k+l)k+l xn\_kรทf(n,x,~\_l~,...,xn\_t~) =0, n=0,1,2,..., where k,/1,/2,..., ls are positive integer numbers, f is a function. Our results improve the known results in the literature.
Oscillation criteria of first order linear difference equations with delay argument
โ Scribed by G.E. Chatzarakis; R. Koplatadze; I.P. Stavroulakis
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 230 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
consider the delay difference equation G&+1 -%I + Pnr,(,) = 0, 72 = 0, 1,2, . , where T : N + Z is nondecreasing, 7(n) < n for ra E N and iimn--roo 7(n) = co, {p,} is a nonnegative sequence. Some oscillation criteria for this equation are obtained.
The oscillatory and non-oscillatory behavior of solutions of the second-order quasi-linear neutral delay differential equation Our results generalize and improve some known results of neutral delay differential equations.
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