Oscillation and nonoscillation of nonlinear neutral delay difference equations
نویسندگان
چکیده
منابع مشابه
Oscillation of second order nonlinear neutral delay difference equations
In this paper sufficient conditions are obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form ∆(y(n) + p(n)y(n−m)) + q(n)G(y(n − k)) = 0 under various ranges of p(n). The nonlinear function G,G ∈ C(R,R) is either sublinear or superlinear. Mathematics Subject classification (2000): 39 A 10, 39 A 12
متن کاملOscillation and Nonoscillation of Even - Order Nonlinear Delay - Differential Equations
for their oscillatory and nonoscillatory nature. In Eqs. (1) and (2) y("(x) = (d%/dx')y{x), i = 1, 2, • • • , 2n; yr(x) = y(x — t(x))] dy/dx and d2y/dx2 will also be denoted by y' and y" respectively. Throughout this paper it will be assumed that p(x), j(x), t{x) are continuous real-valued functions on the real line (—°°, °°); j(x), p(x) and t(x), in addition, are nonnegative, r(x) is bounded a...
متن کاملOscillation of Nonlinear Delay Difference Equations
We obtain some oscillation criteria for solutions of the nonlinear delay difference equation of the form xn+1−xn+pn ∏m j=1x αj n−kj = 0. 2000 Mathematics Subject Classification. 39A10.
متن کاملOscillation and Convengence Properties of Second Order Nonlinear Neutral Delay Difference Equations
where is the forward difference operator defined by is a sequence of nonnegative real numbers, is a sequence of nonnegative real numbers and is not identically zero for large values of n, is a sequence of positive real numbers and are nonnegative integers, is the ratio of two odd integers and is a continuous real valued function. Throughout the paper the following conditions are assumed to be h...
متن کاملOscillation of Nonlinear Neutral Delay Differential Equations of Second Order
Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2007
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.38.2007.66