Oscillation results for higher order 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
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In this paper, we shall consider higher order nonlinear neutral delay differential equation of the type [x(t) + p(t)x(τ(t))] + q(t) [x(σ(t))] = 0, t ≥ t0, n ∈ N, (*) where p ∈ C ([t0,∞) ,R) is oscillatory and lim t→∞ p(t) = 0, q ∈ C ( [t0,∞) ,R ) , τ, σ ∈ C ([t0,∞) ,R), τ(t), σ(t) < t, lim t→∞ τ(t) = lim t→∞ σ(t) =∞ and α ∈ (0,∞) is a ratio of odd positive integers. If α ∈ (0, 1), equation (*) ...
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In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation ( r(t) (( y(t)+ p(t)y(t − τ))∆)γ )∆ + f (t, y(t − δ))= 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of the...
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Some sufficient conditions are established for the oscillation of second-order neutral differential equation x t p t x τ t ′′ q t f x σ t 0, t ≥ t0, where 0 ≤ p t ≤ p0 < ∞. The results complement and improve those of Grammatikopoulos et al. Ladas, A. Meimaridou, Oscillation of second-order neutral delay differential equations, Rat. Mat. 1 1985 , Grace and Lalli 1987 , Ruan 1993 , H. J. Li 1996 ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2007
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.05.001