Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term
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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Sufficient conditions for the oscillation of solutions of the nonlinear second-order difference equation of the form [p(k)ψ(y(k)) y(k)] + q(k)h(y(k))g( y(k − r(k))) y(k) + f (k, y(k), y(k − s1(k)), y(k − s2(k)), . . . , y(k − sn(k))) = 0 are established. We obtain a series of results for oscillatory behaviour. © 2004 Elsevier Ltd. All rights reserved. MSC: 39A10
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This paper is concerned with the oscillation of second-order nonlinear neutral differential equations of the form [ r(t)[(x(t) + p(t)x(σ(t)))′]γ ]′ + f(t, x(τ(t))) = 0, by using a generalized Riccati’s technique and integral averaging technique, we establish new oscillation results which handle some cases not covered by known criteria.
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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: Computers & Mathematics with Applications
سال: 2001
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00113-4