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We present some new oscillation criteria for second order neutral delay differential equations with distributed deviating argument using the Riccati technique and some inequalities. The results obtained improve and extend some known results. 相似文献
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1 IntroductionIn recent yearss those who were interested in studying the neutral differenceequation were growing more and more. The oscillation and nonoscillation ofsolutions of neutral difference equation have been extensively investigated (see[l][2][3]).Our aim in this paper is to obtain some sufficient conditions for the oscillation of all solutions of neutral difference equationA(x(n) -- p(n)x(n -- m)) Q(n)x(n -- k) = 0, n 2 no, (1)wherep(n), Q(n) 6 C({no, no 1,' .}, R ), m > 0, and… 相似文献
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Some new oscillation criteria are given for a second order nonlinear difference equation with continuous variable. Our results generalize and improve the recent criteria of Zhang Z.G., Bi P. and Chen J.F.. 相似文献
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Sun Shurong Han Zhenlai 《Annals of Differential Equations》2005,21(2):198-202
In this paper, we establish some new oscillation criteria for second order difference equations of neutral type with mixed arguments. We extend some known oscillation criteria for second order difference equations. 相似文献
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By introducing two integral operators and using the integral averaging technique, some new oscillation criteria are obtained for a class of high order neutral differential equation with continuous deviating arguments. These results are different from most known ones in the sense that they depend on the information only on a sequence of subintervals of [t0,∞), rather than on the whole half-line. 相似文献
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The aim of this paper is to study the oscillation of second order neutral difference equations.Our results are based on the new comparison theorems,that reduce the problem of the oscillation of the second order equation to that of the first order equation.The comparison principles obtained essentially simplify the examination of the equations. 相似文献
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An oscillation criterion is obtained for even order neutral type differenceequations of the following formΔ~m(x_n+α_nx_(n-т))+f(n,x_n,x_(n-σ))=0,n=n_0,n_0+1,…,where m≥2 is even, n_0 is a nonnegative integer, Δ is the forward differenceoperator defined by Δx_n=x_(n+1)-x_n, and for i≥1, Δ~i is the i~(th)-order forwarddifference operator defined by Δ~ix_n=Δ(Δ~(i-1)x_n),т and σ are positive integers. 相似文献
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1IntroductionLetR=(--co,co),R =[0,co)andN={l,2,'.},considerthesecondordernonlillearneutraldifferenceequationThesubjectissupportedbyHeilongjiangProvinceNaturalScienceF(,undatfonN,l,,hi6N,andletk~ma-c{li,hifiEIm,jeI.}.ThefunctionfiisrealvaluedcontinuousonR… 相似文献
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Yang Fang Tian Yanling Weng Peixuan 《Annals of Differential Equations》2005,21(3):491-496
Sufficient conditions to guarantee all solutions to be oscillatory of a second order nonlinear impulsive difference equation are obtained by using Riccati transformation. 相似文献
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Oscillatory behavior of solutions of second order nonlinear difference equation is studied. Oscillation criteria for its solutions are given. Examples are given in the text to illustrate the results. 相似文献
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In this paper, a new sufficient condition for the oscillation of all solutions of first order neutral delay differential equations is obtained. Secondly, the result can also be extended to a general neutral differential equation, and many known results in the literatures are improved. 相似文献
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The oscillations of the advanced difference equationsxn - xn-1 - p(n)xn+k = 0, n ≥ 0, (*)andXn - Xn-1 - ∑i=1mpi(n)xn+ki=0, n ≥0, (**)are investigated, where p(n),pi(n)(i = 1,2,..., m) are nonnegative real numbers. First. a sufficienet condition for the oscillation of equation (*) is obtained, then the result is generalized to the equation (**). At last, an example is given to illustrate the advantages of our results. Our results are new. 相似文献
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We establish a new oscillation condition for even order neutral type differential equation of the following formwhere f is continuous and exists 1 ≤ k ≤ m(?)(t) ≡ Tk(t), a, (?)i ∈ C([0, ∞], R), i = 1, …,m. such that 0 ≤ a(t) ≤ L and 相似文献
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1 IntroductionThis paper is concerned with the problem of oscillation of second-orderquasilinear differential equationsFOr equation (1), the following conditions, which are referred to (FO), arealways assumed to be valid(a) a > 0 is a constant;(b) F: [to, co) x R x R x R x R - R is a continuous function;(c) sgn F(t, x) u? v3 w) = sgn x for each t 2 to and x, u? v? w E R,(d) r(t) E C([to, co); (0, co)) and jco ddt = co.' (e) T: [to, co) - R is continuous, T(t) 5 t for t 2 to and ill7T(t)… 相似文献
19.
具连续变量的中立型差分方程的振动性 总被引:3,自引:0,他引:3
本文研究如下具有连续变量的中立型差分方程△(y(t)-p(t)y(t-τ)) q(t)y(t-σ0=0,t≥to(*)其中q(t)∈C[to,∞),R∧ ),τ,σ是非负实数的解的振动性,获得了方程(*)的每个解都振动的若干充分条件,改进了文献中的结果。 相似文献