共查询到20条相似文献,搜索用时 15 毫秒
1.
X.H. Tang 《Journal of Mathematical Analysis and Applications》2006,322(2):864-872
In this paper, we proved that the odd order nonlinear neutral delay differential equation
[x(t)−p(t)g(x(t−τ))](n)+q(t)h(x(t−σ))=0 相似文献
2.
Martin Bohner Said R. Grace Irena Jadlovská 《Mathematical Methods in the Applied Sciences》2020,43(17):10041-10053
This paper is a continuation of a recent work by the authors on the oscillatory properties of second-order half-linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable. 相似文献
3.
One-dimensional perturbed neutral delay differential equations of the form (x(t)−P(t,x(t−τ)))′=f(t,xt)+g(t,xt) are considered assuming that f satisfies −v(t)M(φ)?f(t,φ)?v(t)M(−φ), where M(φ)=max{0,maxs∈[−r,0]φ(s)}. A typical result is the following: if ‖g(t,φ)‖?w(t)‖φ‖ and , then the zero solution is uniformly asymptotically stable providing that the zero solution of the corresponding equation without perturbation (x(t)−P(t,x(t−τ)))′=f(t,xt) is uniformly asymptotically stable. Some known results associated with this equation are extended and improved. 相似文献
4.
一阶中立型时滞微分方程的振动性 总被引:1,自引:0,他引:1
李雪梅 《纯粹数学与应用数学》2000,16(1):75-79
分别获得了中立型时滞微分方程「x(t)+px(t-γ」’+q(t)x(t-σ)=0的振动性和非振动性的充分条件,其中p〉0,q(t)是一个正的周期函数。 相似文献
5.
Y.
ahiner 《Applied mathematics and computation》2004,150(3):2671-706
Oscillation criteria are obtained by using the so called H-method for the second order neutral type delay differential equations of the formwhere z(t)=x(t)+p(t)x(τ(t)), r, p, q, τ, σ, C([t0,∞),R) and f,ψC(R,R).
(r(t)ψ(x(t))z′(t))′+q(t)f(x(σ(t)))=0, tt0,
The results of the paper contains several results obtained previously as special cases. Furthermore, we are also able to fix an error in a recent paper related to the oscillation of second order nonneutral delay differential equations. 相似文献
6.
Basak Karpuz 《Mathematical Methods in the Applied Sciences》2019,42(9):2993-3001
In this paper, we give new sufficient conditions for both oscillation and nonoscillation of the delay dynamic equation where and satisfy τ(t) ≤ σ(t) for all large t and . As an important corollary, we obtain the time scale invariant integral condition for nonoscillation: for all large t. Also, with some examples, we show that newly presented results are sharp. 相似文献
7.
研究一类带次线性中立项的二阶非线性广义Emden-Fowler时滞微分方程的振动性.利用Riccati变换和不等式技巧,在非正则条件下建立了该类方程多个简便的Philos型和Kamenev型新振动准则.所得定理也适应于包括经典Euler方程等线性非中立型方程,推广和改进了已有文献中的相应结果.最后还给出应用实例展示了所... 相似文献
8.
9.
Lihua Liu 《Journal of Computational and Applied Mathematics》2009,231(2):657-663
In this paper, several new oscillation criteria for the second-order nonlinear neutral delay differential equation
10.
Consider the neutral delay differential equation [display math001] In this paper we are concerned with the asymptotic behavior and the oscillatory nature of solutions of Eq. (1). 相似文献
11.
Linear stability of general linear methods for systems of neutral delay differential equations 总被引:9,自引:0,他引:9
This paper is concerned with the numerical solution of delay differential equations (DDEs). We focus on the stability of general linear methods for systems of neutral DDEs with multiple delays. A type of interpolation procedure is considered for general linear methods. Linear stability properties of general linear methods with this interpolation procedure are investigated. Many extant results are unified. 相似文献
12.
Qiaoshun Yang Baoguo Jia Zhiting Xu 《Mathematical Methods in the Applied Sciences》2016,39(2):202-213
In this paper, we consider the nonlinear oscillation of the following second‐order neutral delay dynamic equations with distributed delay on a time scale , where Z(t) = x(t) + p(t)x(τ(t)),α,β > 0 are constants. By using some new techniques, we obtain oscillation criteria for the equation when β > α,β = α, and β < α, respectively. Those results established here complete and develop the oscillation criteria in the literature. Also, our main results are illustrated with some examples. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
13.
We study the asymptotic behavior of a class of second order neutral delay differential equations by both a spectral projection method and an ordinary differential equation method approach. We discuss the relation of these two methods and illustrate some features using examples. Furthermore, a fixed point method is introduced as a third approach to study the asymptotic behavior. We conclude the paper with an application to a mechanical model of turning processes. 相似文献
14.
WANGYOUBIN ZHAOAIMIN YANJURANG 《高校应用数学学报(英文版)》1998,13(4):391-396
The necessary and sufficient conditions for the oscillations of every solution of the nonlinear delay equation x(t) f(x(t l)) g(x([t-k]))=0 are oblained. 相似文献
15.
Sufficient conditions are established for the forced oscillation of systems of neutral parabolic differential equations with deviating arguments. The main results are illustrated by some examples. 相似文献
16.
N. Parhi 《Proceedings Mathematical Sciences》1996,106(2):169-176
In this paper, the oscillation of certain nonlinear neutral differential equations has been studied with the help of the oscillation
of associated linear neutral differential equations 相似文献
17.
A stability property of A-stable collocation-based Runge-Kutta methods for neutral delay differential equations 总被引:6,自引:0,他引:6
Toshiyuki Koto 《BIT Numerical Mathematics》1996,36(4):855-859
We consider a linear homogeneous system of neutral delay differential equations with a constant delay whose zero solution is asymptotically stable independent of the value of the delay, and discuss the stability of collocation-based Runge-Kutta methods for the system. We show that anA-stable method preserves the asymptotic stability of the analytical solutions of the system whenever a constant step-size of a special form is used. 相似文献
18.
Gengping Wei 《Applied mathematics and computation》2011,217(17):7184-7190
This paper is concerned with the nonlinear neutral delay difference equation
(∗) 相似文献
19.
Oscillation of first order delay differential equations 总被引:7,自引:0,他引:7
Bingtuan Li 《Proceedings of the American Mathematical Society》1996,124(12):3729-3737
We introduce a new technique to analyze the generalized characteristic equations to obtain some infinite integral conditions for oscillation of the nonautonomous delay differential equations.
20.
Sufficient conditions are established for the oscillation of even order neutral differential equations of the formwhere n 2 is even integer. 相似文献