共查询到20条相似文献,搜索用时 15 毫秒
1.
Julio G. Dix Ioannis K. Purnaras 《Journal of Mathematical Analysis and Applications》2006,318(1):296-304
In this article we study asymptotic properties of solutions to first order linear neutral differential equations with variable coefficients and constant delays. Results are stated in terms of the solution to a characteristic equation. By doing this, we extend some of the results obtained for delay equations in [J.G. Dix, Ch.G. Philos, I.K. Purnaras, An asymptotic property of solutions to linear non-autonomous delay differential equations, Electron. J. Differential Equations 2005 (2005) 1-9] to neutral equations. 相似文献
2.
T. Candan 《Applied Mathematics Letters》2012,25(3):412-416
In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order nonlinear neutral differential equations. Our results include as special cases some well-known results for linear and nonlinear equations of first, second and higher order. We use the Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions. 相似文献
3.
We give spectral and algebraic coefficient criteria (necessary and sufficient conditions) as well as sufficient algebraic coefficient conditions for the Lyapunov asymptotic stability of solutions to systems of linear deterministic or stochastic delay difference equations with continuous time under white noise coefficient perturbations for the case in which all delay ratios are rational. For stochastic systems, mean-square asymptotic stability is studied. The Lyapunov function method is used. Our criteria on algebraic coefficients and our sufficient conditions are stated in terms of matrix Lyapunov equations (for deterministic systems) and matrix Sylvester equations (for stochastic systems). 相似文献
4.
m阶中立型泛函差分方程的振动性准则 总被引:3,自引:0,他引:3
本文了研究m阶混合型中立泛函差分方程:△m(xn+cxn-h+c*xn+h*)=k(qxn-g+Pxn+g*),k=±1.这里C,C*,p,q是实数,且h,h*,g和g*是正整数,并且对于上述方程建立了一些新的振动性准则.本文结果改进了文[1]中的所有定理,并回答了由 Grace S.R.提出的一个公开问题. 相似文献
5.
In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions, which are weaker than those known, for the existence of nonoscillatory solutions. 相似文献
6.
Oscillation of Second Order Impulsive Differential
Equations with Nonpositive Neutral Coefficients 下载免费PDF全文
Arun Kumar Tripathy Gokula Nanda Chhatria 《Journal of Nonlinear Modeling and Analysis》2020,2(4):525-540
In this work, sufficient conditions are established for a class of
nonlinear second order neutral impulsive differential equations to have oscillatory solutions with nonpositive neutral coefficient. Our results extend and
complement some of the known results in the literature. Examples are given
to illustrate our results. 相似文献
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8.
I. I. Matveeva 《Differential Equations》2017,53(6):725-735
We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity. 相似文献
9.
研究时标T上的一类具非正中立项的非线性非自治二阶动力方程的动力学性质.利用时标上的有关理论,并结合一些经典不等式,得到了该方程的一些新的动力学性质,进一步推广和完善了动力方程的动力学性质. 相似文献
10.
The basic results are overviewed concerning the formulation of nonlinear elasticity equations in the form of symmetric hyperbolic systems in long-time studies performed under the direction of the first author. The underlying principles developed in those studies are stated, and some inaccuracies and errors are corrected. Procedures are described for computing the coefficient matrices of the equations from a given equation of state. 相似文献
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研究了一类三阶非线性变系数非自治中立型变时滞差分方程正解的存在性,给出了该类方程存在最终正解的几个充分条件,推广了已有文献的某些结果. 相似文献
13.
本文涉及Runge-Kutta 法变步长求解非线性中立型泛函微分方程(NFDEs) 的稳定性和收敛性.为此, 基于Volterra 泛函微分方程Runge-Kutta 方法的B- 理论, 引入了中立型泛函微分方程Runge-Kutta 方法的EB (expanded B-theory)-稳定性和EB-收敛性概念. 之后获得了Runge-Kutta 方法变步长求解此类方程的EB - 稳定性和EB- 收敛性. 这些结果对中立型延迟微分方程和中立型延迟积分微分方程也是新的. 相似文献
14.
Eduardo Hernández Donal O’Regan 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2016,67(5):135
We introduce a new abstract model of functional differential equations, which we call abstract degenerate neutral differential equations, and we study the existence of strict solutions. The class of problems and the technical approach introduced in this paper allow us to generalize and extend recent results on abstract neutral differential equations. Some examples on nonlinear partial neutral differential equations are presented. 相似文献
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In this paper the asymptotieal stability in p-moment of neutral stochastic differential equations with discrete and distributed time-varying delays is discussed. The authors apply the fixed-point theory rather than the Lyapunov functions. We give a sufficient condition for asymptotical stability in p-moment when the coefficient functions of equations are not required to be fixed values. Since more general form of system is considered, this paper improves Luo Jiaowan's results. 相似文献
17.
非线性脉冲中立型时滞抛物方程解的振动性质 总被引:3,自引:1,他引:2
研究一类非线性脉冲中立型时滞抛物方程,借助于一阶脉冲中立型微分不等式,获得了该类方程在Robin,Dirichlet边值条件下所有解振动的若干新的充分性判据.所得结果充分反映了脉冲和时滞在振动中的影响作用. 相似文献
18.
YANG Jia-shan 《数学季刊》2014,(3):447-456
This paper is concerned with the oscillatory behavior of a class of third-order noonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscilla- tion criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results. 相似文献
19.
Jiashan Yang 《Journal of Applied Mathematics and Computing》2013,43(1-2):445-466
The oscillation of certain third-order nonlinear variable delay functional dynamic equations with nonlinear neutral on time scales is discussed in this article. By using the generalized Riccati transformation and a lot of inequality techniques, some new oscillation criteria for the equations are established. Many of the results are new for the corresponding third-order difference equations and differential equations are as special cases. Some examples are given to illustrate the importance of our results. 相似文献
20.
Ravi P. Agarwal Martin Bohner Tongxing Li Chenghui Zhang 《Annali di Matematica Pura ed Applicata》2014,193(6):1861-1875
We establish some new criteria for the oscillation of second-order Emden–Fowler neutral delay differential equations. We study the case of superlinear and the case of sublinear equations subject to various conditions. The results obtained show that the presence of a neutral term in a differential equation can cause or destroy oscillatory properties. Several examples are provided to illustrate the relevance of new theorems. 相似文献