共查询到20条相似文献,搜索用时 78 毫秒
1.
《Nonlinear Analysis: Real World Applications》2007,8(1):312-322
In this paper, we first consider exponential properties of solutions to a class of nonlinear delay differential inequalities. Then, based on the delay differential inequalities and the variation of parameters formula, we derive the new sufficient conditions for exponential asymptotic stability of the nonlinear neutral differential systems with delay. 相似文献
2.
Weirui Zhao 《Nonlinear Analysis: Real World Applications》2009,10(1):544-553
In this Letter, for a general class of delayed periodic multispecies Logarithmic population model, we prove some new results on the existence of positive periodic solutions by contraction principle. The global exponential stability of positive periodic solutions is discussed further, and conditions for exponential convergence are given. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. 相似文献
3.
We present necessary and sufficient conditions for the exponential stability in the nonnegative cone and refine exponential estimates for solutions of systems of autonomous difference equations with monotone nondecreasing right-hand sides, including discontinuous ones, as well as for solutions of some class of systems of differential-difference equations with monotonicity. Unlike well-known criteria, the new ones are free of some additional assumptions on the right-hand sides of the considered models other than the original monotonicity conditions. We show that, in the nonsmooth and discontinuous cases, the traditional exponential stability conditions based on ??linearization?? can lead to negative or very coarse results. 相似文献
4.
5.
Jelena Randjelovi? 《Journal of Mathematical Analysis and Applications》2007,326(1):266-280
The paper discusses the pth moment exponential stability for a general class of neutral stochastic functional differential equations of the Ito type. This investigation can be very complicated, even in many special cases, by using usual methods based on Lyapunov functionals. In this paper we present criteria which are relatively easy to verify the pth moment exponential stability of the solutions of such equations. 相似文献
6.
In this paper the problem of exponential stability of the zero state equilibrium of a discrete-time time-varying linear equation
described by a sequence of linear positive operators acting on an ordered finite dimensional Hilbert space is investigated.
The class of linear equations considered in this paper contains as particular cases linear equations described by Lyapunov
operators or symmetric Stein operators as well as nonsymmetric Stein operators. Such equations occur in connection with the
problem of mean square exponential stability for a class of difference stochastic equations affected by independent random
perturbations and Markovian jumping as well us in connection with some iterative procedures which allow us to compute global
solutions of discrete time generalized symmetric or nonsymmetric Riccati equations.
The exponential stability is characterized in terms of the existence of some globally defined and bounded solutions of some
suitable backward affine equations (inequalities) or forward affine equations (inequalities). 相似文献
7.
8.
Cung The Anh Nguyen Van Thanh 《Stochastics An International Journal of Probability and Stochastic Processes》2019,91(4):485-513
We consider the 3D stochastic Navier–Stokes–Voigt equations in bounded domains with the homogeneous Dirichlet boundary condition and infinite-dimensional Wiener process. First, we prove the existence and uniqueness of solutions to the problem. Then we investigate the mean square exponential stability and the almost sure exponential stability of the stationary solutions. 相似文献
9.
Milan Hladík 《Optimization Letters》2014,8(1):375-389
Interval linear programming (ILP) was introduced in order to deal with linear programming problems with uncertainties that are modelled by ranges of admissible values. Basic tasks in ILP such as calculating the optimal value bounds or set of all possible solutions may be computationally very expensive. However, if some basis stability criterion holds true then the problems becomes much more easy to solve. In this paper, we propose a method for testing basis stability. Even though the method is exponential in the worst case (not surprisingly due to NP-hardness of the problem), it is fast in many cases. 相似文献
10.
In this paper, we consider the existence and global exponential stability of positive pseudo almost periodic solutions for a delayed Nicholson‐type system with patch structure. With the aid of ergodic theory and differential inequality technique, we prove the existence and global exponential stability of positive pseudo almost periodic solutions for the addressed system, which generalize and improve some known results. Specially, an example and its numerical simulations are provided to manifest the effectiveness of theoretical results. 相似文献
11.
对具有分布时滞的非自治Cohen-Grossberg神经网络进行了研究.通过构造适当的Lyapunov函数,利用不等式分析方法,引入多参数,得到了一系列解的一致有界性且最终有界性和全局指数稳定性的判别准则. 相似文献
12.
H. Sedaghat 《Journal of Difference Equations and Applications》2013,19(12):1751-1767
Using the method of semiconjugate factorization we obtain reductions in orders for difference equations that are defined as products of complex exponential and power functions. As an application of this type of reduction in order, we explain the behaviours of positive solutions in special cases of such equations with real parameters. 相似文献
13.
本文讨论了指数型一次Logistic迭代方程解的周期倍分岔现象的存在性,给出了周期倍分合时的临界点参数应满足的方程,并证明了周期倍分岔的临界点参数序列的极限是存在的,进而证明了当参数越过这个极限时,指数型一次 Logistic迭代方程存在混沌解. 相似文献
14.
Going beyond the linearized study has been a longstanding problem in the theory of Landau damping. In this paper we establish
exponential Landau damping in analytic regularity. The damping phenomenon is reinterpreted in terms of transfer of regularity
between kinetic and spatial variables, rather than exchanges of energy; phase mixing is the driving mechanism. The analysis
involves new families of analytic norms, measuring regularity by comparison with solutions of the free transport equation;
new functional inequalities; a control of non-linear echoes; sharp “deflection” estimates; and a Newton approximation scheme.
Our results hold for any potential no more singular than Coulomb or Newton interaction; the limit cases are included with
specific technical effort. As a side result, the stability of homogeneous equilibria of the non-linear Vlasov equation is
established under sharp assumptions. We point out the strong analogy with the KAM theory, and discuss physical implications.
Finally, we extend these results to some Gevrey (non-analytic) distribution functions. 相似文献
15.
A semiiinear stochastic partial differential equation with variable delays is considered. Sufficient conditions for the exponential stability in the p-th mean of mild solutions are obtained. Also, pathwise exponential stability is proved. Since the technique ofLyapunov functions is not suitable for delayed equations, the results have been proved by using the properties of the stochastic convolution. As the sufficient conditions obtained are also valid for the case without delays, one can ensure exponential stability of mild solution in some cases where the sufficient conditions in Ichikawa [11] do not give any answer. The results are illustrated with some examples 相似文献
16.
We consider a class of differential–algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead to classical continuously differential solutions for the associated DAE. Moreover, we show that for arbitrary initial values we obtain mild solutions for the associated problem. We discuss the asymptotic behaviour of solutions for both problems. In particular, we provide a characterisation for exponential stability and exponential dichotomies in terms of the spectrum of the associated operator pencil. 相似文献
17.
In this Letter, by using the inequality method and the Lyapunov functional method, we analyze the globally exponential stability and the existence of periodic solutions of a class of cellular neutral networks with delays and variable coefficients. Some simple and new sufficient conditions ensuring the existence and uniqueness of globally exponential stability of periodic solutions for cellular neutral networks with variable coefficients and delays are obtained. In addition, one example is also worked out to illustrate our theory. 相似文献
18.
By means of the Cauchy matrix, we give sufficient conditions for the existence and exponential stability of almost periodic solutions and periodic solutions for the delay impulsive logarithmic population. 相似文献
19.
M. Majewski 《Journal of Optimization Theory and Applications》2009,141(1):127-146
In this paper, we derive some results concerning the continuous dependence on parameters of optimal solutions to an optimal
control problem that involves a quasilinear hyperbolic differential equation with a boundary condition and a nonlinear integral
functional of action; continuous dependence of such kind is sometimes referred to as stability or sensitivity. To present
a sufficient condition for the continuous dependence, we use the Kuratowski–Painlevé upper limit of a sequence of sets. Also
offered is a technical interpretation of the results. 相似文献
20.
In this paper, the global exponential stability and periodicity are investigated for a class generalized high-order neural networks with time delays and impulses; some sufficient conditions are derived for checking the global exponential stability and existence of periodic solutions for this system using the generalized Halanay inequality, mathematical induction and a fixed point theorem. The criteria given are easily verified and possess many adjustable parameters, which provides flexibility for the design and analysis of the system. Finally, an example with numerical simulation is given to show the effectiveness of the proposed method and results. 相似文献