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differential inequality
相关语句
  微分不等式
     In this paper, the nonexistence of eventually positive solutions of the first order linear delay differential inequality \$x′(t)+p(t)x(τ(t))≤0\$ is investigated, where \$p(t) , τ(t)∈C([t\-0,∞),[0,∞)),τ(t)≤t.\$ The obtained sufficient conditions im prove many known results in the literature.
     研究了一阶线性时滞微分不等式 x′(t) +p(t) x(τ(t) )≤ 0正解的不存在性 ,其中 p(t) ,τ(t)∈ C([t0 ,∞ ) ,[0 ,∞ ) ) ,τ(t)≤ t,所获充分条件改进了许多熟知的结论
短句来源
     Robust Stabilization for Nonlinear Uncertain Systems and HJI Differential Inequality
     非线性不确定系统的鲁棒镇定与HJI微分不等式
短句来源
     The Application of Differential Inequality
     微分不等式的应用
短句来源
     The singular perturbation of Robin boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters is considered. Under appropriate assumtions,for the three cases ε/μ 2→0(μ→0),μ 2/ε→0(ε→0) and ε=μ 2 the uniformly valid asymptotic solutions of given problem are obtbained by using the method of two parameters expansions and the differential inequality theory.
     研究含两参数的非线性高阶常微分方程 Robin边值问题的奇摄动 ,在适当的条件下利用两参数展开法和微分不等式理论得到给定问题的三种情形ε/μ2 → 0 (μ→ 0 ) ,μ2 /ε→ 0 (ε→ 0 )和ε=μ2 的一致有效的渐近解
短句来源
     Applications of Differential Inequality in Several Nonlinear Boundary Value Problems
     微分不等式在若干非线性边值问题中的应用
短句来源
更多       
  微分不等式
     In this paper, the nonexistence of eventually positive solutions of the first order linear delay differential inequality \$x′(t)+p(t)x(τ(t))≤0\$ is investigated, where \$p(t) , τ(t)∈C([t\-0,∞),[0,∞)),τ(t)≤t.\$ The obtained sufficient conditions im prove many known results in the literature.
     研究了一阶线性时滞微分不等式 x′(t) +p(t) x(τ(t) )≤ 0正解的不存在性 ,其中 p(t) ,τ(t)∈ C([t0 ,∞ ) ,[0 ,∞ ) ) ,τ(t)≤ t,所获充分条件改进了许多熟知的结论
短句来源
     Robust Stabilization for Nonlinear Uncertain Systems and HJI Differential Inequality
     非线性不确定系统的鲁棒镇定与HJI微分不等式
短句来源
     The Application of Differential Inequality
     微分不等式的应用
短句来源
     The singular perturbation of Robin boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters is considered. Under appropriate assumtions,for the three cases ε/μ 2→0(μ→0),μ 2/ε→0(ε→0) and ε=μ 2 the uniformly valid asymptotic solutions of given problem are obtbained by using the method of two parameters expansions and the differential inequality theory.
     研究含两参数的非线性高阶常微分方程 Robin边值问题的奇摄动 ,在适当的条件下利用两参数展开法和微分不等式理论得到给定问题的三种情形ε/μ2 → 0 (μ→ 0 ) ,μ2 /ε→ 0 (ε→ 0 )和ε=μ2 的一致有效的渐近解
短句来源
     Applications of Differential Inequality in Several Nonlinear Boundary Value Problems
     微分不等式在若干非线性边值问题中的应用
短句来源
更多       
  “differential inequality”译为未确定词的双语例句
     In this paper, the nonexistence of eventually positive solutions of the first order linear advanced differential inequality x'(t) -p(t)x(t+T) ≥ 0 is investigated, where p(t) ∈ C([to, ∞), [0, ∞)), T ∈ R~+
     研究了一阶线性时超微分不等式x'(t)-p(t)x(t+r)≥0正解的不存在性,其中p(t)∈C([t_0,∞),[0,∞)),T∈R~+。
短句来源
     Consider the distribution of the zeros of solutions to a second order nonlinear neutral differential equation[x(t)+p(t)x(t-τ)]″+∑mk=1u_k(t)f_k(x(t-σ_k))=0The second order neutral differential equation is changed into the related first order differential inequality by reducing the order.
     研究了二阶非线性中立型微分方程[x(t)+p(t)x(t-τ)]″+∑mk=1uk(t)kf(x(t-σk))=0解的零点分布问题.
短句来源
     Let n be a positive integer, and let W(z) be regular in the Unit disk U: |z| <1, with W(0) = 0. In this paper the author has proved that the differential inequality |W+zW+. . .
     本文证明了,对任意正整数n,当函数W(z)在单位圆U:|z|<1内正则,W(0):0,且不等式在U内成立,则不等式在U内也成立。
短句来源
     Sufficient conditions for the existence 、 uniqueness and exponential stability of the periodic solutions are established by using the continuation theorem of coincidence degree theory, nonnegative matrices theory and differential inequality technique.
     在第四章中,我们利用重合度理论中的延拓定理,不等式、矩阵理论及Lyapunov函数(泛函)方法,研究了具变时滞与复杂时滞的细胞神经网络周期解的存在性、唯一性及其全局指数稳定性。
短句来源
     Sufficient conditions for the existence 、 uniqueness and exponential stability of the almost periodic solutions are established by using the fixed point theorem of Banach space, nonnegative matrices theory and differential inequality technique, which substantially extend and improve some important results in the literature.
     在第五章和第六章中,我们研究了具常数时滞的和分布时滞细胞神经网络概周期解的存在性、唯一性与全局指数稳定性,通过利用矩阵不等式的分析技巧,并结合Banach空间中的不动点定理,我们分别获得了具常数时滞的和分布时滞细胞神经网络概周期解的存在性、唯一性与全局指数稳定性,在较大程度上改进和推广了已有文献的结论。
短句来源
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  differential inequality
The method of proof is based on the integration of a first order differential inequality for a certain time weighted surface measure associated with the solution in question.
      
We derive estimates for weighted and unweighted energy expressions for the solution of a biharmonic boundary value problem in the plane by means of a second order differential inequality.
      
Differential inequality techniques are used to obtain upper bounds for theL1 norm of solutions of nonlinear reaction-diffusion equations.
      
Differential inequality theorem for a linear system of ordinary differential equations
      
The ability of solutions of a differential inequality of n-TH order with delayed argument to oscillate
      
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The purpose of this paper is to study the stability of general non-homogeneous It type stochastic differential equations, with the aid of differential inequalities, starting from work of G. S. Ladde and M. A. Pinsky in [1], [2]. Some comparison theorems areestablis hed under weaker conditions, compared with the condition which were composed in [1] for establishing corresponding theorems. Then using these conparicon theorems, we set up the comparison criterions for stochastic stability, stochastic...

The purpose of this paper is to study the stability of general non-homogeneous It type stochastic differential equations, with the aid of differential inequalities, starting from work of G. S. Ladde and M. A. Pinsky in [1], [2]. Some comparison theorems areestablis hed under weaker conditions, compared with the condition which were composed in [1] for establishing corresponding theorems. Then using these conparicon theorems, we set up the comparison criterions for stochastic stability, stochastic asymptotic stability and stochastic uniform stability of sample trajectories (not moment stability!)so that the connection between the stability in ordinary differential equations and that in stochastic differential equations is built, and the results for stochastic stability obtained by M. A. Pinsky in [2] become a special case of our results in this paper. Hence we have generalized Pinsky's result.

本文的目的是在[1]、[2]的基础上,从Ito公式出发,应用微分不等式来研究较一般的非时齐Ito型随机微分方程。在较[1]的相应条件为弱的前提下,建立了几个比较定理,并在这些比较定理的基础上,建立了样本轨道的随机稳定性、随机渐近稳定性、随机一致稳定性的比较准则。从而就将Ito 随机微分方程解的样本轨道稳定性与常微分方程解的稳定性建立了直接的联系。

The purpose of this paper is to study the stability of general non-homogeneous Ito type stochastic differential equations, with the aid of differential inequalities, starting from work of G. S. Ladde and M. A. Pinsky in [1], [2]. Some comparison theorems areestablis hed under weaker conditions, compared with the condition which were composed in [1] for establishing corresponding theorems. Then using these conparisan theorems, we set up the comparison criterions for stochastic stability, stochastic...

The purpose of this paper is to study the stability of general non-homogeneous Ito type stochastic differential equations, with the aid of differential inequalities, starting from work of G. S. Ladde and M. A. Pinsky in [1], [2]. Some comparison theorems areestablis hed under weaker conditions, compared with the condition which were composed in [1] for establishing corresponding theorems. Then using these conparisan theorems, we set up the comparison criterions for stochastic stability, stochastic asymptotic stability and stochastic uniform stability of sample trajectories (mot moment stability!) so that the connection between the stability in ordinary differential equations and that in stochastic differential equations is built, and the results for stochastic stability obtained by M. A. Pinsky in [2] become a special case of our results in this paper. Hence we have generalized Pinsky's result.

本文的目的是在[1]、[2]的基础上,从Ito公式出发,应用微分不等式来研究较一般的非时齐Ito型随机微分方程。在较[1]的相应条件为弱的前提下,建立了几个比较定理,并在这些比较定理的基础上,建立了样本轨道的随机稳定性、随机渐近稳定性、随机一致稳定性的比较准则。从而就将Ito随机微分方程解的样本轨道稳定性与常微分方程解的稳定性建立了直接的联系。

This article is intended to develop a method for constructing Vector Lyapunov functions and the application to the stability analysis of linear and nonlinear composite systems. By virtue of the Vector Lyapunov functions, the general concept of differential inequality and some other means, the author explores a series of the stability of nonlinear composite systems.

本文的目的是叙述构造矢量李亚普诺夫函数的方法和应用于线性与非线性复合系统的稳定性分析。且利用矢量李亚普诺夫函数、微分不等式的一般概念以及其他手段,研究一系列非线性复合系统的稳定性。

 
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