文中讨论了一类非双曲内部动态有界解的存在性。
The bounded solutions of non hyperbolic internal dynamics are discussed.
给出了问题径向正解的非存在性，解的振荡性及有界性的充分条件，并对有界解进行了估计。
The nonexistence theorem of radial positive solution, sufficient conditions of oscillation and boundedness of radial solution and estimation for bounded solution are given in this paper.
研究表明，不稳定内部动态有界解的存在性是非最小相位系统能够稳定跟踪期望输出轨迹的关键。
The existence of the bounded solution of unstable internal dynamics is the key to tracking reference trajectory stably.
假设期望轨迹由某一稳定外部系统产生，利用中心流形的理论，证明了系统内部动态有界解是存在的。
Supposing that the reference trajectory is generated by a stable system, the bounded solution of non hyperbolic internal dynamics is existed by using center manifold theory.
用孤立不变集和孤立块的概念，给出了含一个参数的二阶常微分方程组的非驻定有界解分支点的存在性准则。
Using concepts of invariable set and isolated cube, we obtained existence for bifurcate points of bounded solutions of second order ordinary differential systems including a parameter.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
无约束优化问题的共轭梯度路径构造的思想启迪我们用其来解带线性等式约束和有界变量约束的优化问题。
The idea of conjugate gradient path in unconstrained optimization irradiates us to use this method for solving the linear equality optimization subject to bounds on variables.
利用不动点理论，给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
近年来，变分不等式的解集非空有界与严格可行性的等价性被一些学者讨论。
Recently, some researchers have studied the equivalence betweenstrict feasibility and solution set being nonempty and bounded for variationalinequality problem.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
研究了非线性无穷时滞微分系统解的一致有界性和一致最终有界性。
In this paper, we discuss uniform boundedness and uniform ultimate boundedness of differential systems with infinite delay.
利用不变区域方法，证明了二氧化硫催化氧化管式反应器流向变换强制操作模型整体解的存在性和一致有界性。
The existence and uniform boundedness of the global solutions of the model for sulphur dioxide oxidation in a tubular reactor with periodic flow reversal are proved by the invariant domain method.
图像的卡通部分是由一个有界变差(BV)函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。
The cartoon component of an image is modeled by a bounded variation (BV) function; the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.
本文证明了一类反应扩散方程组初边值问题整体有界广义解的存在性和唯一性。
This paper proves the existence and stability of global bounded generalized solutions of initial boundary value problems for a kind of reaction-diffusion systems.
HEWC问题第一次被归结为一个整数线性规划问题，并且利用LP的放松问题和有界启发得到一个近似解。
The HEWC problem was formulated as an integer linear program, and an approximation solution was obtained by using LP-relation and rounding heuristic.
本文讨论了一类半线性椭园方程组正有界整体解的存在性。
This paper is concerned with the existence for bounded positive entire solutions of a class of semilinear elliptic system.
本文讨论一类三阶时滞泛函微分方程解的渐近性质，给出了若干解的有界性及解趋于零的判定准则。
Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.
严格一致有界性是一种可以给出解的衰减率信息的有界性；
Strict boundedness is the kind of boundedness that gives us some information about the rate of decay of the solution.
本文讨论始边值问题(1)—(3)，在一般条件下，证明解一致有界，并得出衰减估计。
This paper discusses initial boundary value problem (1) - (3). Under somewhat more general condition, the uniform boundness of the solutions is demonstrated and the decay estimate is obtained.
研究了广义零程粒子系统生成元的局部有界性和系统生成元预解算子的局部散逸性。
This paper studies the locally bounded property of a generalized infinite particle system with zero range interactions and the dissipation of the resolvent operator of the system generator.
本文考虑一类对角型蜕化椭圆组，证明了广义解的整体有界性。
In this paper, We consider a class of degenerate elliptic systems in diagonal form and prove the global boundedness for generalized solutions.
在第三章中，我们研究了两类等时系统解的有界性和不变环面的存在性。
In Chapter 3, we study the boundedness of solutions and the existence of invariant tori for two kinds of isochronous systems.
利用半群理论等方法讨论了半线性抛物型边界控制系统解映射的有界性 。
In this paper, the compactness of solution map for parabloic system with a nonlinear boundary control using semigroup theory is obtained.
本文考虑对角型双非线性抛物型方程组，在一般结构条件下，证明广义解局部有界和整体有界，并对一特殊情形，证明了如果解在抛物边界为零，那么它只能是零解。
This paper consider a doubly nonlinear parabolic equations systems in diagonal form, under rather general structural conditions, proved that its generalized solution is bounded locally and globally.
其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；
Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition.
寻的运动在相遇点即奇异点展成级数可得解为有界的条件。
The condition for finite solution of homing motion can be obtained from the series form solution at singular point.
应用有界线性算子半群理论证明一类成批服务系统的解的存在唯一性和非负性。
In this paper, by using C0-semigroup theory the existence of a unique positive time-dependent solution of a bulk service queue with finite waiting space is proved.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
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