证明了该问题解的存在唯一性，有界性。
Under the suitable conditions, existence and uniqueness of the solution of the problem has been proved.
大气环流方程组混合问题解的存在唯一性讨论。
Discussed the existence and uniqueness of the analytic solution of the atmospheric circulation equations' mixed problem.
研究一类非线性函数积分方程解的存在唯一性。
This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations.
通过初等方法，证明了此冗余系统非负解的存在唯一性。
A new algorithm that finds nonegative solution of system of linear equations is described and proved.
本文研究快速反应扩散方程定解问题解的整体存在唯一性。
This paper is concerned with the global existence and uniqueness of solution fora fast reaction-di? Usion equation with conditions for determining solution.
用基于度理论的不动点定理，建立了一系列存在唯一性定理。
Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.
然后利用压缩映象原理方法，证明了方程局部广义解的存在唯一性；
Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
利用其等价的抛物拟变分不等式，得到了该问题古典解的存在唯一性。
We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
给出了最优控制律的存在唯一性条件，并提出了最优控制律的设计算法。
The conditions of existence and uniqueness of the optimal control law is given and an algorithm of solving the optimal control law is proposed.
本文证明了非线性薛定格方程组第一边值问题差分格式解的存在唯一性。
The purpose of this paper consists in showing the existence and uniqueness of solution of the difference scheme of the first boundary problem for the system of Schrdinger type.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
本文利用康托·洛维奇定理证明了非线性两点边值问题的一个存在唯一性定理。
In this paper an existence and uniqueness theorem for non-linear two-point boundary value problem is proved by means of Kantorovich 's theorem.
证明了最优控制的存在唯一性，给出了一阶最优性条件，讨论了最优反馈的合成。
The existence of a unique optimal control, the optimality conditions of first order, and the synthesis of the optimal feedback law a re investigated.
利用算子半群方法和先验估计，证明了该问题整体弱解和整体强解的存在唯一性。
By the methods of operator semigroup and apriori estimates, the existence and uniqueness of the global weak solution and the global strong solution for the system are obtained.
我们将利用正则化方法和上下解技巧给出局部古典解和整体古典解的存在唯一性。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
给出了前馈-反馈最优控制律的存在唯一性条件，并提出了最优控制律的实现算法。
We give the existence and uniqueness conditions of the feedforward and feedback optimal control law, and present an actualizing algorithm of solving the optimal control law.
本文研究捕食—食饵系统(1)极限环的存在唯一性，得到了文中的定理1、2、3。
In this paper, we studied the existence and uniqueness of limit cycle or the predator-prey system (l), and obtained theorems 1, 2, 3.
第二章详细论证了一类具有无穷时滞中立型积分微分方程周期解的存在唯一性和稳定性。
The second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail.
考虑了一个具有非线性边界条件的抛物系统，证明了这个问题非负古典解的存在唯一性。
A parabolic system with nonlinear boundary conditions is considered. T he existence and uniqueness of a nonnegative classical solution are proved to this problem.
用纯分析的方法给出了一类单部件可修系统动态非负解的存在唯一性和单调稳定性证明。
By using pure analysis method, are proved the monotone stability, existence and uniqeness of a dynamic state nonnegative solution of a repairable syatem with some singleness components.
讨论了带低阶项的梁的平衡方程的广义解法，分析了解的稳定性、收敛性和存在唯一性。
In this article, we discussed generalized methods for solving the beam eguilibriurr equation with low order terms, analysed stability, convergence and uniqueness of the solution.
用纯分析的方法给出了一类单部件可修系统动态非负解的存在唯一性和单调稳定性证明。
By using a direct analysis technique, the existence of nonnegative solutions was established for singular semi-positone problems with p-Laplacian.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
本文主要是利用动态打靶法证明这种新的磁单极子的存在唯一性，同时也得到了解的渐近估计。
In this paper, we mainly prove the existence and uniqueness of the new monopole by dynamical shooting method, and present sharp asymptotic estimates for the solutions.
利用锥理论和非对称迭代方法，讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性。
By using the cone theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
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