The existence and uniqueness of universal unfolding are proved.
证明了万有开折的存在性和唯一性。
We prove the existence and uniqueness of the solution of the system.
证明了方程组解的存在性和唯一性。
The existence and uniqueness of limit cycles of a biochemical system is proved.
本文研究一类生化系统的极限环的存在性与唯一性；
The existence and uniqueness of double degenerate parabolic equation are considered.
讨论双退化抛物型方程解的存在性和唯一性。
As applications, existence and uniqueness of a best simultaneous approximation element are studied.
同时，作为应用，研究了最佳联合逼近元的存在性与唯一性问题。
The existence and uniqueness of the models are discussed, and optimal inventory policies are found.
库存费的变化率为存贮量的函数，讨论模型解的存在性和唯一性，找到了最优存贮策略。
In electronic network theory, the existence and uniqueness of solution is a very important fundamental problem.
电网络解的存在唯一性问题是一个十分重要的网络基础理论问题。
By using perturbation techniques and comparison principle, it obtains the existence and uniqueness of solutions.
通过摄动技巧和比较原理得到了解的存在惟一性。
Discussed the existence and uniqueness of the analytic solution of the atmospheric circulation equations' mixed problem.
大气环流方程组混合问题解的存在唯一性讨论。
We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.
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。
Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
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；
By transforming the model to corresponding integral equation, the existence and uniqueness of traveling wave fronts are proved.
通过将其化为等价的积分方程，我们建立了该模型单稳情形下的波前解的存在性与唯一性。
This paper considers the moment problem for modules over principal ideal domain containing existence and uniqueness of solution.
研究主理想环上模的矩量问题，包括矩量问题的存在性和唯一性。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
Alterative proofs of two theorems concerning the existence and uniqueness of solutions for nonlinear resistive circuit are given.
本文重新证明了非线性电阻电路存在唯一解的两个定理。
In this paper, we studied the existence and uniqueness of limit cycle or the predator-prey system (l), and obtained theorems 1, 2, 3.
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。
Existence and uniqueness of the stationary distribution of countable discrete time homogeneous Markov chains is discussed in this paper.
本文考虑可数状态离散时间齐次马氏链平稳分布的存在与唯一性。
In case the coefficients are periodic, we give some sufficient conditions for the existence and uniqueness of asymptotic periodic solution.
对于系数具有周期性时，我们给出了渐进周期解存在并且唯一的必要条件。
The conditions of existence and uniqueness of the optimal control law is given and an algorithm of solving the optimal control law is proposed.
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。
Presented here are the sufficient conditions guaranteeing the existence and uniqueness of the solution for certain nonlinear resistive circuits.
本文叙述了一类非线性电阻电路存在唯一解的一种充分条件。
In some tightness condition, the existence and uniqueness of a vector measure with values in the strong dual of a quasi-barreled space is proved.
证明了在某种紧性条件下拟桶式空间的强对偶空间值的向量测度的唯一存在性。
The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
Because the boundary element method is half analytical and half numerical, there exist the problems of the existence and uniqueness of the solutions.
由于边界元法是半解析半数值解法。在解边界积分方程时会遇到解的存在与唯一性问题。
An equivalent characterization of Haar condition is given in this paper, which guarantees the existence and uniqueness of best uniform approximation.
给出了保证最佳一致逼近元唯一存在的哈尔条件的等价定义。
This paper discusses the existence and uniqueness of consumption plan to attain the utility maximization and solution of them by mathematic viewpoint.
从数学的角度论证了与效用最大化相对应的消费方案的存在唯一性以及求解方法，并通过图形对其进行了解释。
The existence and uniqueness of the solution to these problems with the use of FEM are proved and optimal error estimates in weighted L2-norm are given.
本文讨论二维奇异非稳态问题的有限元方法，证明了弱解的存在唯一性，并给出有限元解的加权L2-模估计。
The existence and uniqueness of solution are proved when the domain is fixed, and the limit behaviour of solutions is obtained as the domain is changed.
讨论了伪抛物方程的一类非线性非局部边值问题，得到了当区域固定时解的存在唯一性，并就当区域变化时解的极限性态进行了探。
Firstly, by use of the successive approximation method and a series of classical estimates, the local existence and uniqueness of weak solution are proved.
利用逐次逼近方法和一系列经典的估计，证明了弱解的局部存在性和惟一性。
This paper discusses existence and uniqueness of the fixed point of some expansion type mapping pairs and properties of fixed point sets in the 2-metric space.
本文讨论2 -距离空间中某些膨胀型映射对的不动点的存在性，唯一性和不动点集的性质。
The existence and uniqueness of renormalized solutions of a class of strongly degenerate quasilinear parabolic equations under certain assumptions are discussed.
研究一类强退化拟线性抛物方程的重整化解，在一定假设条件下得到了这类广义解的存在惟一性。
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