The existence and uniqueness of universal unfolding are proved.
证明了万有开折的存在性和唯一性。
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。
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。
There is oneness in the existence and uniqueness in all human beings. The essence of spirituality is to recognize and enjoy this.
存在是一体的，人类是独特的。灵性的精髓便是认识到这点，并充分享受。
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。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
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。
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。
In this paper an existence and uniqueness theorem for non-linear two-point boundary value problem is proved by means of Kantorovich 's theorem.
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。
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。
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。
This paper gives existence and uniqueness condition of solutions of the integral equation with variable separable kernel, and it's elementary solutions.
本文给出了具有变量可分离核的积分方程解的存在条件和初等求解法。
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。
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.
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 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。
A study is made on existence and uniqueness and stability of almost periodic solutions to a class of nonlinear integrodifferential equations with finite time lag.
研究一类具有无限时滞的非线性微分积分方程，其概周期解的存在性、唯一性及稳定性等问题。
A parabolic system with nonlinear boundary conditions is considered. T he existence and uniqueness of a nonnegative classical solution are proved to this problem.
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。
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.
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.
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。
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