并进一步证明了严格单调算子的解的唯一性定理。
We prove the uniqueness theorems of solutions for the strictly monotone operators.
证明了一类非线性椭圆型方程径向对称解的唯一性。
Uniqueness of radially symmetric solutions for a class of nonlinear elliptic equations is proved.
结果表明，在弹性力学问题中存在奇异解的情况，这与弹性力学解的唯一性定理是不一致的。
It indicates that singular solution exists in solving problems of elasticity, which is inconsistent to the theorem of uniqueness of solution.
利用该弱极大值原理，证明了对于第一类、第二类和第三类边值问题，水汽方程解的唯一性和稳定性。
By using the weak maximum principle, the uniqueness and stability of the solution of water vapour equation with the first, second and third boundary-value problems were proven.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
In this paper, the maximum principles for solutions of four classes of semi-linear ellipic equations are established.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle, and the blow-up rate of the solutions was obtained.
对该方法所获解的唯一性和精度问题进行了深入的探讨，并在此基础上提出了改进的O - D量推算方法。
The problems about the uniqueness and the precision of solutions obtained in original methods are discussed, and the improved methods are put forward.
本文在对利益相关者进行合理界定的基础上，运用合作博弈数学模型，求证利益相关者博弈的子博弈精炼纳什均衡解的唯一性。
Based on reasonable definition of stakeholder and cooperative gambling model, the uniqueness of sub-gambling refining Nash equilibrium among stakeholders is tried to get.
给出了离心泵叶片表面的边界层动量积分方程的解的构造及其计算方法，并以计算实例说明了该解的唯一性和算法的稳定性、收敛性。
Solutions of the boundary layer momentum integral equations of vanes in centrifugal pumps are given and their calculation method and their illustration with example are given too.
在方程课上，我听了一系列未公开的演讲，强调的是微分方程的解的存在证明及其唯一性。
For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.
讨论双退化抛物型方程解的存在性和唯一性。
The existence and uniqueness of double degenerate parabolic equation are considered.
文中证明了该问题古典解的局部存在性、整体存在性和唯一性。
The local existence, the global existence and the uniqueness of a classical solution of this problem are proved.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
探索和研究了数学船型构造及解的存在、唯一性，且建立了一套求光顺样条曲面的数值方法。
Also this paper presents the structure of mathematical vessel-model and the existence and uniqueness of the solution and introduces a set of numerical methods to solve the smoothed-spline Surface.
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.
在适当的条件下，研究了问题广义解的存在、唯一性及其渐近性态。
Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the problems are studied.
先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。
Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.
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.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
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.
在适当的条件下，证明了该完全广义强非线性拟变分包含解的存在性及唯一性，并且得到了迭代算法的收敛性和几乎稳定性。
Under suitable conditions, the existence and uniqueness of solutions of the that inclusion and the convergence and almost stability of the sequence generated by the iterative al.
一股的方程我们已经能够解决相关的概周期函数类型解的存在性和唯一性。
We have solved the existence and the uniqueness of almost periodic type solutions of ordinary 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.
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.
摘要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.
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.
证明了方程组解的存在性和唯一性。
We prove the existence and uniqueness of the solution of the system.
本文针对一般非线性系统，在渐近稳定的条件下，得到了完全系统的周期解的存在性、唯一性及收敛性。
In this paper, we obtain the existence, uniqueness and the convergence of a periodic solution of the full system for general nonlinear systems under asymptotically stable conditions.
本文针对一般非线性系统，在渐近稳定的条件下，得到了完全系统的周期解的存在性、唯一性及收敛性。
In this paper, we obtain the existence, uniqueness and the convergence of a periodic solution of the full system for general nonlinear systems under asymptotically stable conditions.
应用推荐