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.
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.
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.
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.
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.
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.
本文给出了两点边值问题的解具有唯一性的一个判别法则，并在此基础上给出一类解的存在唯一性定理。
In this paper we give a criterion of uniqueness of solutions to two-point boundary value problem: moreover, we obtain a class of existence uniqueness theorems of solutions.
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.
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.
本文利用随机收缩，证明具有随机定义域的非线性随机算子方程组的解的存在与唯一性定理，给出非线性随机积分和微分方程组的某些应用，改进和推广了某些结果。
In this paper, several existence and uniqueness theorems of solutions are proved for the system of nonlinear random operator equations with stochastic domain by using general random contraction.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.
本文讨论了平均逼近，给出了四个定理，是对存在定理、特征定理，唯一性定理的补充。
This paper discusses average approximation and proposes four theorems which are the supplement for existence theorem, characteristic theorem and solitariness theorem.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.
内容包含晶体管网络的DC方程、解的存在和唯一性定理以及解的性质的判别问题。
The contents being surveyed contain the DC equations of transistor networks, the theorems on the existence and uniqueness of their solutions and the criteria on the properties of the solutions.
有导体存在时的唯一性定理是求解静电场问题的主要依据。
The uniqueness theorem is applied in the phenomenon that static electric field is shielded, it explains the phenomenon.
本文利用拓扑矢量空间中的连续线性泛函导入最佳逼近定义，给出了最佳逼近元的特征定理、存在性定理和唯一性定理。
In this paper the author introduces the definition of the best approximation in topological vector Spaces by use of continuous linear functionals.
论述了偶层对标势的影响及有偶层存在时标势的普遍解和边值问题的唯一性定理。
The influence of double layer for scalar potential, the double layer universal solutions of scalar potential and the only theorem of boundary value problem are discussed.
论述了偶层对标势的影响及有偶层存在时标势的普遍解和边值问题的唯一性定理。
The influence of double layer for scalar potential, the double layer universal solutions of scalar potential and the only theorem of boundary value problem are discussed.
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