本文引进(JM)型算子的概念，并证明非线性增生算子和(JM)型算子随机方程的解的存在定理。
In this paper the concept of operators of type (JM) is introduced and the existence theorems for nonlinear random operator equations of accretive type and of type (JM) are proved.
我们利用边界层校正法以及微分不等式理论证明了解的存在定理，并构造出其解的一致有效渐近展开式。
Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of.
佩雷尔曼的定理远远超过证明这些“不存在”的断言，正如怀尔斯证明的定理所告诉你的东西要多于一类方程不存在整数解这个结论。
Perelman's theorem goes far beyond proving this "non-existence" claim, just as Wiles' theorem tells you much more than non-existence of integer solutions of certain equations.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
利用不动点理论，给出了一类时滞积分方程渐近概周期解的存在性定理。
Using the theory of fixed point, we give a theorem about the existence of asymptotically almost periodic solution for a class of delay integral equations.
与原来的方程相比，它增加了一个非线性极强的阻尼项。我们同样用定理1．2介绍过的方法，证明了径向对称解的存在性。
We also use the method in Theorem 1.2 to prove that there exists a smooth 2-dimensional radical symmetric solution for this problem.
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.
利用不动点定理，我们得到了关于这类非线性投影方程解的一些新的存在性定理。
By using the fixed point theorem, we prove some new existence theorems of the solution for this class of nonlinear projection equations in Hilbert Spaces.
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.
应用此不动点定理，在非紧的一般拓扑空间中给出了几个关于拟平衡问题的解的存在性定理。
By applying the fixed point theorem, several new existence theorems of solutions for quasi-equilibrium problems are given under noncompact setting of topological Spaces.
讨论了四阶边值问题，通过应用一个新的三解定理，得到了其解的存在性与多重性。
By using a new three-solution theorem, we obtain the existence and multiplicity of positive solutions for fourth-order boundary value problem.
借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
On the basis of the solution identification theorem in linear equations, a method is presented to ascertain whether there exists all-nonzero solutions to an inhomogeneous linear equation.
通过利用不动点指数理论及一个新的三解定理，得到了边值问题多个正解的存在性。
By using the fixed point theory and a new three-solution theorems, the existence of multiple solutions of the boundary value problem was obtained.
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.
利用拓扑度理论对一类非线性泛函差分方程周期解的存在性进行了讨论，得到该问题周期解的一个存在定理。
The existence of periodic solution to nonlinear functional difference equation is considered by using the topological degree, and a periodic solution of this problem is obtained.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
将应用叠合度理论的延拓定理建立正周期解存在的充分条件。
Sufficient conditions for the existence of positive periodic solutions are established by applying the continuation theorem of coincidence degree theory.
本文重新证明了非线性电阻电路存在唯一解的两个定理。
Alterative proofs of two theorems concerning the existence and uniqueness of solutions for nonlinear resistive circuit are given.
应用该定理，给出了一类时滞积分方程的正概周期解的存在性结果。
As an application, some existence results of positive almost periodic solutions for delay integral equations are obtained, which generalize the existing results.
建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.
利用两点拉伸型不动点定理给出一阶时滞差分方程周期解存在性的充分条件。
Based on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations.
利用拓扑度理论中的连续定理以及M -矩阵的性质获得了该系统正周期解存在的充分条件。
By using the continuation theorem of topology degree theory and properties of nonsingular M-matrix, we obtain sufficient conditions for the existence of positive periodic solutions of this system.
分别使用不动点定理，序方法讨论了一类非单调算子方程组解的存在及其迭代。
By using the theory of fixed point and cone theory, we obtain some new results about the system of a monotone operator equations.
商品的边际替代率和最优解存在定理的介绍则是对前面理论部分的延伸。
The marginal rate of substitution of goods and the existence theorem of the optimal solution is to introduce some of the previous extension of the theory.
运用临界点理论中的极小、极大方法得到一类超二次哈密顿系统的周期解的存在性的存在性定理。
Some solvability conditions of periodic solutions are obtained for a class of first order(superquadratic) non-autonomous Hamiltonian systems in light of the minimax methods of critical point 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.
本文引入和讨论一类新的广义bbm方程，得到了关于这类广义bbm方程周期行波解的一些存在性定理。
Some existence theorems of periodic traveling wave solutions for this kind of generalized BBM equation are given.
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.
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.
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