查询词典 existence theorem of implicit function

We prove that the existence and uniqueness of solution of the system of generalized nonlinear variational inclusions by using the fixed point theorem.

运用不动点定理，我们证明了广义非线性变分包含组解的存在性与唯一性。

For the comparison equations, the sufficient conditions for the existence of nonoscillatory solutions are also given by using fixed point theorem.

对于比较方程，也用不动点定理给出了非振动解的存在的充分条件。

In section 6,we we prove the existence of generalized vector quasi-equilibrium problem by the generalized Fan-Browde fixed point theorem.

在第六节，通过推广Fan-Browder的不动点定理证明了一个广义向量拟均衡问题的存在性。

Using the fixed point theorem and degree theory, we give two existence theorems to the system under some conditions.

讨论了一类二、四阶耦合常微分方程组正解的存在性，利用不动点定理和度理论，在一定条件下得到了该方程组正解的两个存在性定理。

We establish some existence theorems for systems of vector equilibrium problems with_+-conditions by using the Kakutani-Fan-Glicksberg fixed point theorem.

运用经典的Kakutani-Fan-Glicksberg不动点定理证明了一类具_+-条件的向量均衡系统问题解的存在性。

By using the fixed point index theorem, several sufficient conditions for the existence of at least one or infinte positive solutions are obtained.

利用不动点指数定理研究了一类二阶非线性常微分方程的三点边值问题正解的存在性问题，得到了至少存在一个或无穷多个正解的几个充分条件。

Under Sturm-Liouville conditions, the existence of at least three positive solutions is proved by using Leggett-Williams fixed point theorem.

利用Leggett-Williams不动点定理，研究了在Sturm-Liouville边界条件下的一类二阶常微分方程组多个正解的存在性，得到了至少三个正解存在的充分条件。

The existence of the first solution is obtained by using a nonlinear alternative of Leray-Schauder, and the second one is found by using a Krasnoselskii fixed point theorem in cones.

第一个正解的存在性是通过运用非线性Leray-Schauder抉择定理得到的，第二个解是通过Krasnoselskii锥不动点定理得到的。

Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.

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 sufficient conditions for the existence and multiplicity solutions of positive periodic solutions were obtained by using the fixed point theorem .

讨论一类具分布时滞的微分方程正周期解问题，利用锥不动点定理，获得了这类问题正解存在性和多重性的充分条件，推广和改进了已有文献的相关结果。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。