查询词典 existence theorem of implicit function

In the paper, Existence theorem for generalized variational inequalities is established in locally FC-spaces space and its applications are presented.

文章提供关于局部FC-空间上的广义变分不等式的存在性定理，并给出它的一些应用。

Secondly, we prove the existence and the unique theorem of the strong solution for the equations by the Faedo-Galerkin approach.

据我们所知，这类问题解的存在性已有很多经典的结果，但关于全局吸引子的存在性还没有任何结论。

The author proved a general existence theorem when the domain is smooth and noncharacteristic.

当定义域是光滑的和非特征区域时作者证明了一个一般的存在性定理。

We improve the conditions and the proof of the Equilibrium Existence Theorem of perfect competitive markets in[1],and make them clearer and more reasonable.

改进了教材［1］中完全竞争市场均衡志存在定理的条件与证明，使之更为合理与清晰。

Finally, the perturbation problems for the mixed variational-like inequalities problems are discussed, and the existence and uniqueness theorem of the solutions for the perturbation problems is also proved.

最后，讨论了混合似变分不等式问题的扰动问题，并证明了扰动问题的解的存在唯一性定理。

When the quasi-solution existence theorem of the equation has been proved,the algorithm getting quasi- numerical solution by computer is presented.

在方程的适定性和拟解的存在性都已得到证明的情况下，提出了能通过计算机得到近似数值解的算法，讨论了算法的可行性并进行了误差估计。

The present paper using upper and lower solutions,proves an existence theorem of almostperiodic solutions for integrodifferential systems .

采用上下解方法，给出了一个积分微分系统概周期解存在的一般性定理。

Then we prove the existence of positive solutions for difference equations by using fixed point theorem of cone expansion and compression.

另外，对非线性项具有混合单调性的情况，利用不动点指数性质及锥压缩与拉伸不动点定理等方法，得到了差分方程一个正解的存在性。

In the second part, we make use of fixed point theorem of conic expansion and compression to prove the existence of two positive solutions in Banach spaces for ...

第二部分利用锥拉伸与压缩不动点定理证明了Banach空间中非线性项系数带变号的二阶四点边值问题两个正解的存在性。

Recently, the authors of [14, 16, 17] considered the above problem and gave the sufficient conditions about the existence of single and multiple solutions by employing the norm-type expansion and compression theorem due to Krasnoselskii.

最近，文献[14，16，17]中，作者考虑了上述问题，并利用Krasnoselskii的范数形式的锥拉伸和压缩定理得到了单个和多个解存在的充分条件。

"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。