查询词典 fixed point theorem

In chapter one, by using Krasnoselskii s fixed point theorem, necessary and sufficient c...

第一章讨论了一类带阻尼项的高阶非线性中立型差分方程正解的存在性，利用Krasnoselskii不动点定理，得到了非振动解存在的若干充分必要条件，这些结果改进和推广了一些已知的结果。

The results are obtained by using semigroup theory and the Schauder fixed point theorem.

文中给出了预解算子的定义、适度解和强解存在定理以及定理的详细证明。

The existence and uniqueness of the solutions are proved by Leray-Schauder fixed point theorem.

相应解的存在唯一性由Leray-Schauder不动点定理得以证明。

Under the suitable conditions, the existence of positive solutions is established by using the abstract fixed point theorem.

研究几类二阶非线性常微分方程组的边值问题，在合适的条件下，利用锥拉伸不动点定理获得了其正解的存在性。

The third section is the main part of this paper, where we discuss the existence of positive entire solutions by the super-subsolution method and some fixed point theorem.

第三章是本文的主要部分，主要用上下解方法和不动点定理解决解的存在性问题，推广了已有的成果。

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。

We show that it has at least one or two or three positive solutions under some assumptions by applying the fixed point theorem and the index theory.

我们运用不动点定理和指标理论在适当的条件下得到了该类问题至少存在一个、两个或三个正解。

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。