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I can't get this off him by myself, Sarge.

我自己搬不动这个,警官

Don't feel my sash!

不动我的腰带!

By using cross-iteration technique and the Schauder fixed point theorem, the existence theorem of travelling wave solutions of this system is established.

针对反应项的不同单调性,引进交互迭代格式,利用Schauder不动点定理建立了行波解的存在性定理,并将所得结论应用到时滞竞争系统。

The existence of solution is studied for a class of second - order periodic boundary value problems with first applying Leray - Schauder fixed point theorem, two exislence theorems are established.

考察了一类非线性项含有一阶导数的二阶周期边值问题的解的存在性,其中非线性项是Carathèodory函数。通过构造非线性项的高度函数并且利用Leray-Schauder不动点定理建立了两个存在定理。

Chapter three deals with the controllability of a nonlinear integrodifferential systems ofSobolev type with nonlocal condition in Banach spaces. The results are obtained by using semi group theory and the Schauder fixed point theorem.

本章利用算子半群和Schauder不动点定理,在Banach空间中讨论了带有非局部初始条件的一类非线性Sobolev型积分微分系统的可控性问题。

In chapter 6, we discussed the wavefront solution of a kind of lattice differential equation which derives from diverse fields. We obtained the wavefront solution by using sup-subsolution iteration when the coupled functions are quasimonotone, and by applying Schauder fixed point theorem, we also obtained the wavefront solution when the coupled functions have a different quasimonotone property.

在第六章中,我们对一类从实际问题中抽象出来的二阶时滞格微分方程的行波解进行了讨论,用单调迭代的方法讨论了耦合函数具有拟单调性时行波解的存在性,用不动点的方法讨论了耦合函数具有指数拟单调性时行波解的存在性。

Firstly, we analysize the boundary value problem for linear singular system, several properties for linear singular system are given, and then the existence for boundary value problem to nonlinear singular system is proved by using the previous properties discussed and Schauder's fixed point theorem.

接着,利用Banach不动点定理,研究了Volterra型广义积分微分系统边值问题解的存在唯一性,最后给出了几个推论。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来,无穷时滞泛函微分方程的周期解问题受到广泛关注,一些学者应用Lyapunov泛函方法,Schauder不动点方法,以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5]),研究了无穷时滞泛函微分方程的周期解的存在性问题。

By using Schauder fixed point theorem and upper and lower solution method,we ob- tain some new existence criteria for positive solution to a singular p-Laplacian BVPs with sign-changing nonlinearity involving derivative.

借助于上下解方法和Schauder不动点定理,建立了测度链上非线性项变号的奇异p-拉普拉斯多点边值问题正解的存在性准则。

Chapter 2 discuss firstly the local existence of solutions for a class of abstract functionalintegro-differential equations with unbounded delay by Schauder's fixed point theorem, then byintroducing an inequality condition and applying the continuity property of solutions it obtainsthe global existence of the solutions.

第二章先利用Schauder不动点定理讨论一类具有无限时滞抽象泛函积分微分方程解的局部存在性,然后引入一不等式条件并利用解的延拓性质获得了解的整体存在性

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