存在性定理

In chapter one, by using a competely continuous operator on cone and the Krasnoselskii fixed point theorem, we study the existence of positive periodic solutions of differential equations with impulses and delays, and some sufficient conditions will be given.

第一章讨论了一类具脉冲时滞微分方程周期正解的存在性，通过建立锥上的全连续算子，利用Krasnoselskii不动点定理，得到了存在周期正解的若干充分条件。

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。

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。

Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.

利用微分不等式技巧研究了某一类二阶混合型积分微分差分方程的两点边值问题，在上下解存在的条件下，得到了解的存在性和唯一性定理。

By using the method of coincidence degree, a set of easily verifiable sufficient conditions are established for the existence of positive periodic solution of this system.

利用重合度理论的延拓定理讨论了此系统周期解的存在性问题，得到了保证周期解存在的充分条件。

The existence of triple positive solutions for second order multi-point boundary value problem is investigated by using Avery-Peterson fixed point theorem. Gives the sufficient conditions for the existence of three positive solutions of the problems.

研究一类二阶非线性微分方程的n点边值问题正解的存在性，应用Avery-Peterson不动点定理，给出这类边值问题至少存在3个正解的充分条件。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

Since then,by applying the Leray-Schauder continuation theorem,nonlinear alternative of Leary-Schauder,coincidence degree theory,and Krasnoselskii's fixed point theorem,many researchers have studied more general nonl...

研究了一类二阶非线性常微分方程的三点边值问题多重正解的存在性问题，在非线性项不满足超线性或次线性的条件下，利用不动点指数定理得到了至少存在两个正解的几个充分条件。

By using the Krasnoselskii fixed point theorem, an existence result of two positive solutions is obtained under suplinear condition and sublinear condition.

讨论一类四阶非线性微分方程组Dirichlet边值问题正解的存在性，利用Krasnoselskii不动点定理得到这类边值问题在超线性和次线性条件下至少存在两个正解。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。