English translation for "ekeland"

埃克兰

Example Sentences:

	1.	Drop theorem and phelps ' lemma and ekeland ' principle in topological linear spaces 不动点定理及其应用
	2.	In chapter 4 , we give a general result of ekeland ' s variational principle in uniform space 第四章给出了ekeland变分原理在一致空间中的推广。
	3.	Firstly , we validate the functional j ( u ) satisfys the given conditions meets the conditions in the mountain pass lemma without ( ps ) condition , then we use the mountain pass lemma and the famous ekeland theory to prove the existence of two positive solutions 我们首先验证满足假设条件(见正文)的泛函j ( )满足没有( ps )条件的翻山引理中的条件，然后运用没有( ps )条件的山路引理及著名的ekeland变分原理证明两个正解的存在性。
	4.	Chapter 4 is a focal point of the paper . and the generalization of ekeland ' s principle not only broadens its applications - - just as we use it to solve the difficulty of control theory in this paper , but also makes a develop sense in mathematical theory 该章是本文的重点内容之一，其中对ekeland原理的推广不仅使它的应用范围得到了拓广(本文在控制理论方面的应用正是这种拓广的一个实例) ，而且在数学基础理论方面也有一定的发展意义。
	5.	The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where , m : [ 0 , t ] - s ( rn , rn ) is a continuous mapping in the space s ( rn , rn ) of symmetric real ( n x n ) - matrices , such that for some u > 0 and all ( t , z ) [ 0 , t ] x rn , ( m ( t ) x , x ) > u | x | 2 . a s ( rn , rn ) , f : [ 0 , t ] x rn r is continuous and f : [ 0 , t ] xr r exists , is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem . we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional . our work improves the existed results . we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem , and the functional does not need the condition of constant definite . at last , we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem ( ? ， ? )为r ~ n中内积， | ? |为对应范数。 f [ 0 ， t ] r ~ n r连续， ? f ( t ， x )存在且连续， h l ~ 1 ( 0 ， t ； r ~ n ) 。利用ekeland变分原理和鞍点定理讨论了该系统周期解的存在性，把非线性项和位势函数放宽到一类无界函数，推广了这方面工作的一些已有结果；利用广义鞍点定理和lusternik - schnirelman畴数理论得到了该系统的多重周期解，取掉了泛函的常定要求；最后利用对称山路定理得到没有扰动时系统的无穷多周期解。
	6.	Replacing the ekeland distance by an uniform topology . endued with the new structure , uad is free of uncompleted of the old structure under unbounded control situation . meanwhile , the generalized ekeland ' s principle can be used to probe into the infinite time interval and unbounded control problems 用一种一致结构代替以往文献中赋予uad的ekeland度量结构，从而解决了在讨论无界控制时uad的原结构所遇到的不完备性问题；同时，我们对ekeland原理的推广，也使该原理可用来讨论无限时间区域、无界控制条件下的最优控制问题。

Similar Words：

"ekeing (or eking)" English translation, "ekeireb" English translation, "ekekang" English translation, "ekekrantz" English translation, "ekel" English translation, "ekelchik" English translation, "ekele" English translation, "ekelfi" English translation, "ekelik" English translation, "ekelin" English translation