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- Furthermore, we give a characterization of the isometry from the unit sphere of a smoothly normed reflexive Banach space onto that of its dual space. 進而,刻畫了光滑的自反空間的單位球面到其共軛空間的單位球面上的等距運算元。
- Yiran He. Stable Pseudomonotone Variational Inequality in Reflexive Banach Spaces, Journal of Mathematical Analysis and Applications , 330(2007), 352--363. 王敏;何詣然.;向量變分不等式的嚴格可行性問題
- Existence of the Solutions of the Variational Inequality Problem with a Maximal Monotone Set-valued Map on a Reflexive Banach Space 自反Banach空間中極大單調集值映射變分不等式的解的存在性
- reflexive Banach space 自反巴拿赫空間
- The question of a class of mixed variational-like inequalities on multi-valued mapping in reflexive Banach spaces 自反Banach空間一類集值映象的混合似變分不等式問題
- We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex. 證明了閉的極大線性子空間是強正交可補的充分必要條件是;空間X是自反嚴格凸的.
- Abstract: We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex. 文摘:證明了閉的極大線性子空間是強正交可補的充分必要條件是;空間X是自反嚴格凸的.
- reflexive Banach spaces 自反Banach空間
- Klaus Deimling, Ordinary Equations in Banach Space, Lecture Notes in Mathematics 596, Springer-Verlag, 1977. 郭大鈞;孫經先著;抽象空間中的微分方程;山東科學技術出版社.
- The positive solutions of the equations are given by using method of direct structure in the Banach space. 主要從事泛函,微分方程,差分方程、差分方程理論及應用研究。
- The basic technique used in this paper is the fixed point theory for dif-ferential equations in Banach space. 我們也找出弱解存在的最大時間範圍,並探討此解在趨近邊界時的行為;此外,我們也證明了解對初值條件的連續性。
- And we get that if the Banach space is separable, then its hyperspace W_k ( X ) and hyperspace W_(kc)( X ) are also separable. 得到了如果原Banach空間為可分的,那麼它的超空間W_k ( X )和超空間W_(kc)( X )也是可分的。
- Kohlberg and Tauman have characterized some class of games in pNA, a Banach space of great importance in Nonatomic Game Theory. pNA是無原子對策理論中極其重要的Banach空間,Kohlberg和Tauman已經刻劃了pNA中某類對策的特徵。
- As an application of this criterion a result about subsequence principle on iterated logarithm law for the case of Banach space of type 2 is given. 作為這一法則的一個有趣應用,給出了2-型空間情形的一個關於疊對數律的子序列原理的結果。
- The existence and uniqueness of the m atrix polynom ial representing a m atrix function are proved by using the lim ittheory in Banach space. 利用Banach 空間的極限理論證明用矩陣多項式表示矩陣函數(收斂的方陣冪級數)的存在性與唯一性.
- In this paper, Ll poc-solutions of a kind of nonlinear impulsive Volterraintegral equation in Banach space are considered(here p >1). 本文主要在Banach空間上討論一類非線性脈衝Volterra積分方程的Llpoc解(其中p >1).
- Prove som e m apping oftheorem s of perturbations for ranges ofm axim al m onotone operatorT in a realreflexive and strictly convex Banach space X. 在實自反、嚴格凸Banach 空間X 中,論證了關於極大單調運算元T 值域的擾動定理
- Yu lixin, initial value problems of second order nonlinear impulsive integro-defferential equations in Banach space, Indian J. pure appl. 於立新,郭宜明,一類非線性運算元方程唯一解的迭代序列的收斂性及其應用,工程數學學報;2003;20(1).
- Based on the spectral properties of the infinitesimal generator, the properties of the commodity semigroup in the Banach space are discussed. 基於無窮小母元的譜性質,討論了商品半群的性質。
- By fixed point index theory, multiplicity question of solutions to superlinear operator equations in ordered Banach space is discussed. 通過不動點指數理論,討論了一類超線性運算元方程的多重解問題。