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- Klaus Deimling, Ordinary Equations in Banach Space, Lecture Notes in Mathematics 596, Springer-Verlag, 1977. 郭大钧;孙经先著;抽象空间中的微分方程;山东科学技术出版社.
- The positive solutions of the equations are given by using method of direct structure in the Banach space. 主要从事泛函，微分方程，差分方程、差分方程理论及应用研究。
- The basic technique used in this paper is the fixed point theory for dif-ferential equations in Banach space. 我们也找出弱解存在的最大时间范围，并探讨此解在趋近边界时的行为；此外，我们也证明了解对初值条件的连续性。
- 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空间为可分的,那么它的超空间W_k ( X )和超空间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是无原子对策理论中极其重要的Banach空间,Kohlberg和Tauman已经刻划了pNA中某类对策的特征。
- 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. 作为这一法则的一个有趣应用,给出了2-型空间情形的一个关于叠对数律的子序列原理的结果。
- 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 空间的极限理论证明用矩阵多项式表示矩阵函数(收敛的方阵幂级数)的存在性与唯一性.
- 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空间上讨论一类非线性脉冲Volterra积分方程的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. 在实自反、严格凸Banach 空间X 中,论证了关于极大单调算子T 值域的扰动定理
- Yu lixin, initial value problems of second order nonlinear impulsive integro-defferential equations in Banach space, Indian J. pure appl. 于立新，郭宜明，一类非线性算子方程唯一解的迭代序列的收敛性及其应用，工程数学学报;2003;20(1).
- 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. 进而,刻画了光滑的自反空间的单位球面到其共轭空间的单位球面上的等距算子。
- Based on the spectral properties of the infinitesimal generator, the properties of the commodity semigroup in the Banach space are discussed. 基于无穷小母元的谱性质,讨论了商品半群的性质。
- By fixed point index theory, multiplicity question of solutions to superlinear operator equations in ordered Banach space is discussed. 通过不动点指数理论，讨论了一类超线性算子方程的多重解问题。
- 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. 证明了闭的极大线性子空间是强正交可补的充分必要条件是;空间X是自反严格凸的.
- 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:证明了闭的极大线性子空间是强正交可补的充分必要条件是;空间X是自反严格凸的.
- It was shown by Fillmore in [1] that linear transformations ?A? and ?T? on a Banach space, with ?A? bounded. If Lat(?A?)?Lat?(T)? under what conditions and ?T? commutes with ?A?, then ?T? is a polynominal in ?A?. Fillmore在[1]中得到一个定理:设A;T是Banach空间X上的线性变换;A有界;若Lat(A) Lat(T)且AT=TA;则T是A的多项式.
- In this chapter, some conclusions are extended to the real Banach space under different mappings, and a proof on the equivalence of Mann and Ishikawa iterative processes with errors under the uniformly pseudo-contractive mapping is given. 本章主要在已有结论的基础上,又将某些结论推广至实Banach空间中的不同映射情形下,并且还给出了一个带误差的Mann迭代序列的收敛性与带误差的Ishikawa迭代序列在一致伪压缩映射下的收敛性的等价性定理的证明。
- In Chapter 7 we study the two-dimensional case of Jordan triple mappings on standard operator algebras in Banach spaces. 在第七章我们主要研究了2维情形下的标准算子代数上的Jordan triple映射。
- In this paper,we establish the Mann iteration process with errors for nonexpansive mapping in uniformly convex Banach space,and generalize corresponding results of Reich to the Mann iteration process with errors. 本文首先在一致凸 Banach空间中对非扩张映射讨论了带误差的 Mann迭代过程的一些特性 .;然后将 Reich的相应定理推广到带误差的 Mann迭代过程
- In this paper the weak solutions of differential inclusions, random differential inclusions in Banach spaces are introduced; their existence theorems are proved. 本文对Banach空间中的微分包含及随机微分包含引入了弱解的概念;并给出了它们的存在性定理.
