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- Klaus Deimling, Ordinary Equations in Banach Space, Lecture Notes in Mathematics 596, Springer-Verlag, 1977. 郭大鈞;孫經(jīng)先著(zhù);抽象空間中的微分方程;山東科學(xué)技術(shù)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(shí)間范圍，并探討此解在趨近邊界時(shí)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,那么它的超空間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(wú)原子對策理論中極其重要的Banach空間,Kohlberg和Tauman已經(jīng)刻劃了pNA中某類(lèi)對策的特征。
- 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. 作為這一法則的一個(gè)有趣應用,給出了2-型空間情形的一個(gè)關(guān)于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(lèi)非線(xiàn)性脈沖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(shí)自反、嚴格凸Banach 空間X 中,論證了關(guān)于極大單調算子T 值域的擾動(dòng)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，一類(lèi)非線(xiàn)性算子方程唯一解的迭代序列的收斂性及其應用，工程數學(xué)學(xué)報;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. 進(jìn)而,刻畫(huà)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. 基于無(wú)窮小母元的譜性質(zhì),討論了商品半群的性質(zhì)。
- By fixed point index theory, multiplicity question of solutions to superlinear operator equations in ordered Banach space is discussed. 通過(guò)不動(dòng)點(diǎn)指數理論，討論了一類(lèi)超線(xiàn)性算子方程的多重解問(wèn)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(xiàn)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(xiàn)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.
- 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]中得到一個(gè)定理:設A;T是Banach空間X上的線(xiàn)性變換;A有界;若Lat(A) Lat(T)且AT=TA;則T是A的多項式.
- 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. 本章主要在已有結論的基礎上,又將某些結論推廣至實(shí)Banach空間中的不同映射情形下,并且還給出了一個(gè)帶誤差的Mann迭代序列的收斂性與帶誤差的Ishikawa迭代序列在一致偽壓縮映射下的收斂性的等價(jià)性定理的證明。
- In Chapter 7 we study the two-dimensional case of Jordan triple mappings on standard operator algebras in Banach spaces. 在第七章我們主要研究了2維情形下的標準算子代數上的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空間中對非擴張映射討論了帶誤差的 Mann迭代過(guò)程的一些特性 .;然后將 Reich的相應定理推廣到帶誤差的 Mann迭代過(guò)程
- In this paper the weak solutions of differential inclusions, random differential inclusions in Banach spaces are introduced; their existence theorems are proved. 本文對Banach空間中的微分包含及隨機微分包含引入了弱解的概念;并給出了它們的存在性定理.
