And then , multiple - dimention asmptotic periodic function space is still banach space
In this paper , we studied the convergences of two deformed newton iterations and a de - formed halley iteration
These new derivatives are equivalent to old one in hilbert space , but this is not true in banach space
In chapter 3 , the applications of mixed monotone operators to differential ( - integro ) equations in banach space are given
Chapter 3 studies these problems and thus lays a foundation for discussing the optimal control theory in banach space
The algorithm problem of solving nonlinear operator equation f ( x ) = 0 in banach space has been studieded by many numerical scientists
Due to the extra boundary integration item of the corresponding functional , to make the functional hold , we must research it in a new banach spac
Chapter 3 monotone points in musielak - orlicz sequence spaces : the role of monotonicity in banach much like the rotundity in banach spaces
The properties of asmptotic periodic function and the asmptotic periodic function space are studied , accordingly , we have , the asmptotic periodic function space is banach space
These new methods offer us some new approaches to the operator theory . this paper contain four chapters . chapter 1 deals with co semigroups on banach lattice as well as with their properties
用banach空间造句挺难的，這是一个万能造句的方法
In chapter 4 , we introduce a new two - step method which is from the famous one - point iteration of order three called halley method to approximate a solution of a nonlinear equation in banach space
In the first part of this article , a new class of set - valued variational inclusion problem in banach spaces was introduced and some new type of iterative algorithms for solving the problems are studied
There are many important applications in approximate theory , control theory and variation inequalities etc . according to the requirement of various subjects and applications , orlicz spaces is extended from the classical spaces lp
Two results are obtained . the same method is applied to the first order periodic value boundary problem of discontinuous equations in banach space . two existence and uniqueness results are also obtained
The purpose of this paper is to discuss two classes of nonlinear equations , one of which is nonlinear operator equations with concavity or convexity and the other is nonlinear integro - differential equations in banach space
This thesis is divided into four chapters . in the first chapter and the second chapter , we study the existence of solutions of impulsive differential equations in banach spaces , the main results derive from paper [ 36 ] and [ 37 ]
When we use mathematical methods to study natural and social phenomena or to solve engineering technique problems , we often regard the solutions of most practical problems as the ones of nonlinear equations in form of f ( x ) = 0 ( 1 ) in banach space
In the third part , i genelized one theorem of lambert ' s from a hilbert space to a semi - self - conjugate vector space , and some results of reflexivity are attained . in the fourth part , i discussed the algebraic reflexivity of a ( strictly ) cyclic linear transformation on a vector space
4 . by using the theory of cones and the partial - ordered method with upper solution or lower solution . existence and uniqueness of global solutions on interval [ 0 , a ] ( a > 0 ) for the first order initial value problem of discontinuous equations in banach space ( 1 ) is discussed
In this article , we mainly dicuss special nonlinear operator ' s and set - valued mapping ' s ishikawa and mann iteration in any banach space . as whole , we mainly touch on some aspects as follow : - strongly pseudocontractire operator ' s ishikawa and mann iteration in a cone
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