共查询到14条相似文献,搜索用时 15 毫秒
1.
ISHIKAWA TYPE ITERATIVE SEQUENCES WITH ERRORS FOR LIPSCHITZIAN φ-STRONGLY ACCRETIVE OPERATOR EQUATIONS IN ARBITRARY BANACH SPACES 总被引:1,自引:0,他引:1
曾六川 《高等学校计算数学学报(英文版)》2002,(1)
In this paper, we investigate the problem of approximating solutions of the equations of Lipschitzian (?)-strongly accretive operators and fixed points of Lipschitzian (?)-hemicontractive operators by Ishikawa type iterative sequences with errors. Our results unify , improve and extend the results obtained previously by several authors including Li and Liu (Acta Math. Sinica 41 (4)(1998), 845-850), and Osilike (Nonlinear Anal. TMA, 36(1)(1999), 1-9), and also answer completely the. open problems mentioned by Chidume (J. Math. Anal. Appl. 151(2) (1990), 453-461). 相似文献
2.
宋光兴 《数学物理学报(B辑英文版)》2003,23(4)
By using partial order method, the existence, uniqueness and iterative approximation of solutions for a class of systems of nonlinear operator equations in Banach space are discussed. The results obtained in this paper extend and improve recent results. 相似文献
3.
This paper is concerned with initial value problems for semilinear evolution equations in Banach spaces. The abstract iterative schemes are constructed by combining the theory of semigroups of linear operators and the method of mixed monotone iterations. Some existence results on minimal and maximal (quasi)solutions are established for abstract semilinear evolution equations with mixed monotone or mixed quasimonotone nonlinear terms. To illustrate the main results, applications to ordinary differential equations and partial differential equations are also given. 相似文献
4.
PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES 总被引:1,自引:0,他引:1
1.IntroductionInthispaper,weinvestigatetheperiodicboundaryvalueproblem(PBVP)forfirstordernonlinearimpulsiveintegro-differentialeauationsofmixedtypeinaBanachspaceE:wherefEC[JxExExE,E],J=[0,2r]ticECIE,E](k=1,2,',m:KECID,R ],D={(t,s)EJxJ:t2s},HEC[JxJ,R ],R denotesthesetofallnonnegativenumbers,and0相似文献
5.
韦忠礼 《数学物理学报(B辑英文版)》1997,(1)
1IntroductionThetheoryofimpulsivedifferelltialequationsisanimportantbranchofdeferentialequations(see[1]).Inthispapertweconsidertheetistenceofininilnaland~malsolutionsfortheperindicboundaryValueproblems(PBVP)ofnonlinearimpulsiveintegrodmerentialequationsofmiredtypeinBanachspacewherejEC[JxExExE,E],J=[0,Zx],EisarealBanachspace10相似文献
6.
THEMAXIMUMANDMINIMUMSOLUTIONSOFNONLINEAR INTEGRODIFFERENTIALEQUATIONSOFMIXEDTYPEWITHIMPULSESINBANACHSPACESLiuWeian(刘伟安)(Wuhan... 相似文献
7.
INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES 总被引:13,自引:0,他引:13
Guo Dajun 《数学年刊B辑(英文版)》1997,18(4):439-448
INITIALVALUEPROBLEMSFORSECONDORDERIMPULSIVEINTEGRO┐DIFFERENTIALEQUATIONSINBANACHSPACES**GUODAJUN*AbstractManuscriptreceivedJu... 相似文献
8.
步尚全 《数学物理学报(B辑英文版)》2011,(3)
We study Hlder continuous solutions for the second order integro-differential equations with infinite delay (P1): u′′(t)+cu′(t)+∫t-∞β(t-s)u′(s)ds+∫t-∞γ(t-s)u(s)ds = Au(t)-∫t-∞δ(t-s)Au(s)ds + f(t)on the line R, where 0 < α < 1, A is a closed operator in a complex Banach space X, c ∈ C is a constant, f ∈ C~α(R,X) and β,γ,δ∈L~1(R+).Under suitable assumptions on the kernels β, γ and δ, we completely characterize the C~α- well-posedness of (P_1) by using operator-valued C~α-Fourier multipliers. 相似文献
9.
FIXEDPOINTSANDCOUPLEDFIXEDPOINTSFORINCREASINGOPERATORSWITHAPPLICMIONSTODIFFERENTIALINCLUSIONSINBANACHSPACESZHANGSHISHENGANDHU... 相似文献
10.
M.I.Gil' 《Annals of Differential Equations》2004,20(2):145-154
The nonlocal initial problem for nonlinear nonautonomous evolution equati-ons in a Banach space is considered. It is assumed that the nonlinearities havethe local Lipschitz properties. The existence and uniqueness of mild solutionsare proved. Applications to integro-differential equations are discussed.The main tool in the paper is the normalizing mapping (the generalizednorm). 相似文献
11.
CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS 总被引:1,自引:0,他引:1 下载免费PDF全文
谷峰 《数学物理学报(A辑)》2006,26(6):1131
The purpose of this article is to study the weak and strong convergence of implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this article extend and improve thecorresponding results of [1, 2, 4-9, 11-15]. 相似文献
12.
13.
This article deals with a nonlocal heat system subject to null Dirichlet boundary conditions,where the coupling nonlocal sources consist of mixed type asymmetric nonlinearities.We at first give the cri... 相似文献
14.
THE -PROBLEM FOR HOLOMORPHIC (0,2)-FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N. SPACES 下载免费PDF全文
J. LEE K. H. SHON Department of Mathematics Education Andong National University Andong - Korea. Department of Mathematics Pusan National University Pusan - Korea. E-mail: khshon@hyowon.pusan.ac.kr 《数学年刊B辑(英文版)》2002,(1)
51. IntroductionL. H5.m.nd..l3] solved the 0problem by using the L2-estimates for partial differentialoperators in C'.. J. Kajiwara[4] studied infinite dimensional generalizations of the poten-tial kernel. Concerning the 0-problem in infinite dimensional spaces, P. ffeb.i.lll] investi-gated the a-equation for coc (o, 1)-forms in arbitrary pseudoconvex open subsets of separableHilbert spaces without growth condition. J. F. Colombeau and B. Perr.t[l1 showed that aCoc solution u of 0u = w ca… 相似文献