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ON NEW APPROXIMATIONS FOR GENERALIZED CAUCHY FUNCTIONAL EQUATIONS USING BRZDȨK AND CIEPLIŃSKI'S FIXED POINT THEOREMS IN 2-BANACH SPACES
《Acta Mathematica Scientia》2020年第3期824-834,共11页Laddawan AIEMSOMBOON Wutiphol SINTUNAVARAT 
This work was supported by Research Professional Development Project under the Science Achievement Scholarship of Thailand(SAST)and Thammasat University Research Fund,Contract No.TUGG 33/2562;The second author would like to thank the Thailand Research Fund and Office of the Higher Education Commission under grant no.MRG6180283 for financial support during the preparation of this manuscript.
In this work,we apply the Brzdȩk and Ciepliński's fixed point theorem to investigate new stability results for the generalized Cauchy functional equation of the form f(ax+by)=af(x)+bf(y),where a,b∈N and f is a mappi...
关键词：Fixed point theorem generalized Cauchy functional equation 2-normed space stability 
ESTIMATES ON THE FINITE ELEMENT APPROXIMATIONS OF A QUADRATIC FUNCTIONAL
《Acta Mathematica Scientia》2012年第1期209-218,共10页Xiaqi Ding 
This paper gives some estimates of a quadratic functional related with Rie- mann Hypothesis.
关键词：quadratic functional estimate of lower bound finite element 
PARTIAL COMPACTNESS FOR LANDAU-LIFSHITZ MAXWELL EQUATION IN TWO-DIMENSION被引量：1
《Acta Mathematica Scientia》2011年第2期727-748,共22页寇艳蕾 丁时进 
supported by the National Natural Science Foundation of China (10471050);Guangdong Provincial Natural Science Foundation (031495);National 973 Project (2006CB805902)
We study the partial regularity of weak solutions to the 2-dimensional Landau- Lifshitz equations coupled with time dependent Maxwell equations by Ginzburg-Landau type approximation. Outside an energy concentration se...
关键词：Landau-Lifshitz-Maxwell equations ginzburg-landau approximations Haus-dorff measure partial regularity 
POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY被引量：3
《Acta Mathematica Scientia》2009年第1期111-128,共18页刘红霞 潘涛 
supported by the NSF China#10571075;NSF-Guangdong China#04010473;The research of the second author was supported by Jinan University Foundation#51204033;the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State education Ministry#2005-383
This article is concerned with the pointwise error estimates for vanishing vis- cosity approximations to scalar convex conservation laws with boundary.By the weighted error function and a bootstrap extrapolation techn...
关键词：Scalar conservation laws with boundary vanishing viscosity approximations error estimate pointwise convergence rate transport inequality 
ISOMETRIC APPROXIMATIONS FROM UNIFORMLY SMOOTH SPACES INTO l_∞(Ⅰ') TYPE SPACES被引量：1
《Acta Mathematica Scientia》1989年第1期27-32,共6页Wang Risheng 
In this paper we’ve proved that if X is a uniformly smooth Banach space,then the IAP(isometric approximation problem)on the space B(X,l_(∞)(Γ))for some infinite index setΓis aftirmative if and only if dimX=l or∞....
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