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| 1 | A NEW REGULARITY CLASS FOR THE NAVIER-STOKES EQUATIONS IN IR^n显示文摘ANEWREGULARITYCLASSFORTHENAVIER-STOKESEQUATIONSINIR~n￥H.BEIRaODAVEIGA(DepotmentofMathematics,PisaUniversity,Pisa,Italy)Abstra?.. | H. BEIRaO DA VEIGA (Department of Mathematics, Pisa University, Pisa, Italy) | 1995 | Chinese Annals of Mathematics,Series B1995，16，4： | 38 |
| 2 | THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS显示文摘The authors obtain the growth and covering theorem for the class of normalized biholomorphic starlike mappings on bounded starlike circular domains.This type of domain discussed is rather general, since the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it. In the unit disc, it is just the famous growth and covering theorem for univalent functions.This theorem successfully realizes the initial idea of H. Cartan about how to extend geometric function theory from one variable to several complex variables. | LIU TAISHUN (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)REN GUANGBIN (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China) | 1998 | Chinese Annals of Mathematics,Series B1998，19，4： | 39 |
| 3 | TRAVELING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR DISPERSIVE EQUATIONS显示文摘The method of the phase plane is emploied to investigate the solitary and periodic traveling waves for a class of nonlinear dispersive partial differential equations.By using the bifurcation theory of dynamical systems to do qualitative analysis,all possible phase portraits in the parametric space for the traveling wave systems are obtained.It can be shown that the existence of a singular straight line in the traveling wave system is the reason why smooth solitary wave solutions converge to solitary cusp wave solution when parameters are varied.The different parameter conditions for the existence of solitary and periodic wave solutions of different kinds are rigorously determined. | LIJIBIN LIUZHENGRONG | 2002 | Chinese Annals of Mathematics,Series B2002，23，3： | 38 |
| 4 | ON THE HYPER ORDER OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS显示文摘The author investigates the hyper order of solutions of the higher order linear equation, andimproves the results of M. Ozawa[15], G. Gundersen[6] and J. K. Langley[12]. | CHEN ZONGXUAN Department of Mathematics, Jiangxi Normai University, Nanchang 330027, China. Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China. | 2003 | Chinese Annals of Mathematics,Series B2003，24，4： | 34 |
| 5 | LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS显示文摘For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary controllability for a kind of nonlinear vibrating string problem. | LI TA-TSIEN RAO ВOPENG | 2002 | Chinese Annals of Mathematics,Series B2002，23，2： | 29 |
| 6 | SEMI-GLOBAL C^1 SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS显示文摘By means of an equivalent invariant form of boundary conditions, the authors get the exis- tence and uniqueness of semi-global C1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems with general nonlinear boundary conditions. | LI TA-TSIEN (LI DAQIAN), JIN YI Department of Mathematics, Fudan University, Shanghai 200433, China. | 2001 | Chinese Annals of Mathematics,Series B2001，22，3： | 30 |
| 7 | (1.2)INVERSES OF OPERATORS BETWEEN BANACH SPACES AND LOCAL CONJUGACY THEOREM显示文摘1.(1.2)InverseandLocalFinePropertyofaFamilyofOperatorsTxLetEandFbebothBanachspaces,andB(E,F)thesetofallboundedlinearoperatorsfromEintoFAnoperatorT+B(F,E)issaidtobea(1.2)inverseofTifTT+T=TandT+TT+=T+.IfT+satisfiesonlythefirstcondition,thenT+issaidtobe... | MA JIPU(Department of Mathematics,Nanjing University,Nanjing 210093,China) | 1999 | Chinese Annals of Mathematics,Series B1999，20，1： | 27 |
| 8 | INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES显示文摘INITIALVALUEPROBLEMSFORSECONDORDERIMPULSIVEINTEGRO┐DIFFERENTIALEQUATIONSINBANACHSPACES**GUODAJUN*AbstractManuscriptreceivedJu... | GUO DAJUN *Department of Mathematics,Shandong Universty,Jinan 250100,Shandong,China. **Project supported by the National Natural Science Foundation of China and the Doctoral Program Foundation of the State Education Commission of China. | 1997 | Chinese Annals of Mathematics,Series B1997，18，4： | 28 |
| 9 | NONLINEAR EXPECTATIONS AND NONLINEAR MARKOV CHAINS显示文摘This paper deals with nonlinear expectations. The author obtains a nonlinear gen- eralization of the well-known Kolmogorov’s consistent theorem and then use it to con- struct ?ltration-consistent nonlinear expectations via nonlinear Markov chains. Com- pared to the author’s previous results, i.e., the theory of g-expectations introduced via BSDE on a probability space, the present framework is not based on a given probabil- ity measure. Many fully nonlinear and singular situations are covered. The induced topology is a natural generalization of Lp-norms and L∞-norm in linear situations. The author also obtains the existence and uniqueness result of BSDE under this new framework and develops a nonlinear type of von Neumann-Morgenstern representation theorem to utilities and present dynamic risk measures. | PENG Shige | 2005 | Chinese Annals of Mathematics,Series B2005，26，2： | 27 |
| 10 | Riemann-Finsler Geometry with Applications to Information Geometry显示文摘信息几何学是在数学的一个新分支,从微分几何学的应用发源到统计。在这篇论文我们简短 introduceRiemann-Finsler 几何学,我们在一个宽广得多的底上由建立信息几何学,以便信息几何学的潜在的应用将在统计以外。 | Zhongmin SHEN | 2006 | Chinese Annals of Mathematics,Series B2006，27，1： | 27 |
| 11 | METRIC GENERALIZED INVERSE OF LINEAR OPERATOR IN BANACH SPACE显示文摘The Moore-Penrose metric generalized inverse T+ of linear operator T in Banach spaceis systematically investigated in this paper. Unlike the case in Hilbert space, even T is alinear operator in Banach Space, the Moore-Penrose metric generalized inverse T+ is usuallyhomogeneous and nonlinear in general. By means of the methods of geometry of Banach Space,the necessary and sufficient conditions for existence, continuity, linearity and minimum propertyof the Moore-Penrose metric generalized inverse T+ will be given, and some properties of T+will be investigated in this paper. | WANGHUI WANGYUWEN | 2003 | Chinese Annals of Mathematics,Series B2003，24，4： | 27 |
| 12 | ON JENSEN'S INEQUALITY FOR g-EXPECTATION显示文摘Briand et al. gave a counterexample showing that given g, Jensen's inequality for g-expectation usually does not hold in general This paper proves that Jensen's inequality for g-expectation holds in general if and only if the generator g (t, z) is super-homogeneous in z. In particular, g is not necessarily convex in z. | JIANG LONG CHEN ZENGJING School of Mathematics and System Sciences, Shandong University, Jinan 250100, China. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, Jiangsu,China. E-mail: jianglong@math.sdu.edu.cn School of Mathematics and System Sciences, Shandong University, Jinan 250100, China. | 2004 | Chinese Annals of Mathematics,Series B2004，25，3： | 26 |
| 13 | BERGMAN TYPE OPERATOR ON MIXED NORM SPACES WITH APPLICATIONS显示文摘BERGMANTYPEOPERATORONMIXEDNORMSPACESWITHAPPLICATIONSRENGUANGBINSHIJIHUAIAbstractTheauthorsinvestigatetheconditionsforthebou... | REN GUANGBIN * SHI JIHUAI * | 1997 | Chinese Annals of Mathematics,Series B1997，18，3： | 26 |
| 14 | Sharp Growth Theorems and Coefficient Bounds for Starlike Mappings in Several Complex Variables显示文摘让 B 是在一个复杂 Banach 空格的联合起来的球。让 S k+1 *(B) 是 B 上的规范的星形的地图砰 f 的家庭以便 0 是的 z = f (z)-z 的零顺序 k+1。作者突然地获得生长和盖住的定理,以及锋利的系数为 S k+1 *(B) 。 | Hidetaka HAMADA Tatsuhiro HONDA | 2008 | Chinese Annals of Mathematics,Series B2008，29，4： | 26 |
| 15 | Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions显示文摘在这篇论文,作者为半考虑 Cauchy 问题有在 n ≥的批评代表的线性波浪方程 4 种空间尺寸。在起始的数据上的一些确实条件下面,不能有全球解决方案,这被证明不管起始的数据怎么小。 | Yi ZHOU | 2007 | Chinese Annals of Mathematics,Series B2007，28，2： | 22 |
| 16 | Hausdorff Operators on Function Spaces显示文摘The authors mainly study the Hausdorff operators on Euclidean space R^n. They establish boundedness of the Hausdorff operators in various function spaces, such as Lebesgue spaces, Hardy spaces, local Hardy spaces and Herz type spaces. The results reveal that the Hausdorff operators have better performance on the Herz type Hardy spaces H Kα,pq (R^n) than their performance on the Hardy spaces H^p(R^n) when 0 < p < 1. Also, the authors obtain some new results and reprove or generalize some known results for the high dimensional Hardy operator and adjoint Hardy operator. | Jiecheng CHEN Dashan FAN Jun LI | 2012 | Chinese Annals of Mathematics,Series B2012，33，4： | 23 |
| 17 | A PICARD TYPE THEOREM AND BLOCH LAW显示文摘A PICARD TYPE THEOREM AND BLOCH LAW ￥YEYASHENGAbstract:Apicardtypetheoremisproved,andacounterexampleisgiventoshowthattheBolch... | YE YASHENG | 1994 | Chinese Annals of Mathematics,Series B1994，15，1： | 21 |
| 18 | OSCILLATION OF NONLINEAR IMPULSIVE PARABOLIC DIFFERENTIAL EQUATIONS WITH SEVERAL DELAYS显示文摘In this paper, oscillatory properties for solutions of certain nonlinear impulsive parabolic equations with several delays are investigated and a series of new sufficient conditions for oscillations of the equation are established. | CuiChenpei ZouMin LiuAnping XiaoLi | 2005 | Annals of Differential Equations2005，21，1： | 20 |
| 19 | A CLASS OF STRONGLY NONLINEAR SINGULARLY PERTURBED INTERIOR LAYER PROBLEMS显示文摘In this paper, a class of strongly nonlinear singularly perturbed interior layer problems are considered by the theory of differential inequalities and the corrective theory of interior layer. The existence of solution is proved and the asymptotic behavior of solution for the boundary value problems are studied. And the satisfying result is obtained. | 唐荣荣 | 2004 | Annals of Differential Equations2004，20，3： | 19 |
| 20 | DISTORTION THEOREMS FOR BIHOLOMORPHICCONVEX MAPPINGS ON BOUNDEDCONVEX CIRCULAR DOMAINS显示文摘In terms of Caratheodory metric and Kobayashi metric, distortion theorems for biholomorphic convex mappings on bounded circular convex domains are given. | GONGSHENG LIUTAISHUN | 1999 | Chinese Annals of Mathematics,Series B1999，20，3： | 19 |
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