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THE UNIQUENESS OF BIFURCATION TO SEPARATRIX LOOPS IN SUPERCRITICAL CASES

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Chinese Annals of mathematics,Series B 1994年第4期15卷 493-500页

作者： SUN JIANHUA (department of mathematics, Nanjing university, Nanjing 210008, china.) NANJING UNIV DEPT MATHNANJING 210008PEOPLES R CHINA

In paper[4]the existence of bifurcation to separatrir loops in supercritical cases on the planeis studied. This note is a continuation of [4].The author proves the uniqueness of limit cyclesin a neighborhood of the sa... 详细信息

关键词： Supercritical Separatrir loop Bifurcation Limit cycle Uniqueness.

A QUASI-NEWTON METHOD IN INFINITE-DIMENSIONAL SPACES AND ITS APPLICATION FOR SOLVING A PARABOLIC INVERSE PROBLEM

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Journal of Computational mathematics 1998年第4期16卷 305-318页

作者： Wen-huan Yu(department of mathematics, Tianjin university, Tianjin 300072, P.R. china.) Tianjin Univ Dept Math Tianjin 300072 Peoples R China

A Quasi-Newton method in Infinite-dimensional Spaces (QNIS) for solving operator equations is presellted and the convergence of a sequence generated by QNIS is also proved in the paper. Next, we suggest a finite-dimensional implementation of QNIS and prove that the sequence defined by the finite-dimensional algorithm converges to the root of the original operator equation providing that the later exists and that the Frechet derivative of the governing operator is invertible. Finally, we apply QNIS to an inverse problem for a parabolic differential equation to illustrate the efficiency of the finite-dimensional algorithm.

关键词： Quasi-Newton method parabolic differential equation inverse problems in partial differential equations linear and Q-superlinear rates of convergence

GLOBAL EXISTENCE AND ASYMPTOTICS BEHAVIOR OF SOLUTIONS FOR A RESONANT KLEIN-GORDON SYSTEM IN TWO SPACE DIMENSIONS

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Chinese Annals of mathematics,Series B 2005年第1期26卷 89-104页

作者： XUERUYING FANGDAOYUAN departmentofmathematics ZhejiangUniversityHangzhou310027China departmentofmathematics ZhejiangUniversityHangzhou310027China

The authors study a resonant Klein-Gordon system with convenient nonlinearities in two space dimensions, prove that such a system has global solutions for small, smooth,compactly supported Cauchy data, and find that t... 详细信息

关键词： Klein-Gordon equation Asymptotic behavior Global existence

GRAPH-DIRECTED STRUCTURES OFSELF-SIMILAR SETS WITH OVERLAPSGRAPH-DIRECTED STRUCTURES OFSELF-SIMILAR SETS WITH OVERLAPSS

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Chinese Annals of mathematics,Series B 2000年第4期21卷 403-412页

作者： HUASu RAOHUI departmentofmathematics TsinghuaUniversityBeijing100084China. departmentofmathematics WuhanUniversityWuhan430072China.

Some kinds of the self-similar sets with overlapping structures are studied by introducing the graph-directed constructions satisfying the open set condition that coincide with these sets. In this way, the dimensions ... 详细信息

关键词： Self-similar sets Graph-directed sets Overlapping Label Pisot number

EXISTENCE OF LIMIT CYCLES IN A MULTIPLY-CONNECTED REGION

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Chinese Annals of mathematics,Series B 1999年第2期20卷 169-172页

作者： ZHANG XIANG(department of mathematics, Naming Normal university, Naming 210097, china.) Nanjing Normal Univ Dept Math Nanjing 210097 Peoples R China

In this paper,a conjecture about the existence of limit cycles in a multiply-connected regionproposed by Ye Yanqian is proved.

关键词： Multiply-connected region Annulus theorem Limit cycle

SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS

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Chinese Annals of mathematics,Series B 2005年第4期26卷 651-658页

作者： WANG MENG department of mathematics, Zhejiang university, Hangzhou 310027, china.School of Mathematical Sciences, Pudan university, Shanghai 200433, china. department of mathematics Zhejiang University Hangzhou 310027 China. School of Mathematical Sciences Fudan University Shanghai 200433 China

Let M be an n dimensional complete Riemannian manifold satisfying the doublingvolume property and an on-diagonal heat kernel estimate. The necessary-sufficientcondition for the Sobolev inequality ‖f‖q ≤ Cn,,v,p,q(... 详细信息

关键词： Sobolev inequality Complete manifold Riesz transform Potential Heat kernel

FATOU　PROPERTY　ON　HARMONIC　MAPS　FROM　COMPLETE　MANIFOLDS　WITH　NONNEGATIVE　CURVATURE　AT　INFINITY　INTO　CONVEX　BALLS

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Chinese Annals of mathematics,Series B 1995年第3期16卷 341-350页

作者： YANG YIHU(department of mathematics,Fudan university,Shanghai 200433, china.) FUDAN UNIV DEPT MATHSHANGHAI 200433PEOPLES R CHINA

The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps ... 详细信息

关键词： Complete manifold Harmonic map Convex ball Fatou property.

SEMI-DEFINITE RELAXATION ALGORITHM FOR SINGLE MACHINE SCHEDULING WITH CONTROLLABLE PROCESSING TIMES

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Chinese Annals of mathematics,Series B 2005年第1期26卷 153-158页

作者： CHENFENG ZHANGLIANSHENG departmentofmathematics ShanghaiUniversityShanghai200436China／／DepartmentofIndustrialEngineeringandManagementShanghaiJiaotongUniversityShanghai200030China. departmentofmathematics ShanghaiUniversityShanghai200436China

The authors present a semi-definite relaxation algorithm for the scheduling problem with controllable times on a single machine. Their approach shows how to relate this problem with the maximum vertex-cover problem with kernel constraints (MKVC).The established relationship enables to transfer the approximate solutions of MKVCinto the approximate solutions for the scheduling problem. Then, they show how to obtain an integer approximate solution for MKVC based on the semi-definite relaxation and randomized rounding technique.

关键词： Scheduling with controllable times Semi-definite programming Approximation algorithm

DISTRIBUTION OF THE (0,∞) ACCUMULATIVE LINES OF MEROMORPHHIC FUNCTIONS

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Chinese Annals of mathematics,Series B 1994年第4期15卷 453-462页

作者： WU SHENGJIAN(department of mathematics, Beijing university,BeiJing 100871, china.) 北京大学数学系北京 100871

Suppose that f(z) is a meromorphic function of order and of lower order μin the plane. Let ρ be a positive number such that .(1) If f(l)(z) () has ρ() finite nonzero deficient values ai (i =1,…,p) with deficiencies δ(ai, f(l)), then f(z) has a (0, ∝) accumulative line of order inany angular domain whose vertex is at the origin and whose magnitude is larger than(2) If f(z) has only p ()(0, ∝) accumulative lines of order : arg z = θk (θ1<θ2…<θp<2π, θp+1 = θ1 + 2π), then , where , providedthat has a finite noasero deficient value.

关键词： Meromorphic function Accumulative line Order.