检索结果-南通市图书馆

The Cauchy problem about Dirac-wave map from the 2-dimension Minkowski space to a complete Riemannian manifold

在线全文

学校读者我要写书评

暂无评论

Science china.mathematics 2007年第6期50卷 859-874页

作者： Yan ZHANG School of Statistics and mathematics , Zhejiang Gongshang university, hangzhou 310018, china.department of Physics, Zhejiang university, hangzhou 310027, china 1. School of Statistics and mathematics Zhejiang Gongshang University Hangzhou 310018 China 2. department of Physics Zhejiang University Hangzhou 310027 China

When a target manifold is complete with a bounded curvature, we prove that there exists a unique global solution which satisfies the Euler-lagrange equation of for the given Cauchy data.

关键词： Dirac-wave map nonlinear σ-model spin bundle harmonic map 53C43

The best quadrature based on given Hermite information for the Sobolev class KW^r[a,b]

在线全文

学校读者我要写书评

暂无评论

Science china.mathematics 2006年第8期49卷 1146-1152页

作者： WANG Xinghua & YANG Shijun department of mathematics, Zhejiang university, hangzhou 310028, china.department of mathematics, hangzhou Normal College, hangzhou 310036, china department of mathematics Zhejiang University Hangzhou 310028 China department of mathematics Hangzhou Normal College Hangzhou 310036 China

As usual, denote by KWr[a,b] the Sobolev class consisting of every function whose (r-1)th derivative is absolutely continuous on the interval [a,b] and rth derivative is bounded by K a.e. In [a,b]. For a function f ∈ KWr[a,b], its values and derivatives up to r-1 order at a set of nodes x are known. These values are said to be the given Hermite *** work reports the results on the best quadrature based on the given Hermite information for the class KWr[a,b]. Existence and concrete construction issue of the best quadrature are settled down by a perfect spline interpolation. It turns out that the best quadrature depends on a system of algebraic equations satisfied by a set of free nodes of the interpolation perfect spline. From our another new result, it is shown that the system can be converted in a closed form to two single-variable polynomial equations, each being of degree approximately r/2. As a by-product,the best interpolation formula for the class KWr[a,b] is also obtained.

关键词： Sobolev class, Hermite information, perfect spline, optimal recovery, best quadrature.

The Cauchy Integral Operator on Weighted Hardy Space

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2010年第4期31卷 461-472页

作者： Jianmiao RUAN Jiecheng CHEN department of mathematics Zhejiang University Hangzhou 310027 China department of mathematics Zhejiang Education Institute Hangzhou 310012 China

The authors show that the Cauchy integral operator is bounded from Hωp(R1) to hωp(R1) (the weighted local Hardy space). To prove the results, a kind of generalized atoms is introduced and a variant of weighted "Tb t... 详细信息

关键词： Cauchy integral Calder6n-Zygmund operator Weighted Hardy space Weighted local Hardy space

Control problems of an age-dependentpredator-prey system

在线全文

学校读者我要写书评

暂无评论

Applied mathematics(A Journal of Chinese Universities) 2009年第3期24卷 253-262页

作者： HE Ze-rong WANG Hai-tao Institute of Operational Research and Cybernetics,hangzhou dianzi university,hangzhou 310018,china Institute of Operational Research and Cybernetics Hangzhou Dianzi University Hangzhou 310018 China

This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey. Existence and uniquenessof non-negative solutions to the system and the continuous dependence of solutions on controlvariables are investigated. Existence of optimal policy is discussed, optimality conditions arederived by means of normal cone and adjoint system techniques.

关键词： predator-prey optimal control species age-structure maximum principle

HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1996年第2期17卷 245-256页

作者： Wu SHAOPING departmentof mathematics, Zhejiang university, hangzhou, 310027, china. ZHEJIANG UNIV DEPT MATHHANGZHOU 310027PEOPLES R CHINA

The existence of at least two homoclinic orbits for Lagrangian system (LS) is proved, wherethe Lagrangian L(t,x,y) =1/2∑aij(x)yiyj-V(t, x), in which the potential V(t,x) is globallysurperquadratic in x and T-periodic... 详细信息

关键词： Lagrangian systerm Superquadratic growth Concentration-compactness Minimax argument

NONTRIVIAL SOLUTION OF A NONLINEAR SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM

在线全文

学校读者我要写书评

暂无评论

Applied mathematics(A Journal of Chinese Universities) 2007年第1期22卷 37-47页

作者： Li Shuhong Sun Yongping department of mathematics, Lishui university, Lishui 323000,china.department of Applied mathematics, Zhejiang Sci-Tec university, hangzhou 310018, china.department of Electron and Information, Zhejiang university of Media and Communications, hangzhou 310018, china. department of mathematics Lishui University Lishui China department of Applied mathematics Zhejiang Sci-Tec University Hangzhou China department of Electron and Information Zhejiang University of Media and Communications Hangzhou China

In this paper, for a second-order three-point boundary value problem u″＋f（t,u）=0,0〈t〈1,au（0）-bu′（0）=0,u（1）-au（η）=0,where η∈ （0, 1）, a, b, α ∈R with a^2 ＋ b^2 〉 0, the existence of its nontrivial solution is studied. The＇conditions on f which guarantee the existence of nontrivial solution are formulated. As an application, some examples to demonstrate the results are given.

关键词： three-point boundary value problem nonlinear alternative of Leray-Schauder, nontrivial solution.

THE CONVERGENCE ON A FAMILY OF ITERATIONS WITH CUBIC ORDER

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 2001年第5期19卷 467-474页

作者： Dan-fu Han (department of mathematics, Zhejiang university, hangzhou 310028, china. 浙江大学浙江杭州 310028

Establishes a convergent theorem for a family of iterations with cubic order by using general convergence hypotheses. Disadvantage of using the cubic majorizing function; Convergence of the majorizing sequence; Overvi... 详细信息

关键词： convergence majorizing method gamma-condition error estimate

On solving equations of algebraic sum of equal powers

在线全文

学校读者我要写书评

暂无评论

Science china.mathematics 2006年第9期49卷 1153-1157页

It is well known that a system of equations of sum of equal powers can be converted to an algebraic equation of higher degree via Newton's identities. This is the Viete-Newton theorem. This work reports the generalizations of the Viete-Newton theorem to a system of equations of algebraic sum of equal powers. By exploiting some facts from algebra and combinatorics,it is shown that a system of equations of algebraic sum of equal powers can be converted in a closed form to two algebraic equations, whose degree sum equals the number of unknowns of the system of equations of algebraic sum of equal powers.

关键词： algebraic sum of equal powers, Newton's identities, system of equations,roots of a polynomial.

A SIMPLE FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 1994年第1期12卷 46-54页

作者： Cheng Xiao-liang (department of mathematics, hangzhou university, hangzhou, Zhejiang, china. hangzhou UNIV DEPT MATHHANGZHOUPEOPLES R CHINA

A simple finite element method for the Reissner-Mindlin plate model in the primitive variables is presented and analyzed. The method uses conforming linear finite elements for both the transverse displacement and rotation. It is proved that the method converges with optimal order uniformly with respect to *** is simpler and more economical than the Arnold-Falk element[1].

关键词： Math A SIMPLE FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE IV