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LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (III)_(m=0) HAVING THREE ANTI-SADDLES (I)

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 167-174页

作者： YE YANQIAN department of Mathematics, nanjing university, nanjing 210008, china. 南京大学数学系江苏南京

For the quadratic system: x=-y+δx + lx2 + ny2, y=x(1+ax-y) under conditions -10 the author draws in the (a, ()) parameter plane the global bifurcationdiagram of trajectories around O(0,0). Notice that when na2+l < 0 ... 详细信息

关键词： Quadrtic systen Anti-saddle Bifurcation curve Limit cycle

A COLUMN RECURRENCE ALGORITHM FOR SOLVING LINEAR LEAST SQUARES PROBLEM

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Journal of Computational Mathematics 1996年第4期14卷 301-310页

作者： J.X. Zhao(department of Mathematics, nanjing university, nanjing china) nanjing UNIV DEPT MATHNANJING 210008PEOPLES R CHINA

A new column recurrence algorithm based on the classical Greville method and modified Huang update is proposed for computing generalized inverse matrix and least squares solution. The numerical results have shown the ... 详细信息

关键词： Math A COLUMN RECURRENCE ALGORITHM FOR SOLVING LINEAR LEAST SQUARES PROBLEM ABS

CHALLENGES AND PROBLEMS: china'S URBAN GOVERNANCE

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Chinese Geographical Science 2002年第2期12卷 152-156页

作者： WANG Hong, GU Chao lin(department of Urban and Resources Sciences, nanjing university, nanjing 210093, P.R.china) department of Urban and Resources Sciences Nanjing University Nanjing 210093 P. R. China

china′s urban reforms have brought social progress and development, but a comprehensive national system of social welfare (for example, unemployment insurance, pensions, medical care and public housing) for new migrants from rural areas is lacking. One of the most remarkable changes in Chinese cities in the last decade was a change in social "equality", with the rise of new poverty both in individual communities and some social groups in urban society. However, there is little social assistance and public infrastructure for the migrants. Governments or communities or individual should pay attention to the control of new urban poverty and new slums. This paper consider that it is necessary to launch a successful policy, which include mainly: 1) accommodating urban growth through low cost investment projects; 2) urban economy depends heavily on successful macroeconomic policy; 3) to broaden the three channels linking adjustment to the incidence of urban poverty; 4) to restructure urban economic based on the high or new technology; 5) to coordinate relationship between urban economic growth and environment management for sustainable development of Beijing′s metropolitan fringe.

关键词： urban challenges and problems urban governance urban policies

A MODIFIED PROJECTION AND CONTRACTION METHOD FOR A CLASS OF LINEAR COMPLEMENTARITY PROBLEMS

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Journal of Computational Mathematics 1996年第1期14卷 54-63页

作者： B.S. He(department of Mathematics, nanjing university, nanjing, china) nanjing UNIV DEPT MATHNANJING 210008PEOPLES R CHINA

Recently, we have proposed an iterative projection and contraction (PC) method for a class of linear complementarity problems (LCP)([4]). The method was showed to be globally convergent, but no statement could be made about the rate of convergence. In this paper, we develop a modified globally linearly convergent PC method for linear complementarity problems. Both the method and the convergence proofs are very simple. The method can also be used to solve some linear variational inequalities. Several computational experiments are presented to indicate that the method is surprising good for solving some known difficult problems.

关键词： Th Pn A MODIFIED PROJECTION AND CONTRACTION METHOD FOR A CLASS OF LINEAR COMPLEMENTARITY PROBLEMS II

Proof of inseparable prime C~*-algebras A with RR(A)=0 being primitive C~*-algebras

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Chinese Science Bulletin 1999年第8期44卷 688-690页

作者： ZHANG Lunchuan and MA Jipudepartment of Mathematics , Beijing Normal university , Beijing 100875, china department of Mathematics , nanjing university, nanjing 210093, china department of Mathematics Beijing Normal University Beijing China department of Mathematics Nanjing University Nanjing China

First, that prime C~* -algebras with countable primitive ideals are all primitive C*-algebras is proved. Then the proof that prime C~* -algebras with property RR(A) = 0 are all primitive C~*-algebras is given.

关键词： prime C~*-algebras primitive C~*-algebras hereditary C~*-algebras open projection and close projection.

QUASI-LOCAL CONJUGACY THEOREMS IN BANACH SPACES

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Chinese Annals of Mathematics 2005年第4期 64-71页

作者： ZHANG WEIRONG MA JIPU department of Mathematics, nanjing university, nanjing 210093, china. department of Mathematics, nanjing university, nanjing 210093, china. department of Mathematics nanjing university nanjing 210093 china.

Let f : U(x0) (?) E→F be a. C1 map and f’(X0) be the Prechet derivative of /fat X0. In local analysis of nonlinear functional analysis, implicit function theorem, inverse function theorem, local surjectivity theorem, local injectivity theorem, and the local conjugacy theorem are well known. Those theorems are established by using the properties: f’(x0) is double splitting and R(f’(x))∩N(T0+) = {0} near X0. However, in infinite dimensional Banach spaces, f’(x0) is not always double splitting (i.e., the generalized inverse of f’(xo) does not always exist), but its bounded outer inverse of f’(x0) always exists. Only using the C1 map f and the outer inverse T0# of f’(x0), the authors obtain two quasi-local conjugacy theorems, which imply the local conjugacy theorem if X0 is a locally fine point of f. Hence the quasi-local conjugacy theorems generalize the local conjugacy theorem in Banach spaces.

关键词： Frediet derivative Quasi-local conjugacy theorems Outer inverse Local conjugacy theorem

Discovery of Corallina fossil from the Middle Cambrian of Taijiang County, Guizhou Province, china

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Chinese Science Bulletin 2000年第6期45卷 544-547页

作者： YANG Ruidong & ZHAO Yuanlong department of Earth Sciences, nanjing university, nanjing 210093, china department of Resources, Guizhou university of Technoiogy, Guiyang 550002, china department of Earth Sciences Nanjing University Nanjing China department of Resources Guizhou University of Technology Guiyang China

Abundant and well-preserved macroalgae fossils have been discovered in silty mudstones and shales from the Middle Cambrian of Taijiang County, Guizhou Province, china. Corallina Paraamphiroa siniansis gen. et sp. nov. in the Kaili Fm., is the earliest Corallina fossil, which usually coexists with other carbonaceous macroalgae fossils on the bedding planes of mudstone and shale and is different from the calcareous and phosphatized Precambrian-Cambrian thallus discovered in the Lower Cambrian of Siberia and the Doushantou phosphate rocks of Weng’an County, Guizhou Province, china. The discovery of calcified thallus in the Kaili Fm. bears great importance on the study of phylogeny and evolution of early calcareous macroalgae.

关键词： Corallina Middle Cambrian Guizhou Province china.

On the variational principle for the topological pressure for certain non-compact sets

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Science china Mathematics 2010年第4期53卷 1117-1128页

作者： PEI Yu 1 & CHEN ErCai 1,2,1 department of Mathematics,nanjing Normal university,nanjing 210097,china 2 Center for Nonlinear Science,nanjing university,nanjing 210093,china 1. department of Mathematics Nanjing Normal University Nanjing 210097 China2. Center for Nonlinear Science Nanjing University Nanjing 210093 China

Let (X,d,T) be a dynamical system,where (X,d) is a compact metric space and T:X → X is a continuous *** assume that the dynamical system satisfies g-almost product property and the uniform separation *** compute the topological pressure of saturated sets under these two *** the uniform separation property does not hold,we compute the topological pressure of the set of generic *** give an application of these results to multifractal analysis and finally get a conditional variational principle.

关键词： uniform separation property g-almost product property topological pressure of non-compact sets variational principle BS-dinmension

ULTRASONICALLY　DISPERSED　POTASSIUM　AS　DEPROTONATING　AND　COUPLING　AGENT──SYNTHESIS　OF　1，6－DINITRILES　IN　SITU

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Chinese Chemical Letters 1996年第8期7卷 709-712页

作者： Li Xin WANG Ming Hua XU Yao Zeng SHI and Hong Wen HU(department of chemistry. nanjing university, nanjing, 210093) nanjing UNIV DEPT CHEMNANJING 210093PEOPLES R CHINA

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