本刊英文版Vol.30(2014),No.1论文摘要

<正>Analysis on a Superlinearly Convergent Augmented Lagrangian Method Ya Xiang YUAN Abstract The augmented Lagrangian method is a classical method for solving constrained optimization.Recently,the augmented Lagrangian method attracts much attention due to its applications to sparse optimization in compressive sensing and low rank matrix optimization problems.However,most Lagrangian methods use first order information to update the Lagrange multipliers,which lead to only linear convergence.In this paper,we study an update technique     

本刊英文版Vol.29(2013),No.3论文摘要

<正>The Discrete Subgroups and Jφrgensen's Inequality for SL(m,C_p) Wei Yuan QIUJing Hua YANGYong Cheng YIN Abstract In this paper,we give discreteness criteria of subgroups of the special linear group on Q_p or C_p in two and higher dimensions.Jφrgensen's inequality gives a necessary condition for a non-elementary group of Mbius transformations to be discrete.We give a version     

本刊英文版Vol.28(2012),No.11论文摘要

<正>Generalized Maupertuis' Principle with Applications Wei CHENG Abstract We give a rigorous proof of the equivalence of Mane's supercritical potential and the minimal action with respect to an associated Jacobi-Finsler metric.As a consequence, we give an explicit representation of the weak KAM solutions of one-dimensional mechanical systems without the quadratic assumption on the kinetic energy term of the Hamiltonians,and a criterion of the integrability result for such a system of arbitrary degree of freedom by the regularity assumption on Mather'sα-function is discussed.     

本刊英文版Vol.27(2011),No.2论文摘要(英文)

<正>~~     

本刊英文版Vol.25(2009),No.11论文摘要

<正>On Integrable Roots in Split Lie Triple Systems A.J.CALDERON MARTIN We focus on the notion of an integrable root in the framework of split Lie triple systems T with a coherent 0-root space.As a main result,it is shown that if T has all its nonzero roots integrable,then its standard embedding is a split Lie algebra having all its nonzero roots     

本刊英文版Vol.26(2010),No.2论文摘要

<正>The bubble tree compactified instanton moduli space M_κ(X) is introduced.Its singularity set Sing_κ(X) is described.By the standard gluing theory,one can show that M_κ(X)-Sing_κ(X) is a topological orbifold.In this paper,we give an argument to construct smooth structures on it.     

本刊英文版Vol.27(2011),No.1论文摘要(英文)

<正>~~     

本刊英文版Vol.28(2012),No.12论文摘要

<正>Nordhaus-Gaddum Results for the Sum of the Induced Path Number of a Graph and Its Complement Johannes H.HATTINGH Lucas C.VAN DER MERWE Ossama A.SALEH Terry J.WALTERS     

本刊英文版Vol.25(2009),No.12论文摘要

<正>Pfaffians and Representations of the Symmetric Group Alain LASCOUX Pfaffians of matrices with entries z[i,j]/(x_i+x_j),or determinants of matrices with entries z[i,j]/(x_i-x_j),where the antisymmetrical indeterminates z[i,j]satisfy the Pl_(u|¨)cker relations,can be identified with a trace in an irreducible representation of a product of two     

本刊英文版Vol.26(2010),No.1论文摘要

<正>In this paper,we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view.We introduce a class of new objects"virtual manifolds/orbifolds",on which we develop the integration theory.In particular, the virtuallocalization formula is obtained.     

本刊英文版Vol.27(2011),No.12论文摘要

<正>Abstract In the "lost notebook",Ramanujan recorded infinite product expansions for 1/r~(1/2)-((1-5~(1/2))/2)r~(1/2) and 1/r~(1/2)-((1+5~(1/2))/2)r~(1/2), where r = r(q) is the Rogers-Ramanujan continued fraction.We shall give analogues of these results that involve Ramanujan's function k = k(q) = r(q)r~2(q~2).     

本刊英文版Vol.27(2011),No.6论文摘要

<正>New Algebraic Approaches to Classical Boundary Layer Problems Xiao Ping XU Abstract Classical non-steady boundary layer equations are fundamental nonlinear partial differential equations in the boundary layer theory of fluid dynamics.In this paper,we introduce various schemes with multiple parameter functions to solve these equations and obtain many families of new explicit exact solutions with multiple parameter functions.Moreover,symmetry transformations are used to simplify our arguments.The technique of moving frame is applied in the three-dimensional case in order to capture the rotational properties of the fluid.In     

本刊英文版Vol.27(2011),No.5论文摘要

<正>Finiteness of Mapping Degree Sets for 3-Manifilds Pierre DERBEZ Hong Bin SUN Shi Cheng WANG Abstract By constructing certain maps,this note completes the answer of the question:For which closed orientable 3-manifold N,is the set of mapping degrees D(M,N) finite for any closed orientable 3-manifold M?     

本刊英文版Vol.28(2012),No.5论文摘要

<正>On Tame Operators betWeen Non-Archimedean PoWer Series Spaces Wiestaw SLIWA Agnieszka ZIEMKOWSKA Abstract Let P∈{1,∞).We show that any continuous linear operator T from A1(a)to Ap(b)is tame,i.e.,there exists a positive integer C such that supx‖Tx‖k/|x|ck〈∞for every k∈N.Next we prove that a similar result holds for operators from A∞(a)to Ap(b)if and only if the set M_(b,a) of all finite limit points of the double sequence(bi/aj)i,jeN is bounded.Finally we show that the range of every tame operator from A∞(a)to Ao∞(b)has a Schauder basis.     

本刊英文版Vol.27(2011),No.7论文摘要

<正>A Semilinear Elliptic Equation with Double Resonance Mei Yue JIANG Ming Zheng SUN Abstract In this paper,the existence and multiplicity of a class of double resonant semilinear elliptic equations with the Dirichlet boundary value are studied. Asymptotic Formulae for Multivariate Kantorovich Type Generalized Sampling Series     

本刊英文版Vol.27(2011),No.8论文摘要

<正>Schrdinger Soliton from Lorentzian Manifolds Chong SONG You De WANG Abstract In this paper,we introduce a new notion named as Schrdinger soliton.The socalled Schrdinger solitons are a class of solitary wave solutions to the Schrdinger flow equation from a Riemannian manifold or a Lorentzian manifold M into a Khler manifold N.If the target manifold N admits a Killing potential,then the Schrdinger soliton reduces to a harmonic     

本刊英文版Vol.27(2011),No.11论文摘要

<正>For a bipartite graph G on m and n vertices,respectively,in its vertices classes, and for integers s and t such that 2≤s≤t,0≤m-s≤n-t,and m+n≤2s+t-1,we prove that if G has at least mn -(2(m - s) + n - t) edges then it contains a subdivision of the complete bipartite K_((s,t)) with s vertices in the m-class and t vertices in the n-class.Furthermore, we characterize the corresponding extremal bipartite graphs with mn -(2(m - s) + n - t + 1) edges for this topological Turan type problem.     

本刊英文版Vol.28(2012),No.2论文摘要(英文)

<正>~~     

本刊英文版Vol.28(2012),No.6论文摘要

<正>Further Bounds for Hardy Type Differences Kristina KRULIC Josip PECARIC Dora POKAZ Abstract In this paper we define a functional as a difference between the right—hand side and left—hand side of the refined Boas type inequality using the notation of superquadratic and subquadratic functions and study its properties,such as exponential and logarithmic convexity. We also,state and prove improvements and reverses of new weighted Boas type inequalities.As     

本刊英文版Vol.21(2005),No.4论文摘要(英文)

Suppose that G is a finite group and D（G） the double algebra of G. For a given subgroup H of G, there is a sub-Hopf algebra D（G; H） of D（G）. This paper gives the concrete construction of a D（G; H）-invariant subspace AH in field algebra of G-spin model and proves that if H is a normal subgroup of G, then AH is Galois closed.