本刊英文版Vol.27(2011),No.1论文摘要(英文)

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本刊英文版Vol.27(2011),No.9论文摘要(英文)

<正>Graphs Whose Critical Groups Have Larger Rank Yao Ping HOU Wai Chee SHIU Wai Hong CHAN Abstract The critical group C(G) of a graph G is a refinement of the number of spanning trees of the graph and is closely connected with the Laplacian matrix.Let r(G) be the minimum number of generators(i.e.,the rank) of the group C(G) andβ(G) be the number of independent     

本刊英文版Vol.27(2011),No.4论文摘要(英文)

<正>Distribution of a Certain Partition Function Modulo Powers of Primes Hei-Chi CHAN Abstract In this paper,we study a certain partition function a(n) defined by∑_n≥0 a(n)q~n :=П_(n=1)(1 - q~n)~(-1)(1 - q~(2n)~(-1).We prove that given a positive integer j≥1 and a prime m≥5, there are infinitely many congruences of the type a(An + B)≡0(mod m~j).This work is inspired by Ono's ground breaking result in the study of the distribution of the partition function p(n).     

本刊英文版Vol.27(2011),No.3论文摘要(英文)

<正>Group Connectivity and Group Colorings of Graphs—A Survey Hong-Jian LAI Xiangwen LI Yehong SHAO Mingquan ZHAN Abstract In 1950s,Tutte introduced the theory of nowhere-zero flows as a tool to investigate the coloring problem of maps,together with his most fascinating conjectures on nowhere-zero flows.These have been extended by Jaeger et al.in 1992 to group connectivity,the nonhomogeneous form of nowhere-zero flows.Let G be a 2-edge-connected undirected graph,A be an (additive) abelian group and A* = A - {0}.The graph G is A-connected if G has an orientation D(G) such that for every map b:V(G)(?) A satisfying∑_(v∈V(G)) b(v) = 0,there is a function f:E(G)(?) A* such that for each vertex v∈V(G),the total amount of f-values on the edges directed out from v minus the total amount of f-values on the edges directed into v is equal to     

本刊英文版Vol.27(2011),No.10论文摘要(英文)

<正>On the Boundedness of Rough Oscillatory Singular Integrals on Triebel-Lizorkin Spaces Hussain AL-QASSEM Leslie CHENG Yi Biao PAN Abstract We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory integrals with polynomial phase.By using these bounds and using an extrapolation argument we obtain some new and previously known results for oscillatory integrals under very weak size conditions on the kernel functions.     

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.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.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.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.30(2014),No.2论文摘要

<正>Subordination in the Sense of Bochner of L~p-semigroups and Associated Markov Processes Oana LUPASCU Abstract We show that the subordination induced by a convolution semigroup(subordination in the sense of Bochner)of a C_0-semigroup of sub-Markovian operators on an L~p space is actually associated to the subordination of a right(Markov)process.As a consequence,we solve the martingale problem associate with the Lp-infinitesimal generator of the subordinate semigroup.We also prove quasi continuity properties for the elements of the domain of the     

本刊英文版Vol.28(2012),No.2论文摘要(英文)

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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.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.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.     

本刊英文版Vol.28(2012),No.7论文摘要(英文)

<正>Exponential Polynomials as Solutions of Certain Nonlinear Difference Equations Zhi Tao WEN Janne HEITTOKANGAS Ilpo LAINE Abstract Recently,C.-C.Yang and I.Laine have investigated finite order entire solutions     

本刊英文版Vol.26(2010),No.11论文摘要(英文)

<正>On Relations of Vector Optimization Results with C~(1,1) Data Dusan BEDNARIK Karel PASTOR Abstract In this article we prove that some of the sufficient and necessary optimality conditions obtained by Ginchev,Guerraggio,Luc[Appl.Math.,51,5-36(2006)]generalize (strictly) those presented by Guerraggio,Luc[J.Optim.Theory Appl.,109,615-629(2001)]. While the former paper shows examples for which the conditions given there are effective but the ones from the latter paper fail,it does not prove that generally the conditions it proposes are stronger.In the present note we complete this comparison with the lacking proof.