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.28(2012),No.2论文摘要(英文)

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本刊英文版Vol.28(2012),No.4论文摘要(英文)

<正>On a Variant of Giuga Numbers Jose Maria GRAU Florian LUCA Antonio M.OLLER-MARCEN In this paper,we characterize the odd positive integers n satisfying the congruence∑_(j=1)~(n-1) j~((n-1)/2) = 0(rood n).We show that the set of such positive integers has an asymptotic density which turns out to be slightly larger than 3/8.     

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.28(2012),No.3论文摘要(英文)

<正>Closed 3-stop Center and Periphery in Graphs Linda EROH Ralucca GERA Steven J.WINTERS A delivery person must leave the central location of the business,deliver packages at a number of addresses,and then return.Naturally,he/she wishes to reduce costs by finding the most efficient route.This motivates the following: Given a set of k distinct vertices S = {x_1,x_2,…,x_k} in a simple graph G,the closed k-stop-distance of set S is defined to be     

本刊英文版Vol.28(2012),No.8论文摘要(英文)

<正>Estimating Complex Covariance by Observing Two Variables at a Time C.S.WITHERS S.NADARAJAH O.NφRKLI R.RAICH R.G.VAUGHAN     

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.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.     

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.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.26(2010),No.3论文摘要(英文)

<正>A Decomposition Theorem for G-GroupsⅠ.LIZASOAIN Some classical results about linear representations of a finite group G have been also proved for representations of G on non-abelian groups(G-groups).In this paper we establish a decomposition theorem for irreducible G-groups which expresses a suitable irreducible G-group as a tensor product of two projective G-groups in a similar way to the celebrated theorem of Clifford for linear representations.Moreover,we study the non-abelian minimal normal subgroups of G in which this decomposition is possible.     

本刊英文版Vol.26(2010),No.4论文摘要(英文)

<正>Multi-parameter Triebel-Lizorkin and Besov Spaces Associated with Flag Singular Integrals Yong DING Guo Zhen LU Bo Lin MA Though the theory of one-parameter Triebel-Lizorkin and Besov spaces has been very well developed in the past decades,the multi-parameter counterpart of such a theory is still absent.The main purpose of this paper is to develop a theory of multi-parameter Triebel-     

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.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.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.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?