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高校应用数学学报B辑（英文版）
高校应用数学学报B辑（英文版）

李大潜 林正炎

季刊

1005-1031

amjcu@zju.edu.cn；amjcu@126.com；amjcu@sohu.com

0571-87951602

310027

杭州市玉泉浙江大学数学系

高校应用数学学报B辑（英文版）/Journal Applied Mathematics A Journal of Chinese Universities，BCSCD北大核心SCI
查看更多>>本刊是综合性的应用数学刊物，侧重刊登数学与其它学科交叉渗透方面的研究成果以及有关这方面进展情况的综合介绍，兼顾有关数学建模、计算方法以及应用数学理论和方法方面的论文及综合介绍，其任务是推动我国的应用数学研究和人才培养工作，反映应用数学的最新成果，促进国内外学术交流，为加速实现我国社会主义现代化服务。
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    Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prüfer transformation

    LI Zhi-yuLI KunCAI Jin-mingQIN Jian-fang...
    191-200页
    查看更多>>摘要：A class of Sturm-Liouville problems with discontinuity is studied in this paper.The oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions are obtained.The main method used in this paper is based on Prüfer transformation,which is different from the classical ones.Moreover,we give two examples to verify our main results.
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    Existence and numerical approximation of a solution to frictional contact problem for electro-elastic materials

    Othman BaizEL-Hassan BenkhiraRachid Fakhar
    201-219页
    查看更多>>摘要：In this paper,a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied.The contact is modeled by normal compliance with finite penetration and a version of Coulomb's law of dry friction in which the coefficient of friction depends on the slip.In addition,the effects of the electrical conductivity of the foundation are taken into account.This model leads to a coupled system of the quasi-variational inequality of the elliptic type for the displacement and the nonlinear variational equation for the electric potential.The existence of a weak solution is proved by using an abstract result for elliptic variational inequalities and a fixed point argument.Then,a finite element approximation of the problem is presented.Under some regularity conditions,an optimal order error estimate of the approximate solution is derived.Finally,a successive iteration technique is used to solve the problem numerically and a convergence result is established.
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    Approximate solution of Volterra-Fredholm integral equations using generalized barycentric rational interpolant

    Hadis AzinFakhrodin Mohammadi
    220-238页
    查看更多>>摘要：It is well-known that interpolation by rational functions results in a more accurate approximation than the polynomials interpolation.However,classical rational interpolation has some deficiencies such as uncontrollable poles and low convergence order.In contrast with the classical rational interpolants,the generalized barycentric rational interpolants which depend linearly on the interpolated values,yield infinite smooth approximation with no poles in real numbers.In this paper,a numerical collocation approach,based on the generalized barycentric rational interpolation and Gaussian quadrature formula,was introduced to approximate the solution of Volterra-Fredholm integral equations.Three types of points in the solution domain are used as interpolation nodes.The obtained numerical results confirm that the barycentric rational interpolants are efficient tools for solving Volterra-Fredholm integral equations.More-over,integral equations with Runge's function as an exact solution,no oscillation occurrs in the obtained approximate solutions so that the Runge's phenomenon is avoided.
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    On traceable iterated line graph and hamiltonian path index

    NIU Zhao-hongXIONG Li-mingYANG Wei-hua
    239-252页
    查看更多>>摘要：Xiong and Liu[21]gave a characterization of the graphs G for which the n-iterated line graph Ln(G)is hamiltonian,for n≥2.In this paper,we study the existence of a hamiltonian path in Ln(G),and give a characterization of G for which Ln(G)has a hamiltonian path.As applications,we use this characterization to give several upper bounds on the hamiltonian path index of a graph.
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    Multivariate form of Hermite sampling series

    Rashad M.Asharabi
    253-265页
    查看更多>>摘要：In this paper,we establish a new multivariate Hermite sampling series involving samples from the function itself and its mixed and non-mixed partial derivatives of arbitrary order.This multivariate form of Hermite sampling will be valid for some classes of multivariate entire functions,satisfying certain growth conditions.We will show that many known results included in Commun Korean Math Soc,2002,17:731-740,Turk J Math,2017,41:387-403 and Filomat,2020,34:3339-3347 are special cases of our results.Moreover,we estimate the truncation error of this sampling based on localized sampling without decay assumption.Illustrative examples are also presented.
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    Navigation Finsler metrics on a gradient Ricci soliton

    LI YingMO Xiao-huanWANG Xiao-yang
    266-275页
    查看更多>>摘要：In this paper,we study a class of Finsler metrics defined by a vector field on a gradient Ricci soliton.We obtain a necessary and sufficient condition for these Finsler metrics on a compact gradient Ricci soliton to be of isotropic S-curvature by establishing a new integral inequality.Then we determine the Ricci curvature of navigation Finsler metrics of isotropic S-curvature on a gradient Ricci soliton generalizing result only known in the case when such soliton is of Einstein type.As its application,we obtain the Ricci curvature of all navigation Finsler metrics of isotropic S-curvature on Gaussian shrinking soliton.
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    A novel fractional case study of nonlinear dynamics via analytical approach

    Hassan KhanAdnan KhanRasool ShahDumitru Baleanu...
    276-290页
    查看更多>>摘要：The present work describes the fractional view analysis of Newell-Whitehead-Segal equations,using an innovative technique.The work is carried with the help of the Caputo oper-ator of fractional derivative.The analytical solutions of some numerical examples are presented to confirm the reliability of the proposed method.The derived results are very consistent with the actual solutions to the problems.A graphical representation has been done for the solution of the problems at various fractional-order derivatives.Moreover,the solution in series form has the desired rate of convergence and provides the closed-form solutions.It is noted that the procedure can be modified in other directions for fractional order problems.
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    Characterizations of semihoops based on derivations

    WANG MeiZHANG Xiao-hong
    291-310页
    查看更多>>摘要：In this paper,we discuss the related properties of some particular derivations in semihoops and give some characterizations of them.Then,we prove that every Heyting algebra is isomorphic to the algebra of all multiplicative derivations and show that every Boolean algebra is isomorphic to the algebra of all implicative derivations.Finally,we show that the sets of multiplicative and implicative derivations on bounded regular idempotent semihoops are in one-to-one correspondence.
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    Trace formula of the integro-differential operator on a quantum graph

    WEI Li-xiaoYANG Chuan-fu
    311-318页
    查看更多>>摘要：In this paper we study the eigenvalue problem for integro-differential operators on a lasso graph.The trace formula of the operator is established by applying the residual technique in complex analysis.
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    On the global smooth solutions of 3D incompressible Hall-MHD equations

    YUE Gao-chengSUN Wen-da
    319-327页
    查看更多>>摘要：The present paper is devoted to the well-posedness issue for the 3D incompressible Hall-MHD system obtained from kinetic models.Our analysis strongly relies on the use of the Fourier analysis.We establish the global existence of smooth solutions for a class of large initial data,this result implies the initial velocity and magnetic field can be arbitrarily large.
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