全文下载排行

一年内发表文章 | 两年内 | 三年内 | 全部 | 最近1个月下载排行 | 最近1年下载排行

当前位置： 两年内

Please wait a minute...


选择: 导出引用 EndNote Ris BibTeX 显示/隐藏图片

Select

1. 凸复Finsler流形上的Hopf-Rinow定理 李鸿军 数学季刊    2024, 39 (1): 31-45.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.003 摘要 （161）      PDF（pc） （365KB）（158）    可视化    收藏 Suppose (M,F) is a convex complex Finsler manifold. We prove that geodesics of (M,F) are locally minimizing. Hence, F introduces a distance function d such that (M,d) is a metric space from topology. Next, we prove the classical Hopf-Rinow Theorem holds on (M,F). 相关文章 | 多维度评价

Select

2. 规范场论中自对偶磁单极子解的存在唯一性 陈筱 数学季刊    2024, 39 (1): 86-96.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.009 摘要 （100）      PDF（pc） （316KB）（147）    可视化    收藏 Magnetic monopoles stand for the static solution arising from a (1+ 3)– dimensional theory describing the interaction between a real scalar triplet and non–Abelian gauge field. In this paper, we obtain a two–point boundary value problem of a first–order ordinary differential equations from the self–dual monopole model. Then we establish the existence and uniqueness theorem for the problem by using a dynamical shooting method, we also obtain sharp asymptotic estimates for the solutions at infinity. 相关文章 | 多维度评价

Select

3. 单层圆柱形网格图的独立多项式和Merrifield-Simmons指数 季琳星, 张 科, 胡文军 数学季刊    2024, 39 (4): 379-387.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.04.004 摘要 （80）      PDF（pc） （490KB）（137）    可视化    收藏 Research on the independence polynomial of graphs has been very active. However, the computational complexity of determining independence polynomials for general graphs remains NP-hard. Let α(G) be the independence number of G and i(G; k) be the number of independent sets of order k in G, then the independence polynomial is defined as ...... 相关文章 | 多维度评价

Select

4. 富勒烯图的极大共振性 杨瑞, 马燕菲 数学季刊    2024, 39 (1): 1-17.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.001 摘要 （158）      PDF（pc） （551KB）（134）    可视化    收藏 A {(3,4),4}-fullerene graph S is a 4-regular map on the sphere whose faces are of length 3 or 4. It follows from Euler’s formula that the number of triangular faces is eight. A set H of disjoint quadrangular faces of S is called resonant pattern if S has a perfect matching M such that every quadrangular face in H is M-alternating. Let k be a positive integer, S is k-resonant if any i≤k disjoint quadrangular faces of S form a resonant pattern. Moreover, if graph S is k-resonant for any integer k, then S is called maximally resonant. 相关文章 | 多维度评价

Select

5. 带分数阶Robin边界条件的时间-空间分数阶扩散方程的有限差分方法 唐忠华, 房少梅 数学季刊    2024, 39 (1): 18-30.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.002 摘要 （170）      PDF（pc） （366KB）（126）    可视化    收藏 In this paper, an efficient numerical method is proposed to solve the Caputo-Riesz fractional diffusion equation with fractional Robin boundary conditions. We approximate the Riesz space fractional derivatives using the fractional central difference scheme with second-order accurate. A priori estimation of the solution of the numerical scheme is given, and the stability and convergence of the numerical scheme are analyzed. Finally, a numerical example is used to verify the accuracy and efficiency of the numerical method. 相关文章 | 多维度评价

Select

6. 贝索夫空间中三维布辛涅斯克方程的一些新的正则性准则 邹绵璐, 李强 数学季刊    2024, 39 (1): 73-81.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.007 摘要 （138）      PDF（pc） （355KB）（124）    可视化    收藏 In this paper, we study the regularity criterion for the three-dimensional Boussinesq equations in Besov spaces. We show that the smooth solution (u,θ) is regular if the horizonal velocity uh holds 相关文章 | 多维度评价

Select

7. 一类对数p-Laplace抛物型方程中的爆破和衰减估计 李 平, 李锋杰 数学季刊    2024, 39 (4): 331-354.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.04.001 摘要 （247）      PDF（pc） （462KB）（114）    可视化    收藏 This paper deals with an initial-boundary value problem of a fourth-order parabolic equation involving Logarithmic type p-Laplacian, which could be proposed as a model for the epitaxial growth of thin films. By using the variational method and the logarithmic type Sobolev inequality, we give some threshold results for blow-up solutions and global solutions, which could be classified by the initial energy. The asymptotic estimates about blow-up time and decay estimate of weak solutions are obtained. 相关文章 | 多维度评价

Select

8. 具有奇异势和一般非线性的伪抛物方程解的局部存在性和爆破 江东月, 唐忠华, 房少梅 数学季刊    2024, 39 (2): 111-127.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.02.001 摘要 （150）      PDF（pc） （465KB）（109）    可视化    收藏 In this paper, a semilinear pseudo-parabolic equation with a general nonlinearity and singular potential is considered. We prove the local existence of solution by Galerkin method and contraction mapping theorem. Moreover, we prove the blow-up of solution and estimate the upper bound of the blow-up time for J(u0)≤0. Finally, we prove the finite time blow-up and estimate the upper bound of blow-up time for J(u0)>0. 相关文章 | 多维度评价

Select

9. 涉及 q-微分积分算子的某些解析函数类的 Fekete-Szegö 不等式与对称Toeplitz 行列式 裴柯柯, 龙品红, 刘金林, 甘加达兰 穆鲁古桑德拉姆斯 数学季刊    2024, 39 (4): 366-378.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.04.003 摘要 （105）      PDF（pc） （387KB）（88）    可视化    收藏 In this paper, we introduce and investigate certain subclass of analytic and univalent functions involving q-differintegral operator. For this function class, we give the bound estimates of the coefficients a2 and a3  and some Fekete-Szegö functional inequalities. Besides, we also estimate the corresponding symmetric Toeplitz determinants. Furthermore, we point out some consequences and connections to these results above. 相关文章 | 多维度评价

Select

10. 两类加权空间间的积分算子与离散算子的有界性及算子范数估计 洪勇, 赵茜 数学季刊    2024, 39 (1): 59-67.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.005 摘要 （123）      PDF（pc） （330KB）（87）    可视化    收藏 Using the weight coefficient method, we first discuss semi-discrete Hilbert-type inequalities, and then discuss boundedness of integral and discrete operators and operator norm estimates based on Hilbert-type inequalities in weighted Lebesgue space and weighted normed sequence space. 相关文章 | 多维度评价

Select

11. 具有食饵避难所的离散捕食者-食饵模型的余维二分支分析 庞茹一, 陈巧玲 数学季刊    2024, 39 (2): 128-143.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.02.002 摘要 （126）      PDF（pc） （842KB）（83）    可视化    收藏  In this paper, a discrete predator-prey model with prey refuge is investigated. It is proved that the model undergoes codimension-2 bifurcations associated with 1:2 and 1:3 resonances. The bifurcation diagrams and phase portraits show that the model has some interesting complex dynamical behaviors, such as limit cycle, periodic solutions, chaos and codimension-1 bifurcations. 相关文章 | 多维度评价

Select

12. 一类高秩大规模 T-Stein 方程的分解 Smith 方法 李想, 余波, 汤琼 数学季刊    2024, 39 (3): 235-249.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.03.002 摘要 （86）      PDF（pc） （11638KB）（78）    可视化    收藏 We introduce a factorized Smith method (FSM) for solving large-scale highranked J-Stein equations within the banded-plus-low-rank structure framework. To effectively reduce both computational complexity and storage requirements, we develop techniques including deflation and shift, partial truncation and compression, as well as redesign the residual computation and termination condition. Numerical examples demonstrate that the FSM outperforms the Smith method implemented with a hierarchical HODLR structured toolkit in terms of CPU time. 相关文章 | 多维度评价

Select

13. 关于三调和函数的Weyl引理研究 郑润洁, 曾佳敏, 方益 数学季刊    2024, 39 (3): 288-294.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.03.006 摘要 （93）      PDF（pc） （271KB）（77）    可视化    收藏 In this paper, by choosing some appropriate test functions, we prove the Weyl’s lemma for triharmonic functions based on the new type of mean value formulas. 相关文章 | 多维度评价

Select

14. 水沙输运模型的间断有限元方法 张任鹏, 王 波, 王 强 数学季刊    2024, 39 (4): 355-365.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.04.002 摘要 （131）      PDF（pc） （1085KB）（72）    可视化    收藏 In this article, we propose and research a first-order, linearized discontinuous Galerkin method for the approximation of the hydrodynamic and sediment transport model. The method is decoupled and fully discrete, and is shown to be unconditionally stable. Furthermore, error estimates are proved. Finally, the theoretical analysis is confirmed by numerical examples. 相关文章 | 多维度评价

Select

15. 关于两个两点Witten-Kontsevich关联子公式等价的一个注记 郭晋东 数学季刊    2024, 39 (1): 82-85.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.008 摘要 （100）      PDF（pc） （291KB）（72）    可视化    收藏 We prove the equivalence between two explicit expressions for two-point Witten-Kontsevich correlators obtained by Bertola-Dubrovin-Yang and by Zograf, respec-tively. 相关文章 | 多维度评价

Select

16. 基于半参数Copula学习的确定性独立筛选研究 辛 欣, 谢博易, 刘科科 数学季刊    2024, 39 (2): 144-160.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.02.003 摘要 （126）      PDF（pc） （393KB）（71）    可视化    收藏  This paper is concerned with ultrahigh dimensional data analysis, which has become increasingly important in diverse scientific fields. We develop a sure independence screening procedure via the measure of conditional mean dependence based on Copula (CC-SIS, for short). The CC-SIS can be implemented as easily as the sure independence screening procedures which respectively based on the Pearson correlation, conditional mean and distance correlation (SIS, SIRS and DC-SIS, for short) and can significantly improve the performance of feature screening. We establish the sure screening property for the CC-SIS, and conduct simulations to examine its finite sample performance. Numerical comparison indicates that the CC-SIS performs better than the other two methods in various models. At last, we also illustrate the CC-SIS through a real data example. 相关文章 | 多维度评价

Select

17. 多参数Mittag-Leffler函数的一些成果 潘玉梅, 李玉芬, 蔡董欣, 严兴杰 数学季刊    2025, 40 (1): 82-92.   DOI: 10.13371/j.cnki.chin.q.j.m.2025.01.008 摘要 （76）      PDF（pc） （328KB）（71）    可视化    收藏 In this article, the multi-parameters Mittag-Leffler function is studied in detail. As a consequence, a series of novel results such as the integral representation, series representation and Mellin transform to the above function, are obtained. Especially, we associate the multi-parameters Mittag-Leffler function with two special functions which are the generalized Wright hypergeometric and the Fox’s-H functions. Meanwhile, some interesting integral operators and derivative operators of this function, are also discussed 相关文章 | 多维度评价

Select

18. w-(b,c)-核逆 方莉, 赵良 数学季刊    2025, 40 (1): 26-35.   DOI: 10.13371/j.cnki.chin.q.j.m.2025.01.003 摘要 （114）      PDF（pc） （308KB）（71）    可视化    收藏 We introduce and study a new kind of generalized inverses named w-(b,c)-core inverses, which is a generalization of the (b,c)-core inverse. An example is given to show that w-(b,c)-core inverses need not be (b,c)-core inverses. In addition, the dual version of the w-(b,c)-core inverse is studied. Some results on (b,c)-core inverses and e-(b,c)-core inverses are unified and generalized. 相关文章 | 多维度评价

Select

19. 强乘积图的最小强半径 刘树洋, 李峰 数学季刊    2024, 39 (1): 68-72.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.006 摘要 （139）      PDF（pc） （267KB）（67）    可视化    收藏 A strong product graph is denoted by G1 ⊠G2, where G1 and G2 are called its factor graphs. This paper gives the range of the minimum strong radius of the strong product graph. And using the relationship between the cartesian product graph G1 ×G2 and the strong product graph G1 ⊠G2, another different upper bound of the minimum strong radius of the strong product graph is given. 相关文章 | 多维度评价

Select

20. 凸F-多边形内部的F-点数 郭自欢, 魏祥林 数学季刊    2024, 39 (1): 46-58.   DOI: 10.13371/j.cnki.chin.q.j.m.2024.01.004 摘要 （105）      PDF（pc） （470KB）（60）    可视化    收藏 An F-polygon is a simple polygon whose vertices are F-points, which are points of the set of vertices of a tiling of R2 by regular triangles and regular hexagons of unit edge. Let f(v) denote the least possible number of F-points in the interior of a convex F-polygon K with v vertices. In this paper we prove that f(10) = 10, f(11) = 12, f(12) = 12 相关文章 | 多维度评价