数学学报杂志

Total Restrained Bondage in Graphs

关键词: 支配集  控制数  顶点  孤立  价值观  子集  基数  ge  

A subset S of vertices of a graph G with no isolated vertex is a total restrained dominating set if every vertex is adjacent to a vertex in S and every vertex in V (G) S is also adjacent to a vertex in V (G) S. The total restrained domination number of G is the minimum cardinality of a total restrained dominating set...

Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces

关键词: sobolev空间  超奇异积分  换向器  粗糙核  勒贝格空间  有界性  

Modular Filter Convergence Theorems for Urysohn Integral Operators and Applications

关键词: 收敛性定理  积分算子  模块化  应用  过滤器  性质  收敛定理  滤波器  

We prove some versions of modular convergence theorems for nonlinear Urysohn-type integral operators with respect to filter convergence. We consider pointwise filter convergence of functions giving also some applications to linear and nonlinear Mellin operators. We show that our results are strict extensions of the c...

Blow-up of Solutions for a Time-space Fractional Evolution System

关键词: 进化系统  分数  时间  爆破  空间  非线性  

In this paper, firstly, we study the local existence and uniqueness of mild solutions for fractional evolution systems with nonlocal in time nonlinearity. Then, we claim that such a mild solution is weak solution of this system. Finally, we prove a blow-up result under some conditions.

Existence of Diffusion Orbits in a Lattice System

关键词: 晶格  轨道  扩散  周期性扰动  变分方法  时间  

We study a model which is a periodic lattice system with nearest neighbors coupling. Using the variational methods, we show the existence of diffusion orbits under a generic perturbation of time periodic.

Existence of Weakly Pandiagonal Orthogonal Latin Squares

关键词: 泛对角线拉丁方  正交拉丁方  mod  n阶  属性  个数  

A weakly pandiagonal Latin square of order n over the number set {0, 1, . . . , n-1} is a Latin square having the property that the sum of the n numbers in each of 2n diagonals is the same. In this paper, we shall prove that a pair of orthogonal weakly pandiagonal Latin squares of order n exists if and only if n ≡ 0...

A Note on Multitype Branching Process with Bounded Immigration in Random Environment

关键词: 随机环境  分枝过程  移民  注记  多维  随机游走  再生过程  尾概率  

In this paper, we study the total number of progeny, W, before regenerating of multitype branching process with immigration in random environment. We show that the tail probability of |W| is of order t-κ as t→∞, with κ some constant. As an application, we prove a stable law for (L-1) random walk in random environme...

Parameter Dependence of Stable Manifolds for Nonuniform （μ, ν）-dichotomies

关键词: 非稳定流形  二分法  lipschitz连续  依赖性  非线性扰动  banach空间  脉冲微分方程  不变流形  

我们为非线性的冲动的微分方程与参数 x =产生的 semiflows 构造稳定的不变的 manifolds (t) x + f ( t ， x ，)， t i 和 x ( i +)= B i x ( i )+ g i ( x ( i )，)，吗在 Banach 空格的 i ，假设线性冲动的微分方程 x = A (t) x ， t i 和 x ( i +)= B i x ( i )，我承认一不一致(拍卖)，并且 5 ( 1 ？？

The Configuration of Shock Wave Reflection for the TSD Equation

关键词: 冲击波反射  d方程  tsd  配置  非线性波  边界值问题  规则反射  简单波  

In this paper, we mainly study the nonlinear wave configuration caused by shock wave reflection for the TSD (Transonic Small Disturbance) equation and specify the existence and nonexistence of various nonlinear wave configurations. We give a condition under which the solution of the RR (Regular reflection) for the TS...

Blow-up Criterion for Three-dimensional Compressible Viscoelastic Fluids with Vacuum

关键词: 粘弹性流体  三维可压缩  真空  cauchy问题  爆破  变形梯度  方程  

In this paper, we study a Cauchy problem for the equations of 3D compressible viscoelastic fluids with vacuum. We establish a blow-up criterion for the local strong solutions in terms of the upper bound of the density and deformation gradient.

Conjugate Points on a Type of Khler Manifolds

关键词: 共轭点  子流形  格拉斯曼流形  应用程序  同伦群  测地线  

We study conjugate points on a type of Khler manifolds, which are submanifolds of Grassmannian manifolds. And then we give the applications to the study of the index of geodesics and homotopy groups.

Relaxation and Nonoccurrence of the Lavrentiev Phenomenon for Nonconvex Problems

关键词: 松弛  一致收敛  变分问题  最小化  多维  积分  

The paper studies a relaxation of the basic multidimensional variational problem, when the class of admissible functions is endowed with the Lipschitz convergence introduced by Morrey. It is shown that in this setup, the integral of a variational problem must satisfy a classical growth condition, unlike the case of u...

Subgroup Separability of Certain Generalized Free Products of Nilpotent-by-finite Groups

关键词: 有限幂零群  产品  广义  免费  分组  有限群  

New Periodic Solutions for a Class of Singular Hamiltonian Systems

关键词: 奇异哈密顿系统  周期解  保守系统  psc  弱力  二阶  引理  

In this paper, we apply a variant of the famous Mountain Pass Lemmas of Ambrosetti-Rabinowitz and Ambrosetti-Coti Zelati with (PSC)c type condition of Palais-Smale-Cerami to study the existence of new periodic solutions with a prescribed energy for symmetrical singular second order Hamiltonian conservative systems wi...

Mutation on Knots and Whitney＇s 2-Isomorphism Theorem

关键词: 同构定理  纽结理论  突变  平面图形  充分必要条件  嵌入定理  切换  操作  

Whitney’s 2-switching theorem states that any two embeddings of a 2-connected planar graph in S2 can be connected via a sequence of simple operations, named 2-switching. In this paper, we obtain two operations on planar graphs from the view point of knot theory, which we will term "twisting" and "2-switching" respec...