Table of Content

26 February 2019, Volume 39 Issue 1 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Select

Uniqueness Problem for Meromorphic Maps Sharing Hyperplanes with Low Truncated Multiplicities Kai Zhou,Lu Jin Acta mathematica scientia,Series A. 2019, 39 (1):  1-14.  Abstract ( 191 )   RICH HTML PDF (356KB) ( 162 )   Save In this paper, we prove first some uniqueness theorems for two meromorphic maps sharing 2n + 2 hyperplanes with low truncated multiplicities. And in the last section, we give a simple proof of a uniqueness theorem under the assumption that f-1(Hj)⊆ g-1(Hj) and q ≥ 2n+3. References | Related Articles | Metrics

Select

On Some Product-Type Operators From Mixed Norm Space to Zygmund-Type Spaces Yongmin Liu,Yanyan Yu Acta mathematica scientia,Series A. 2019, 39 (1):  15-28.  Abstract ( 114 )   RICH HTML PDF (345KB) ( 149 )   Save Let $H({\Bbb D})$ denote the space of all analytic functions on the unit disk ${\Bbb D}$ in the complex plane $ {\Bbb C}$, $\psi_1, \psi_2\in H({\Bbb D}),$ $n$ be a nonnegative integer, $\varphi$ an analytic self-map of $ {\Bbb D}$ and $\mu$ a weight. We study the boundedness and compactness of a product-type operator which is defined by $ T^n_{\psi_{1},\psi_{2},\varphi}f(z)=\psi_1(z)f^{(n)}(\varphi(z))+\psi_2(z)f^{(n+1)}(\varphi(z)), f\in H({\Bbb D}), $ from the mixed norm space to Zygmund-type spaces. References | Related Articles | Metrics

Select

Almost Contact Lagrangian Submanifolds of Nearly Kaehler $\mathbb{S}$3×$\mathbb{S}$3 Biaogui Yang,Jing Chen Acta mathematica scientia,Series A. 2019, 39 (1):  29-37.  Abstract ( 96 )   RICH HTML PDF (303KB) ( 112 )   Save For a Lagrangian submanifold of the nearly Kaehler ${\Bbb S}^3\times {\Bbb S}^3$, we provide conditions for a canonically induced almost contact metric structure by a unit vector field, to be $\alpha$-Sasakian, $\beta$-Kenmotsu and cosymplectic. Furthermore, assuming the almost contact metric structure to be normal, we show the conditions when the contact metric structure is $\frac{\sqrt{3}}{3}$-Sasakian, $\frac{\sqrt{3}}{3}$-Kenmotsu or cosymplectic. References | Related Articles | Metrics

Select

Integrating Factors and Conserved Quantities for Constrained Hamilton Systems and Its Applications in Field Theory Jingrun Zhou,Jingli Fu Acta mathematica scientia,Series A. 2019, 39 (1):  38-48.  Abstract ( 127 )   RICH HTML PDF (405KB) ( 122 )   Save Field theory is the most important and difficult part in the study of constrained Hamiltonian systems. In recent years, it has became a hot research area. In this paper, a general method that to construct the conservation laws of field theory system based on the integral factor method is presented. Firstly, the general Hamilton canonical equation of constrained Hamiltonian system is structured. Secondly, the definition about integrating factors is given and the conservation theorem for constrained Hamiltonian systems is established. Thirdly, the general Killing equation of constrained Hamiltonian system is deduced, then the integrating factors of constrained Hamiltonian systems are obtained. Finally, two examples are used to demonstrate the effectiveness of this method. Obviously, compared with Noether symmetry method and Lie symmetry method, the integrating factor method of constrained Hamiltonian system has the advantages of clearing calculation step, lessening restrictive conditions and simplifying operation and so on. References | Related Articles | Metrics

Select

Stability of Some Fractional Systems and Laplace Transform Chun Wang Acta mathematica scientia,Series A. 2019, 39 (1):  49-58.  Abstract ( 128 )   RICH HTML PDF (304KB) ( 168 )   Save This paper investigates the Hyers-Ulam-Rassias stability of a kind of fractional differential systems, and proves that this kind of fractional differential systems are Hyers-UlamRassias stable by the Laplace transform method. Two examples are given to illustrate the theoretical results. References | Related Articles | Metrics

Select

The Oscillating Property of the Meromorphic Solution of Nonlinear Difference Equations Hanjia Gao,Xiaoxi Zhao,Jun Wang Acta mathematica scientia,Series A. 2019, 39 (1):  59-66.  Abstract ( 87 )   RICH HTML PDF (323KB) ( 105 )   Save In this paper, we discuss the following difference equations an(z)f(z+n)jn+…+a1(z)f(z+1)j1+a0(z)f(z)j0=b(z), an(z)f(qnz)jn+…+a1(z)f(qz)j1+a0(z)f(z)j0=b(z), where ai(z)(i=0, 1, …, n) and b(z) are nonzero rational functions, ji(i=0, 1, …, n) are positive integers, q is a nonzero complex constant. When the equations above have meromorphic solutions with hyper order less than 1 and few poles, we investigate the distributions of zeros. Besides, when the solution has infinitely many poles, we give the lower bound of the exponent of convergence of poles. References | Related Articles | Metrics

Select

Blow-Up Criterion for Incompressible Magnetohydrodynamics Equations in Besov Space Zhaoyang Shang Acta mathematica scientia,Series A. 2019, 39 (1):  67-80.  Abstract ( 101 )   RICH HTML PDF (375KB) ( 111 )   Save In this paper, we study the blow-up criterion of smooth solutions to the threedimensional incompressible magnetohydrodynamic(MHD) equations in Besov space of negative regular index. We show that a smooth solution breaks down if and only if the certain norm of the velocity u blows up at the same time. Here the norm‖·‖VΘ is defined in nonhomogenous Besov space and it is weaker than‖·‖B∞, ∞α-1-norm, for 0 < α < 1. References | Related Articles | Metrics

Select

The Strong Time-Dependent Global Attractors for the Non-Damping Abstract Evolution Equations with Fading Memory Didi Hu,Xuan Wang Acta mathematica scientia,Series A. 2019, 39 (1):  81-94.  Abstract ( 89 )   RICH HTML PDF (398KB) ( 95 )   Save In this paper, by applying the modified pullback attractors theory, asymptotic a priori estimate method and operator decomposition technique, we obtain the existence as well as regularity of strong time-dependent global attractors for the non-damping abstract evolution equations with fading memory. References | Related Articles | Metrics

Select

Existence of Nontrivial Solutions for a Class of Relativistic Nonlinear Schrödinger Equations Wen Qiu,Yimin Zhang,Ahmed Adam Abdelgadir Acta mathematica scientia,Series A. 2019, 39 (1):  95-104.  Abstract ( 155 )   RICH HTML PDF (330KB) ( 156 )   Save Using the critical point theory, we consider a class of relativistic nonlinear Schrödinger equations. By introducing a change, we transform the relativistic nonlinear Schrödinger equations into the semilinear elliptic equations. First, we extend results of the classical field equation to the relativistic nonlinear Schrödinger equation. Then, the variational methods was used to obtain the existence of nontrivial solutions of the relativistic nonlinear Schrödinger equations with bounded potential. Moreover, we improved the general superlinear conditions which was used in [12-13]. References | Related Articles | Metrics

Select

Existence and Uniqueness of the Mild Solutions for a Class of Fractional Non-Autonomous Evolution Equations with Impulses Bo Zhu,Lishan Liu Acta mathematica scientia,Series A. 2019, 39 (1):  105-113.  Abstract ( 99 )   RICH HTML PDF (319KB) ( 152 )   Save In this paper, we consider a class of fractional non-autonomous evolution equations with impulses and delay. By the generalized Banach fixed point theorem, we obtain some new results on the existence and uniqueness of the mild solution. An explicit iterative scheme for the mild solution and an error estimate of the approximation sequence for the initial value problem are also derived. Moreover, the unique mild solution of the problem is continuously dependent on the initial value. References | Related Articles | Metrics

Select

Global Attractors for a Fourth Order Pseudo-Parabolic Equation with Fading Memory Xiaoming Peng,Xiaoxiao Zheng,Yadong Shang Acta mathematica scientia,Series A. 2019, 39 (1):  114-124.  Abstract ( 88 )   RICH HTML PDF (364KB) ( 92 )   Save This paper is devoted to study the long-time dynamical behavior of fourth order pseudo-parabolic equations with memory when nonlinearity is critical. By using the decompose techniques of solution semigroup and compactness transitivity theorem, we show the existence of global attractors within the past history framework. References | Related Articles | Metrics

Select

A Note on Global Solution and Blow-Up for a Class of Pseudo p-Laplacian Evolution Equations with Logarithmic Nonlinearity Yijun He,Huaihong Gao,Hua Wang,Shunyong Li Acta mathematica scientia,Series A. 2019, 39 (1):  125-132.  Abstract ( 122 )   RICH HTML PDF (317KB) ( 119 )   Save We consider the initial-boundary value problem for a pseudo p-Laplacian equation with logarithmic nonlinearity. Under different initial conditions, we get the results on blow up in finite time and asymptotic behavior of solutions. These results extend some recent results by Nhan and Truong[12]. References | Related Articles | Metrics

Select

The Stationary Measure of a Space-Inhomogeneous Three-State Quantum Walk on the Line Qi Han,Ting Guo,Shide Yin,Zhihe Chen Acta mathematica scientia,Series A. 2019, 39 (1):  133-142.  Abstract ( 116 )   RICH HTML PDF (284KB) ( 92 )   Save In this paper, we study the space-inhomogeneous three-state quantum walks on the line, a one-phase model and a two-phase model included. By using the reduced matrix method introduced by Konno et al, we calculate their eigenvalues and get corresponding stationary measure. References | Related Articles | Metrics

Select

A General Maximum Principle for Forward-Backward Stochastic Control Systems of Mean-Field Type Ruijing Li Acta mathematica scientia,Series A. 2019, 39 (1):  143-155.  Abstract ( 103 )   RICH HTML PDF (394KB) ( 284 )   Save The present paper concerns with optimal control problems allowing for time inconsistent utility functions for instance of mean-field stochastic systems. Moreover, the control variable enters the diffusion coefficient and the control domain is non-convex. Via extended Ekeland's variational principle as well as the reduction method, a general stochastic maximum principle is established in the framework of mean-field theory. Finally, a linear-quadratic example is worked out to illustrate the application of the results. References | Related Articles | Metrics

Select

Majorization Problems for the Classes of Analytic Functions of Complex Order on the Domains of Lemniscate of Bernoulli Huo Tang,Shuhai Li,Xiaomeng Niu,Lina Ma Acta mathematica scientia,Series A. 2019, 39 (1):  156-164.  Abstract ( 107 )   RICH HTML PDF (328KB) ( 114 )   Save In this paper, we introduce the classes Lnγ and Rnb(a, c) of analytic functions on the left-half and right-half bounded domains of lemniscate of Bernoulli, which are defined by using the Salagean operator and subordination relationship, and investigate majorization problems for functions belonging to these classes. Some interesting corollaries of our main results are also considered. Figures and Tables | References | Related Articles | Metrics

Select

Characterizations of DICR Functions and Applications to Optimization Problems Shigui Ma,Jun Li Acta mathematica scientia,Series A. 2019, 39 (1):  165-171.  Abstract ( 81 )   RICH HTML PDF (290KB) ( 79 )   Save In this paper, we study DICR functions in topological vector spaces. We introduce support sets and subdifferential of DICR functions, discuss the relations between support sets and subdifferential. We also investigate maximal elements of the set involving strictly DICR functions and present necessary and sufficient conditions for the global minimum of the difference of two strictly DICR functions. References | Related Articles | Metrics

Select

A Note on Asymptotic Portfolio Loss Order of Multivariate Regularly Varying Risks Guodong Xing,Xiaohu Li,Suling Kang,Huangping Shi Acta mathematica scientia,Series A. 2019, 39 (1):  172-183.  Abstract ( 83 )   RICH HTML PDF (448KB) ( 93 )   Save This paper studies the stronger asymptotic portfolio loss order to asymptotically quantify the ratio of tail probabilities of extreme portfolio losses in the context of multivariate regular variation. We derive for this order the sufficient and necessary criteria, which supplement and improve the corresponding results due to Mainik and Rüschendorf (2012). Some relevant examples are presented as illustrations as well. Figures and Tables | References | Related Articles | Metrics

Select

On the Parisian Ruin Probability in a Refracted Lévy Process Wanlu Zhang,Xianghua Zhao Acta mathematica scientia,Series A. 2019, 39 (1):  184-199.  Abstract ( 87 )   RICH HTML PDF (394KB) ( 121 )   Save In this paper, we investigate the Parisian ruin probability for a refracted Lévy process with b ≥ 0 and derive the explicit formulas for Parisian ruin probability. Our methodology use fluctuation theory and the theory of scale functions for spectrally negative Lévy processes. Two examples are provided. References | Related Articles | Metrics

Select

Bionomics Dynamic System for Epidemic Virus Transmission Xianglin Han,Weigang Wang,Jiaqi Mo Acta mathematica scientia,Series A. 2019, 39 (1):  200-208.  Abstract ( 133 )   RICH HTML PDF (368KB) ( 227 )   Save A nonlinear dynamic system of the epidemic contagion transmission is studied by using the asymptotic theory in modern mathematical physics. Firstly, a dynamic model of the epidemic contagion transmission is established, which is a system of differential equation. Next, a set of functional analytic homotopic mapping is led. Then the solution of dynamic system model for a power series with a artificial parameter is substituted. Their asymptotic solutions of the dynamic system are solved successively. Finely, the importance of solution for the original dynamic model is related. Figures and Tables | References | Related Articles | Metrics