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 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 （83）   HTML （2）    PDF（pc） （356KB）（90）       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.
 Select The Pointwise Multiplier on the Normal Weight Zygmund Space in the Unit Ball Yuting Guo,Qingli Shang,Xuejun Zhang Acta mathematica scientia,Series A    2018, 38 (6): 1041-1048.   Abstract （76）   HTML （11）    PDF（pc） （322KB）（157）       Save Let μ be a normal function on[0, 1). In this paper, the authors character the pointwise multipliers on the normal weight Zygmund space Zμ(B) in the unit ball of Cn. The necessary and sufficient conditions for the multiplier operator is bounded or compact are given.
 Select Some Properties and Inequalities for Chord-Integrals of Star Bodies Chunna Zeng,Ran Li,Baocheng Zhu Acta mathematica scientia,Series A    2018, 38 (6): 1049-1057.   Abstract （65）   HTML （1）    PDF（pc） （315KB）（115）       Save In this paper, we obtain some limit properties of chord-integrals in $\mathbb{R}$n, and establish some inequalities for chord-integrals of star bodies, including the inequalities between chord-integrals and dual quermass-integrals, the dual Blaschke-Santaló inequality and so on.
 Select Stability of Some Fractional Systems and Laplace Transform Chun Wang Acta mathematica scientia,Series A    2019, 39 (1): 49-58.   Abstract （61）   HTML （2）    PDF（pc） （304KB）（86）       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.
 Select kUKK Property in Banach Spaces Liying Fan,Jingjing Song,Jianing Zhang Acta mathematica scientia,Series A    2019, 39 (4): 705-712.   Abstract （55）   HTML （17）    PDF（pc） （324KB）（197）       Save A new geometric property of Banach space kUKK is given, It is proved that Banach space with this property has weak Banach-saks property, Banach space X is kNUC if and only if it is reflexive and has kUKK property. considering the important role of geometric constants in Banach space geometric properties, The definition of the new constant R2(X) < k is given by the definition of kUKK and proved that when R2(X)< k, the Banach space X has a weak fixed point property. Finally, the specific values are calculated in the Cesaro sequence space.
 Select Generalized Kato Decomposition and Weyl Type Theorems Lihong Chen,Weigang Su Acta mathematica scientia,Series A    2019, 39 (3): 417-422.   Abstract （54）   HTML （3）    PDF（pc） （252KB）（113）       Save Using the character of generalized Kato decomposition, this paper discusses the sufficient and necessary conditions for which Browder's theorem and Weyl's theorem hold from the angle of generalized Kato spectrum for a bounded linear operator.
 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 （49）   HTML （3）    PDF（pc） （330KB）（68）       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].
 Select Lagrange-Like Multiplier Rules for Weak Approximate Pareto Solutions of Multiobjective Constrained Vector Optimization Problems Runxin Li,Hui Huang,Zhenhong Shang,Yu Cao,Hongbin Wang,Jing Zhang Acta mathematica scientia,Series A    2018, 38 (6): 1076-1094.   Abstract （48）   HTML （6）    PDF（pc） （408KB）（41）       Save In real Hilbert space case, Zheng and Li[21] established a Lagrange multiplier rule for weak approximate Pareto solutions of constrained vector optimization problems with only one constrained multifunction. In this paper, we improve and extend their main results to multiobjective constrained vector optimization problems' cases.
 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 （48）   HTML （1）    PDF（pc） （368KB）（102）       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.
 Select The Invariance of Two Subclasses of Biholomorphic Mappings Under the Roper-Suffridge Extension Operators Chaojun Wang,Yanyan Cui,Hao Liu Acta mathematica scientia,Series A    2019, 39 (2): 209-219.   Abstract （46）   HTML （10）    PDF（pc） （360KB）（71）       Save In this paper, we generalize the Roper-Suffridge operator on Bergman-Hartogs domains. Applying the geometric properties and the growth theorems of spirallike mappings of type β and order α as well as almost starlike mappings of complex order λ, we obtain that the generalized Roper-Suffridge operators preserve spirallikeness of type β and order α as well as almost starlikeness of complex order λ on Bergman-Hartogs domains which lead to some special cases. The conclusions provide new approaches to construct spirallike mappings of type β and order α and almost starlike mappings of complex order λ in several complex variables.
 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 （46）   HTML （0）    PDF（pc） （303KB）（40）       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.
 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 （45）   HTML （2）    PDF（pc） （405KB）（49）       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.
 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 （41）   HTML （2）    PDF（pc） （345KB）（69）       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.
 Select Hopf Bifurcation of Delayed Density-Dependent Predator-Prey Model Haiyin Li Acta mathematica scientia,Series A    2019, 39 (2): 358-371.   Abstract （41）   HTML （1）    PDF（pc） （460KB）（35）       Save In this paper, we investigate stability and Hopf bifurcation of a delayed density-dependent predator-prey system with Beddington-DeAngelis functional response, where not only the prey density dependence but also the predator density dependence are considered such that the studied predator-prey system conforms to the realistically biological environment. Firstly, stability transformation of the system was given to prepare for discussion of bifurcating periodic solution. Secondly, we discussed properties of Hopf bifurcation about bifurcating direction, stability and period by center manifold theorem and normal form theory. Finally, an example with numerical simulations is given to illustrate stability transformation and Hopf bifurcation of the system.
 Select Global Attractor in H1（Rn) x Lu2(R+;H1(Rn)) for the Nonclassical Diffusion Equations with Fading Memory Xuan Wang, Ying Han, Chenghua Gao Acta mathematica scientia,Series A    2018, 38 (6): 1205-1223.   Abstract （41）   HTML （1）    PDF（pc） （439KB）（31）       Save In this paper, we are concerned with the dynamical behavior of the nonclassical diffusion equations with fading memory and supercritical nonlinearity on unbounded domain ${{\mathbb{R}}^{n}}$. By applying semigroup theory and method of contractive function, we obtain the existence of global attractors in ${{H}^{1}}\left( {{\mathbb{R}}^{n}} \right)\times L_{\mu }^{2}\left( {{\mathbb{R}}^{+}};{{H}^{1}}\left( {{\mathbb{R}}^{n}} \right) \right)$, when the external forcing term g merely belongs to H-1(${{\mathbb{R}}^{n}}$).
 Select New Multiple Periodic-Soliton Solutions for the -Dimensional Potential-YTSF Equation Huan Wei,Lianwu Yang,Jianguo Liu Acta mathematica scientia,Series A    2018, 38 (6): 1193-1204.   Abstract （40）   HTML （0）    PDF（pc） （2840KB）（37）       Save By using the Hirota's bilinear form and generalized three-wave approach, we construct multiple periodic-soliton solutions of (3+1)-dimensional potential-YTSF equation. Some entirely new periodic-soliton solutions are presented including periodic cross-kink wave, periodic two-solitary wave and breather type of two-solitary wave solutions. With the aid of symbolic computation, propagation characteristics and interactions of breathers and solitons are shown with some figures.
 Select Boundedness of Marcinkiewicz Integrals and Commutators with Variable Kernel on Morrey Spaces with Variable Exponents Xukui Shao,Shuangping Tao Acta mathematica scientia,Series A    2018, 38 (6): 1067-1075.   Abstract （39）   HTML （0）    PDF（pc） （311KB）（81）       Save In this paper, we using the boundednes results of Marcinkiewicz integrals with variable kernels μΩ and their commutators μΩb which generated by μΩ and BMO function b on Lebesgue spaces with variable exponents, the boundednes results are established on Morrey spaces with variable exponents..
 Select Existence and Uniqueness of Solutions to a Class of Anti-Periodic Boundary Value Problem of Fractional Differential Equations with p-Laplacian Operator Yongzhen Yun,Youhui Su,Weimin Hu Acta mathematica scientia,Series A    2018, 38 (6): 1162-1172.   Abstract （39）   HTML （4）    PDF（pc） （380KB）（59）       Save In this paper, we investigate the existence and uniqueness of solutions to a class of anti-periodic boundary value problem of nonlinear Caputo fractional differential equations with p-Laplacian operator. First, the Green function of the fractional boundary value problem is given. By using the properties of p-Laplacian operator and the Banach contraction mapping principle, some new results on the existence and uniqueness of solutions to the fractional boundary value problem are obtained. As an application, two examples are given to illustrate our main results. In particular, the boundary value conditions of fractional differential equation which is studied in this paper contains the Caputo fractional differentiation.
 Select Coincidence Points and Common Fixed Points for Mappings with ϕ-Contractive Conditions on Metric Spaces Yongjie Piao Acta mathematica scientia,Series A    2019, 39 (2): 235-243.   Abstract （39）   HTML （2）    PDF（pc） （273KB）（65）       Save We obtain the existence theorems of common fixed points and coincidence points for multi-valued mappings and single-valued mappings satisfying ϕ-contractive type conditions on metric spaces, also give several fixed point theorems.
 Select Solvability of Directional Perturbed Generalized Mixed Variational Inequalities in Reflexive Banach Spaces Xueping Luo, Mengtian Cui Acta mathematica scientia,Series A    2018, 38 (6): 1144-1152.   Abstract （38）   HTML （0）    PDF（pc） （331KB）（42）       Save Solvability of directional perturbed generalized mixed variational inequalities is discussed in reflexive Banach spaces, under a coercivity condition. In particular, the result we present that the set is directional perturbed is new. Our results generalize and extend some known results in this area (Acta Math Sci, 2016, 36A(3):473-480).