期刊：
Nonlinear Analysis, Theory, Methods and Applications,2010年73(2):440-449 ISSN：0362-546X
通讯作者：
Sun, JT
作者机构：
[Sun, Juntao; Chen, Haibo; Yang, Liu] Department of Mathematics, Central South University, Changsha, 410075 Hunan, China;[Yang, Liu] Department of Mathematics, Hengyang Normal University, Hengyang, 421008 Hunan, China
通讯机构：
[Sun, JT] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Impulsive differential equations;Boundary value problems;Critical points;Variational method;Local linking
作者机构：
[Liu Yang] Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China;[Liu Yang; Haibo Chen] Department of Mathematics, Central South University, Changsha, Hunan 410075, China
通讯机构：
[Chen, HB] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Riemann–Liouville differentiation;Fractional differential equation;Positive solution;Iterative schemes;Boundary value problem
作者机构：
[Chen, Haibo; Yang, Liu; Yang, Xiaoxia] Department of Mathematics, Central South University, Changsha, Hunan 410075, China;[Yang, Liu] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, China
通讯机构：
[Chen, HB] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Fourth-order differential systems;Solution generated from a boundary condition;Critical point
期刊：
ADVANCES IN DIFFERENCE EQUATIONS,2011年 ISSN：1687-1847
通讯作者：
Yang, L
作者机构：
[Yang, Liu; Chen, Haibo] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.;[Yang, Liu] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Yang, L] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
摘要：
We study a nonlocal boundary value problem of impulsive fractional differential equations. By means of a fixed point theorem due to O'Regan, we establish sufficient conditions for the existence of at least one solution of the problem. For the illustration of the main result, an example is given.
期刊：
Nonlinear Analysis, Theory, Methods and Applications,2011年74(2):413-423 ISSN：0362-546X
通讯作者：
Sun, J.(sunjuntao2008@163.com)
作者机构：
[Sun, Juntao ; Chen, Haibo ; Yang, Liu ] Department of Mathematics, Central South University, Changsha, 410075 Hunan, China;[ Yang, Liu ] Department of Mathematics, Hengyang Normal University, Hengyang, 421008 Hunan, China
通讯机构：
[Sun, JT] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Asymptotically linear - Non-Linearity - Nonlinear SchrdingerPoisson system - Positive solution - Vanishing potential - Variational methods
摘要：
In this paper, we study the Schrodinger-Poisson system {-Delta u + V(x)u + lambda phi(x)u = K(x)f(u), in R(3), -Delta phi = u(2), u > 0, in R(3), (SP) and prove the existence of positive solutions for system (SP) when the nonlinearity f has growth at most linear for lambda small, allowing the potential V(x) to vanish at infinity. In addition, also we obtain the nonexistence of a nontrivial positive solution for lambda >= 1/4. (C) 2010 Elsevier Ltd. All rights reserved.
期刊：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2014年65(5):885-903 ISSN：0044-2275
通讯作者：
Yang, Zhifeng
作者机构：
[ Yang, Zhifeng ; Dai, Qiuyi ] College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, China;[ Yang, Zhifeng ] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan, China
通讯机构：
[Dai, QY] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China.
关键词：
35L05 - 35L20 - 35L70 - 93D15 - Exponential decay of the solutions - Exponential decays - Global existence - Initial-boundary value problems
期刊：
Complex Variables and Elliptic Equations: An International Journal,2013年58(12):1647-1653 ISSN：1747-6933
通讯作者：
Ponnusamy, S
作者机构：
[Liulan Li] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.;[Saminathan Ponnusamy] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India.
通讯机构：
[Ponnusamy, S] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India.
摘要：
The convolution of two univalent harmonic mappings of the unit disc onto convex domains is not necessarily univalent. Dorff, Nowak and Wołoszkiewicz formulated an open problem concerning the convolution of two right half-plane mappings when one of them is fixed. In this article we solve this open problem.
期刊：
Nonlinear Analysis, Theory, Methods and Applications,2011年74(17):6459-6468 ISSN：0362-546X
通讯作者：
Chen, H.(mathchb@mail.csu.edu.cn)
作者机构：
[ Chen, Haibo ; Yang, Liu ; Sun, Juntao ] Department of Mathematics, Central South University, Changsha, 410075 Hunan, China;[Yang, Liu ] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, 421008 Hunan, China
通讯机构：
[Chen, HB] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Critical points - Hamiltonian systems - Homoclinic solutions - Second orders
摘要：
The electronic structures and magnetic properties in zinc-blende structure ZnS doped with nonmagnetic noble metal palladium have been investigated by means of density functional theory (DFT) calculations employing the generalised gradient approximation (GGA) and the GGA plus Hubbard U (GGA + U). Both the GGA and GGA + U methods demonstrate half-metallicity in Pd-doped ZnS with total magnetic moments of about 2.0 mu(B) per supercell. The half-metallic ferromagnetism stems from the hybridisation between Pd-4d and S-3p states and could be attributed to a double-exchange mechanism. These results suggest a recipe for obtaining a promising dilute magnetic semiconductor by doping nonmagnetic 4d elements in ZnS matrix.
关键词：
Magnetic property;Zinc-blende CdS;Cd vacancy;First principles
摘要：
The magnetic property induced by neutral Cd and S vacancies in CdS bulk and thin film are investigated, using first principles simulation. For bulk CdS, the magnetism originates from Cd, instead of S, vacancies. The ferromagnetism with a Curie temperature above room temperature can be expected. For CdS thin film, both Cd and S vacancies does not yield any magnetism at the (111) surface, while local magnetic moments at the outermost S plane of the (001) surface is ascribed to the surface effect. The ferromagnetism at S-terminated (001) surface can account for the experimental observation. (C) 2013 Elsevier B.V. All rights reserved.
期刊：
Zeitschrift fur Angewandte Mathematik und Physik,2015年66(3):727-745 ISSN：0044-2275
通讯作者：
Yang, ZF
作者机构：
[Yang, Zhifeng] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang;[Yang, Zhifeng] Hunan, China;Hunan, China
通讯机构：
[Yang, ZF] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421002, Hunan, Peoples R China.
期刊：
Applied Mathematics and Computation,2015年266:539-559 ISSN：0096-3003
通讯作者：
Li, Xiaoyue
作者机构：
[ Li, Xiaoyue ; Ouyang, Mengqian ] School of Mathematics and Statistics, Northeast Normal University, Changchun, China;[Ouyang, Mengqian ] School of Mathematics and Statistics, Hengyang Normal University, Hengyang, China
通讯机构：
[Li, XY] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China.
作者机构：
[ Liu, Zhi-Hong ] Department of Mathematics, Honghe University, Mengzi 661100, Yunnan, China;[Wang, Zhi-Gang ] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008, Hunan, China;[ Cata, Adriana ] Department of Mathematics, University of Oradea, Str. Universitaii, No. 1, Romania
通讯机构：
[Wang, ZG] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
作者机构：
[Rasila, Antti] Aalto Univ, Dept Math & Syst Anal, Aalto 00076, Finland.;[Ponnusamy, Saminathan] Chennai Ctr SETS, Indian Stat Inst, MGR Knowledge City, Madras 600113, Tamil Nadu, India.;[Chen, Shaolin] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
关键词：
Majorant;Bloch space;Hardy space;Lipschitz space
摘要：
In this paper, we establish a Bloch-type growth theorem for generalized Bloch-type spaces and discuss relationships between Dirichlet-type spaces and Hardy-type spaces on certain classes of complex-valued functions. Then we present some applications to non-homogeneous Yukawa PDEs. We also consider some properties of the Lipschitz-type spaces on certain classes of complex-valued functions. Finally, we will study a class of composition operators on these spaces.
期刊：
Proceedings of the Indian Academy of Sciences: Mathematical Sciences,2012年122(4):583-595 ISSN：0253-4142
通讯作者：
Wang, X.(xtwang@hunnu.edu.cn)
作者机构：
[Chen, S. ] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, China;[ Ponnusamy, S. ] Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India;[Chen, S. ; Wang, X. ] Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
通讯机构：
[Wang, X] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China.
期刊：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2013年408(2):589-596 ISSN：0022-247X
通讯作者：
Ponnusamy, S
作者机构：
[Li, Liulan] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.;[Ponnusamy, Saminathan] Indian Stat Inst, Chennai Ctr, Soc Elect Transact & Secur, MGR Knowledge City, Madras 600113, Tamil Nadu, India.
通讯机构：
[Ponnusamy, S] Indian Stat Inst, Chennai Ctr, Soc Elect Transact & Secur, MGR Knowledge City, CIT Campus, Madras 600113, Tamil Nadu, India.
关键词：
Harmonic mappings;Partial sum;Univalent;Convex;Starlike and close-to-convex mappings
摘要：
One of the classical results from Szego shows that if h(z) = z + Sigma(infinity)(n=2) a(n)z(n) is analytic and univalent in the unit disk D := {z is an element of C: vertical bar Z vertical bar < 1), then the section s(n) (h)(z) = Sigma(n)(k=1) a(k)z(k) of h is univalent in vertical bar z vertical bar < 1/4. The exact (largest) radius of the univalence r(n) of s(n) (h) remains an open problem. On the other hand, not much is known in the case of harmonic univalent functions. It is then natural to consider the class P-H(0) of normalized harmonic mappings f = h + (g) over bar in the unit disk D satisfying the condition Re h' (z) > vertical bar g'(z)vertical bar for z is an element of D, where g'(0) = 0. Functions in P-H(0) are known to be univalent and close-to-convex in D. In this paper, we first show that each f is an element of P-H(0) is convex in the disk vertical bar z vertical bar < root 2 - 1, and then determine the value of r so that the partial sums off f is an element of P-H(0) are convex in vertical bar z vertical bar < r. (C) 2013 Elsevier Inc. All rights reserved.
摘要：
Let G aS, SU(2, 1) be a non-elementary complex hyperbolic Kleinian group. If G preserves a complex line, then G is a",-Fuchsian; if G preserves a Lagrangian plane, then G is a"e-Fuchsian; G is Fuchsian if G is either a",-Fuchsian or a"e-Fuchsian. In this paper, we prove that if the traces of all elements in G are real, then G is Fuchsian. This is an analogous result of Theorem V.G. 18 of B. Maskit, Kleinian Groups, Springer-Verlag, Berlin, 1988, in the setting of complex hyperbolic isometric groups. As an application of our main result, we show that G is conjugate to a subgroup of S(U(1)xU(1, 1)) or SO(2, 1) if each loxodromic element in G is hyperbolic. Moreover, we show that the converse of our main result does not hold by giving a a",-Fuchsian group.
期刊：
Computers and Mathematics with Applications,2016年72(6):1629-1640 ISSN：0898-1221
通讯作者：
Liu, ZS
作者机构：
[Yang, Liu] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang;[Yang, Liu; Liu, Zhisu] Hunan;[Yang, Liu] 421008, China;[Yang, Liu] Department of Mathematics, Hunan University, Changsha;[Yang, Liu] 410075, China
通讯机构：
[Liu, ZS] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
作者机构：
[ Ouyang, Zigen ; Liu, Zhisu ] School of Mathematics and Physics, University of South China, Hengyang;[ Ouyang, Zigen ; Yang, Liu ; Liu, Zhisu ] Hunan;[ Ouyang, Zigen ; Liu, Zhisu ] 421001, China;[Yang, Liu ] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang;[Yang, Liu ] 421008, China
通讯机构：
[Liu, ZS] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
摘要：
In this paper, we study the following Kirchhoff type equation with critical growth {-(a + b integral(Omega) vertical bar del u vertical bar(2)dx) del u = lambda u + mu vertical bar u vertical bar(2)u + vertical bar u vertical bar(4)u in Omega, u = 0 on partial derivative Omega, where a > 0, b >= 0 and Omega is a smooth bounded domain in R-3. When the real parameter mu is larger than some positive constant, we investigate the multiplicity of nontrivial solutions for the above problem with parameter lambda belonging to a left neighborhood of the Dirichlet eigenvalue of the Laplacian operator -Delta. (C) 2016 Elsevier Ltd. All rights reserved.
期刊：
JOURNAL OF INEQUALITIES AND APPLICATIONS,2014年 ISSN：1029-242X
通讯作者：
Zhang, GH
作者机构：
[Zhang, Guohui] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421002, Peoples R China.
通讯机构：
[Zhang, GH] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421002, Peoples R China.
关键词：
END random variables;complete convergence;weighted sum
摘要：
In this paper, the author studies the complete convergence results for Sung's type weighted sums of sequences of END random variables and obtains some new results. These results extend and improve the corresponding theorems of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010, doi:10.1155/2010/630608).
