Chenzhou, China
Chenzhou, China

Xiangnan University also as XNU, is a full-time public university affiliated with the Hunan Provincial Education Department. The university was formed by amalgamating the former Chenzhou Teachers’ College, Chenzhou Medicine College, Chenzhou Pedagogical Academy, and Chenzhou Teachers Training School. The campus cover an area of over 100 hectares with a building area of 460,000 square meters.Xiangnan University is a comprehensive university focusing on teachers training and medical education. It includes eight disciplines such as literature, science, medicine, education, management, engineering, economics, law, etc. Xiangnan University consists of 19 faculties and offers 30 Bachelor's degree programs . The university has also established 2 provincial key building disciplines, 3 provincial fine courses and 1 provincial key laboratory. There are over 15,000 full-time students enrolled from 27 provinces all over China, plus 5,000 adult learners. Wikipedia.

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This article is concerned with a class of neutral type cellular neural networks with D operator. By using Lyapunov functional method and differential inequality techniques, we establish a novel result to ensure the existence and global exponential stability of pseudo almost periodic solutions for the addressed system. In addition, an example and its numerical simulations are given to illustrate our result. © 2017 Springer Science+Business Media New York

Chen X.G.,Xiangnan University
Cluster Computing | Year: 2017

Aiming at the reliability evaluation method of the complex network, and network reliability is an important index in measuring the reliability of large-sized network. The Monte Carlo method is studied, and the general principle of MC simulation and the reliability evaluation approach based on MC are introduced. Sampling is very important in the Monte Carlo simulation, and random variable is studied, and several kinds of discrete distributions are introduced. A novel reliability evaluation method based on Monte Carlo method is proposed. To evaluate network reliability efficiently, the proposed method generates time-pointer of the arc failure events and constructs the event-table of the complex network, and updates the network states, and sampling is selected by geometric distribution. Precision and unbiased of the reliability evaluating are discussed. Furthermore, a series of numerical experiments are implemented to compare the efficiency of the CMC and the other traditional methods under the same experimental condition. © 2017 Springer Science+Business Media New York

Xu Y.,Xiangnan University
Nonlinear Dynamics | Year: 2017

This paper is concerned with the effect of delay on the asymptotic behavior of a differential neoclassical growth model with multiple time-varying delays. By using the fluctuation lemma and some differential inequality technique, delay-dependent criteria are obtained for the global attractivity of the addressed system. Meanwhile, some numerical examples are given to illustrate the feasibility of the theoretical results. © 2017 Springer Science+Business Media Dordrecht

Tian Y.,Xiangnan University | Bai Z.,Shandong University of Science and Technology
Computers and Mathematics with Applications | Year: 2010

In this paper, we consider the existence of solutions for a class of three-point boundary value problems involving nonlinear impulsive fractional differential equations. By use of Banach's fixed point theorem and Schauder's fixed point theorem, some existence results are obtained. © 2010 Elsevier Ltd. All rights reserved.

Chen F.,Xiangnan University | Nieto J.J.,University of Santiago de Compostela | Zhou Y.,Xiangtan University
Nonlinear Analysis: Real World Applications | Year: 2012

We present some results for the global attractivity of solutions for fractional differential equations involving RiemannLiouville fractional calculus. The results are obtained by employing Krasnoselskii's fixed point theorem. Similar results for fractional differential equations involving Caputo fractional derivative are also obtained by using the classical Schauder's fixed point theorem. Several examples are given to illustrate our main results. © 2011 Elsevier Ltd. All rights reserved.

Li H.-B.,Xiangnan University
Acta Crystallographica Section E: Structure Reports Online | Year: 2011

The mol-ecule of the title compound, C19H15BrN 2O2, displays a pseudo-trans conformation about the N - N bond [C - N - N=C torsion angle = 164.7 (2)°]. The dihedral angle between the planes of the benzene ring and the naphthyl system is 70.1 (2)°. In the crystal, mol-ecules are linked into C(4) chains along the c axis by N - H⋯O hydrogen bonds.

In the present paper, some basic properties of prime filters in MTL-algebras are studied. By introducing some topological structures on the set of all prime filters and the set of all maximal filters, respectively, and by investigating the topological properties of them, we conclude that the set of all prime filters is a compact T0 topological space and the set of all maximal filters is a compact Hausdorff topological space. By studying the relation between valuations and filters in MTL-algebras, we prove that a MTL-algebra is homomorphic to a subalgebra of a MTL-cube over the set of all prime filters and illustrate that the Stone representation theorem of Boolean algebras is only a special case of fuzzy sets representation theorem of MTL-algebras. Thus the well-known Stone representation theorem of Boolean algebras is extended to MTL-algebras. © 2011 Elsevier B.V.

Chen F.,Xiangnan University | Zhou Y.,Xiangtan University
Computers and Mathematics with Applications | Year: 2011

In this paper, some attractivity results for fractional functional differential equations are obtained by using the fixed point theorem. By constructing equivalent fractional integral equations, research on the attractivity of fractional functional and neutral differential equations is skillfully converted into a discussion about the existence of fixed points for equivalent fractional integral equations. Two examples are also provided to illustrate our main results. © 2011 Elsevier Ltd. All rights reserved.

Liao F.,Central South University | Liao F.,Xiangnan University | Tang X.H.,Central South University | Zhang J.,Central South University
Zeitschrift fur Angewandte Mathematik und Physik | Year: 2015

This paper is concerned with the following elliptic system:(Formula presented.),where V and W are 1-periodic in x, and W(x,s,t) is super-quadratic in (Formula presented.) for some a, b > 0. By using a generalized linking theorem established by Li and Szulkin, we are able to obtain the existence of nontrivial solutions under some more generic assumptions on the nonlinearity. © 2014, Springer Basel.

Chen F.,Xiangnan University
Computers and Mathematics with Applications | Year: 2012

In this paper, we give existence results for solutions of impulsive boundary value problems involving the Caputo fractional derivative of order α∈(0,1) by applying the coincidence degree theory. An example is also given to demonstrate our main result. © 2011 Elsevier Ltd. All rights reserved.

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