in this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. we obtain one results, which can give a negative answer to an uniqueness question relate to the bruck conjecture dealt by liu and yang. meanwhile, we also establish a difference analogue of the bruck conjecture for entire functions of order less than 2, ...

A new type of chaos synchronization, projective dislocated lag synchronization, is investigated of Liu chaotic system under the framework of response system with five uncertain parameters. Based on adaptive technique, the projective dislocated lag synchronization of Liu chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized s...

A multi-type ant colony optimization (MACO) method for optimal land use allocation in large areas Xiaoping Liu a , Xia Li a , Xun Shi b , Kangning Huang a & Yilun Liu a a School of Geography and Planning, and Guangdong Key Laboratory for Urbanization and Geo-simulation, Sun Yat-sen University, Guangzhou, 510275, Guangdong, PR China b Department of Geography, Dartmouth College, Hanover, NH, 0375...

In this paper, we study the preliminary test method in a linear regression model. The Liu-type estimator is introduced when it suspected that parameter may be constraint to subspace. We also compare estimator, ridge and Liu mean squared error sense.

In the paper we deal with the uniqueness problem of meromorphic functions sharing a finite value with their derivatives. The results in this paper improve those given by Lahiri-Sarkar, Liu-Yang and others. In addition, a recent result of the first present author is complemented in this paper.

Tian Zhou 1,2, Zhiqiang Sun 2,*, Saiwei Li 2, Huawei Liu 2 and Danqing Yi 1 1 School of Materials Science and Engineering, Central South University, Changsha 410083, China; [email protected] (T.Z.); [email protected] (D.Y.) 2 School of Energy Science and Engineering, Central South University, Changsha 410083, China; [email protected] (S.L.); [email protected] (H.L.) * Correspondence: zqsun@csu....

In this paper we present Fourier type error analysis on the recent four discontinuous Galerkin methods for diffusion equations, namely the direct discontinuous Galerkin (DDG) method (Liu and Yan in SIAM J. Numer. Anal. 47(1):475–698, 2009); the DDG method with interface corrections (Liu and Yan in Commun. Comput. Phys. 8(3):541–564, 2010); and the DDG method with symmetric structure (Vidden and...

Latent Regression with Constrained Parameters to Determine the Weight Coefficients in Summary Index Model Qiaoling Tong a , Xuecheng Zou a , Qian Ding b , Tianzhen Liu b & Hengqing Tong c a Department of Electronic Science & Technology, Huazhong University of Science & Technology, Wuhan, China b School of Urban Design, Wuhan University, Wuhan, Hubei, China c Department of Mathematics, Wuhan Uni...