Positive solutions for third order multi-point singular boundary value problems

We study a third order singular boundary value problem with multi-point boundary conditions. Sufficient conditions are obtained for the existence of positive solutions of the problem. Recent results in the literature are significantly extended and improved. Our analysis is mainly based on a nonlinear alternative of Leray-Schauder.     

Empirical Likelihood of Quantile Difference with Missing Response When High-dimensional Covariates Are Present

Acta Mathematica Sinica, English Series - We, in this paper, investigate two-sample quantile difference by empirical likelihood method when the responses with high-dimensional covariates of the two...     

Chemical Constituents of Ampelopsis japonica

Chemistry of Natural Compounds -     

Positive Periodic Solutions of Singular Third-Order Functional Differential Equations with p-Laplacian-Like Operators

Mathematical Notes - The aim of this paper is to consider singular third-order functional differential equations with p-Laplacian-like operator of the form $$left( {{varphi _p}left( {x^{prime...     

High promoting of selective oxidation of ethylbenzene by Mn-ZSM-5 synthesized without organic template and calcination

Research on Chemical Intermediates - Acetophenone is a valuable and widely applied intermediate in chemical industry, but limited by the synthesis with low-cost and efficient heterogeneous...     

Enhanced optical transmission through a silver plate with a slit array

The near- and far-field properties of a large-scale silver plate with a slit array are studied by applying the FDTD method. The far region scattering properties with different incident angles are also discussed. We find out that the silver plate with a suitable placed narrow slit array can excite the enhanced optical transmission (EOT) by the excitation of the surface plasmon polarition (SPP) and the Fabry-Perot resonance, and the cutoff angle is much larger than the ordinary LEDs. These unique properties suggest possible applications to the light-transparent metal contact.     

Object tracking based on two-dimensional PCA

In this paper, we present a novel object tracking method based on two-dimensional PCA. The low quality of images and the changes of the object appearance are very challenging for the object tracking. The representation of the training features is usually used to solve these challenges. Two-dimensional PCA (2DPCA) based on the image covariance matrix is constructed directly using the original image matrices. An appearance model is presented and its likelihood estimation has been established based on 2DPCA representation in this paper. Compared with the state-of-the-art methods, our method has higher reliability and real-time property. The performances of the proposed tracking method are quantitatively and qualitatively shown in experiments.