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Search Results: 1 - 10 of 104354 matches for " Yujun Zhang "
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Fixed Points for Discontinuous Monotone Operators
Cui Yujun,Zhang Xingqiu
Fixed Point Theory and Applications , 2010,
Abstract: We obtain some new existence theorems of the maximal and minimal fixed points for discontinuous monotone operator on an order interval in an ordered normed space. Moreover, the maximal and minimal fixed points can be achieved by monotone iterative method under some conditions. As an example of the application of our results, we show the existence of extremal solutions to a class of discontinuous initial value problems.
Fixed Points for Discontinuous Monotone Operators
Yujun Cui,Xingqiu Zhang
Fixed Point Theory and Applications , 2010, DOI: 10.1155/2010/926209
Abstract: We obtain some new existence theorems of the maximal and minimal fixed points for discontinuous monotone operator on an order interval in an ordered normed space. Moreover, the maximal and minimal fixed points can be achieved by monotone iterative method under some conditions. As an example of the application of our results, we show the existence of extremal solutions to a class of discontinuous initial value problems.
Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions
Xingqiu Zhang,Yujun Cui
Boundary Value Problems , 2010, DOI: 10.1155/2010/862079
Abstract:
Positive Solutions for Fourth-Order Singular -Laplacian Differential Equations with Integral Boundary Conditions
Zhang Xingqiu,Cui Yujun
Boundary Value Problems , 2010,
Abstract: By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo- as well as positive solutions for fourth-order singular -Laplacian differential equations with integral boundary conditions. Our nonlinearity may be singular at , , and . The dual results for the other integral boundary condition are also given.
On an entropy of $Z_+^k$-actions
Yujun Zhu,Wenda Zhang
Mathematics , 2013,
Abstract: In this paper, a definition of entropy for $\mathbb{Z}_+^k(k\geq2)$-actions due to S. Friedland \cite{Friedland} is studied. Unlike the traditional definition, it may take a nonzero value for actions whose generators have finite (even zero) entropy as single transformations. Some basic properties are investigated and its value for the $\mathbb{Z}_+^k$-actions on circles generated by expanding endomorphisms is given. Moreover, an upper bound of this entropy for the $\mathbb{Z}_+^k$-actions on tori generated by expanding endomorphisms is obtained via the preimage entropies, which are entropy-like invariants depending on the "inverse orbits" structure of the system.
Alternative Complement Activity in the Egg Cytosol of Amphioxus Branchiostoma belcheri: Evidence for the Defense Role of Maternal Complement Components
Yujun Liang, Shicui Zhang, Zhiping Wang
PLOS ONE , 2009, DOI: 10.1371/journal.pone.0004234
Abstract: Background The eggs in most invertebrates are fertilized externally, and therefore their resulting embryos are exposed to an environment full of microbes, many of which are pathogens capable of killing other organisms. How the developing embryos of invertebrates defend themselves against pathogenic attacks is an intriguing question to biologists, and remains largely unknown. Methodology/Principal Findings Here we clearly demonstrated that the egg cytosol prepared from the newly fertilized eggs of amphioxus Branchiostoma belcheri, an invertebrate chordate, was able to inhibit the growth of both the Gram-negative bacterium Vibrio anguillarum and the Gram-positive bacterium Staphylococcus aureus. All findings point to that it is the complement system operating via the alternative pathway that is attributable to the bacteriostatic activity. Conclusions/Significance This appears to be the first report providing the evidence for the functional role of the maternal complement components in the eggs of invertebrate species, paving the way for the study of maternal immunity in other invertebrate organisms whose eggs are fertilized in vitro. It also supports the notion that the early developing embryos share some defense mechanisms common with the adult species.
Existence and nonexistence results for second-order Neumann boundary value problem
Feng Wang,Yujun Cui,Fang Zhang
Surveys in Mathematics and its Applications , 2009,
Abstract: In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem -u"+Mu=f(t,u), t∈(0,1) with Neumann boundary conditions u'(0)=u'(1)=0, where M>0, f∈C([0,1]×R+, R+). By making use of fixed point index theory in cones, some new results are obtained.
A Simple Approach to Optimal CUR Decomposition
Haishan Ye,Yujun Li,Zhihua Zhang
Computer Science , 2015,
Abstract: Prior optimal CUR decomposition and near optimal column reconstruction methods have been established by combining BSS sampling and adaptive sampling. In this paper, we propose a new approach to the optimal CUR decomposition and near optimal column reconstruction by just using leverage score sampling. In our approach, both the BSS sampling and adaptive sampling are not needed. Moreover, our approach is the first $O(\mathrm{nnz}(\A))$ optimal CUR algorithm where $\A$ is a data matrix in question. We also extend our approach to the Nystr{\"o}m method, obtaining a fast algorithm which runs $\tilde{O}(n^{2})$ or $O(\mathrm{\nnz}(\A))$
Study on the Concentration Inversion of NO & NO2 Gas from the Vehicle Exhaust Based on Weighted PLS  [PDF]
Kai Zhang, Yujun Zhang, Kun You, Yibing Lu, Qixing Tang, Ying He, Guohua Liu, Boqiang Fan, Dongqi Yu, Wenqing Liu
Optics and Photonics Journal (OPJ) , 2017, DOI: 10.4236/opj.2017.78B015
Abstract:
It becomes a key technology to measure the concentration of the vehicle exhaust components with the absorption spectra. But because of the overlap of gas absorption bands, how to separate the absorption information of each component gas from the mixed absorption spectra has become the key point to restrict the precision of the optical detection method. In this paper, the ex-perimental platform for the absorption spectrum of vehicle exhaust components has been established. Based on the ultraviolet absorption spectra measured with the platform of exhaust gas NO & NO2, the concentration regression model for the two components has been established with weighted partial least squares regression (WPLS). Finally the each spectral characteristic information of NO & NO2 gas has been separated and the concentration of each corresponding component has been reversed successfully.
BN Nanoparticles/Si3N4 Wave-Transparent Composites with High Strength and Low Dielectric Constant
Dongliang Zhao,Yujun Zhang,Hongyu Gong,Baoxin Zhu,Xiaoyu Zhang
Journal of Nanomaterials , 2011, DOI: 10.1155/2011/246847
Abstract: Si3N4 wave-transparent composites with different volume content of BN nanoparticles (BNnp/Si3N4) were prepared by gas pressure sintering at 1800°C in N2 atmosphere. The effects of BN nanoparticles on the dielectric and mechanical properties of BNnp/Si3N4 composites were investigated. The results showed that the addition of the BN nanoparticles improved the dielectric properties of BNnp/Si3N4 composites effectively and decreased the mechanical properties. When the volume content of BN nanoparticles was 10%, the dielectric constant and dielectric loss tangent were 4.31 and 0.006, respectively, and the bending strength and fracture toughness still reached 198.9 MPa and 3.36 MPa·m1/2. The high mechanical properties of BNnp/Si3N4 composites with 10% BN nanoparticles were attributed to homogeneously dispersed BN nanoparticles which were embedded in the pores formed by the rod-like β-Si3N4.
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