We considered a planar dielectric-layer modulated grating. It has been shown that the diffraction problem may be modeled by a Helmholtz equation with periodic coefficients. The diffraction problem may be solved by a Galerkin-spectral method. In this paper, the optimal error estimates and the numerical results for the Galerkin-spectral method are established.

The present paper deals with the nonlinear predator-prey singularly perturbed Robin problems for the reaction diffusion system. Under suitable conditions, by means of the theorem of differential inequalities the as ymptotic behavior of the solution for initial boundary value problems is discussed.

We studied the numerical approximation to Cahn-Hilliard equation with pseudo-spectral method. We proved the convergence and the st ability of the semi-discrete and the full-discrete soltions to the real solution and figured out the corresponding rate of the convergence. Finaly, we obtained the blow-up phenomena of the semi-discrete problem’s solution.

A new isospectral problem is designed by using a subalgebra of loop algebra A~₂ established. Then a family of new Liou ville integrable system is obtained by means of Tu scheme, which possesses a bi-Hamiltonian structure.As reduction case, a generalized nonlinear Schrodinger equation is presented.

In this paper, the theory of coincidence degree is used to study the existence of a periodic solution for the second order non-linear functional differential equation: x″(t)+f(x(t))x′(t)+g(x(t-τ(t)))=p(t), and two sufficient theorems are obtained for the existence of a periodic solution of T(T>0) of the equation.

The present paper presents the decomposition theorems for near rings satisfying any one of the conditions: (1) xy=y^{m(xypyn; (2) xy=ym(yx)pyn, where m=m(x,y)≥0, n=n(x,y)≥0 and p=p(x,y)>1 are integers.}

In this paper we utilize the fixed point theorem in con e to prove the existence of positive solutions to the singular nonlinear boundar y value problems for a class of third order differential equation: -(p₁(x)(p₂(x)y′)′)′=f(x,y), y(0)=y′(0)=y(1)=0.

In this paper is the concept of a u₀ ordered bounded open set introduced. By virtue of the fixed point index for the completely continuous operator on an unbounded set, the fixed point theorem of cone expansion and compression for the completely continuous operator on an unbounded set is proved in semi-ordered Banach spaces.

The present paper presents the concepts of group graded Γ-rings and graded Γ-ideals on the basis of the concept of Γ-rings and the obtained some important properties of group graded Γ-rings. By proving Levitizki’s theorem, Xie’s theorem and Herstein-Small’s theorem, e tc., and defining P_G-radical, WP_G-radical and QP_{G-radical, we draw the conclusions which are already true in Γ-rings.}

This paper proves that p≥11, 0≠h₀(b₁)^{3∈Ext7,3p2q+q_A(H*V(2),Z_{p) and 0≠(b1)3g0∈Ext8,3p2q+p q+2qA(H*V(2),Zp) in Adams spectral seqenc es converge to the nonzero elements of π*V(2) of p order respectivel y while 0≠h0(b1)3γ3∈Ext10,6p 2q+2pq+2qA(Zp,Zp) and 0≠(b1})3g₀γ₃∈Ext11,6p2q+3p q+3q_A(Z_p,Z_p) in Adams spectral sequences converge to the nonzero elements of π_*S of p order respectively.}

We investigated the solutions of stochastic functional differential equations. Using the so called Lyapunov functional process, we obtained that the zero solution is ultimate asymptotic stable under the meaning of mean value.

The present paper presents a continuous selection theorem for closed bounded convex set-valued mapping which is defined on a conpact metric space and takes images in a n-Banach space (n>1). This mapping satisfies the assumption which is different from weak lower semi-continuity. The application is made to the fixed point theorem.

For the initial value problem of a parabolic Monge-Ampère equation: V_sV_yy+ryV_yV_yy-θV²_{y< /sub>=0, Vyy<0, (s,y)∈［0,T)×R; V(T,y)=1-e^-λy, y∈R. arisen from optimal investment theory in mathematical finance, the existence an d the uniqueness as well as the application of the solution V=V(s,y) are established.}

In consideration of a specified average shortage-level of the classical newsboy problem-in which both the purchase timing and order quantity are simultaneously considered, We have built up the extended newsboy model of onetime ordering and seasonal selling, worked out the corresponding optima lsolution, analyzed the sensitivity of the optimal solution.

In this paper, the transformation rules with four parameters are given for the Conway’s cellular automata. By increasing the number of the neighborhood, we have found that the Wolfram’ class Ⅳ is not in the r=1 rule, but in the r≥2 rule.

The paper presents some counter examples to show the incorrectness of some results for the existence of solutions for boundary value problems of fourth-order ordinary differential equations.

The present paper presents a general existence result of periodic solutions for functional differential inclusion with nonconvex right side by means of the asymptotic fixed point theorem.

In this paper, we discuss the extension of Ostrowski-Taussky inequalit y over generalized positive definite matrices. The corresponding results of Horn R A, Johnson CR, You Zhao-yong and Sun Jian-dong are improved by the application of these generalized inequalities.

A novel improved method for kernel function of support vector machine(SVM) is proposed based on the information geometry theory. The kernel function is modified by means of a conformal mapping, which makes the kernel function data-dependent. The simulated results on the prediction of stock price show that the improved approach possesses better forecasting precision than the conventional models.

On the basis of the combination of the theory of the rough set with that of the lattice machine and the mechanisms of both the rough set and the lattice machine, data reduction was carried out. We have designed a prototype system for data miniing and verified the validity and the efficiency of algorithm making use of this system. The emulational tests show that this data mining prototype system can be applied to production practice extensively.

An HDLC(high level data link control)-like communication protocol asynchronous serial communication protocol with a high efficiency and byte transformation is presented, and the implementation of the algorithm of A HDLC protocol is presented also. The transform efficiency of AHDLC protocol is a nalyzed. The algorithm of this protocol is simple and the transform efficiency is 487% higher than that of ASCⅡ code transformation. The protocol can serve as a reference for the field of self defining communication protocol like servicing terminal and monitor and control terminaletc.

In this paper, the physical model of solar wings on a spacecraft with a flexible shaft is established. The dynamic equation of solar wings on the spacecraft with a flexible shaft is derived by using Lagrange equation. By transformation, the differential equation group of couple motions of solar wings and the central rigid body of the spacecraft is obtained. The influences of the torsional stiffness of a flexible shaft and rotational inertia of the solar wings on the attitude motion are analyzed. The influence of initial motions of the solar wings on the attitude motion is also analyzed.

This paper describes a system of small-vocabulary Mand arin keyword spotting speech recognition based on discrete HMMs. A novel confide nce measure for utterance verification is also presented. The confidence score i s obtained by rescoring putative keywords detected by the keyword spotter via a Viterbi search algorithm on the isolated keyword HMMs. Experimental results show that the confidence measure has good performance on discriminating keyword detections from false alarms.

Nanometer boron nitride(BN) thin films with various thickness(54~124 nm) were fixed on the (100)-oriented surface of n-Si(ρ=0.0 08~0.02 Ω·m) by r.f. magnetic sputtering physical vapor deposition(PVD). There are only two absorption peaks of the hexagonal-BN(h-BN) at about 1 380 cm^-1 and 780 cm^-1 in the FTIR spectra of the BN thin films. The field emission characteristics of the thin BN films were measured in a super hi gh vacuum system. It was found that the field emission characteristics of the th in BN films depend evidently on the thickness of the films. A turn-on electric f ield as low as 10 V/μm is obtained for the ～54 nm-thick BN film, and the emiss ion current density is estimated to be higher 240 μA/cm² at an electric field of 23 V/μm. It is shown by F-N curves that the electrons emitted fr om BN penetrate through the potential barrier at the surface of the BN thin film to vacuum tunneling under the exterior electric field action.

In this paper, RGD(Arg-Gly-Asp) liposome formulation as a drug carrier was conducted. A film-ultrasonic technique was chosen for pr eparation of liposome. The observation by electron microscope indicated that the particle diameter of liposome was basically homogenous, being about 100 nm and small vesicles. The content of RGD in liposome is 2.4～2.5 mg/mL with the entrapment efficiency of 70%. RGD liposome prepared by the method used has not only better stability, but also target tropism at pH 5.4～6.0. Therefore, the prepared liposome here may become a kind of RGD formulation with better target tropism to tumor.

Triphenyltin(Ⅳ) Ｎ，Ｎ-dibutyldithiocarbamate (Ph₃SnS₂CN(C₄H₉)₂) was synthesized by the reaction of Ph₃SnCl with NaS₂CN( C₄H₉)₂ and characterized by elemental analysis, UV, IR and ¹H NMR. The cr ystal structure was determined by X-ray single crystal diffraction， the structu re is a distorted triangular bipyramid with five-coordinated central tin atom.

A 1.4 kb keratinase gene(kerB) was isolated from Bacillus licheniformi s L-25 strain by a polymerase chain reaction(PCR) with L-25 genomic DNA as the template. Amplified keratinase gene was directly cloned into a cloning vector PC R2.1. Then the keratinase gene within PCR2.1 was excised by restriction endo nuclease XbaI-SpeI, and inserted into the plasmid of PUB18-P43 for expressing. This new plasmid(PLK18) was transformed into protease-deficient strain Bacillus s ubtilis DB104 competent cells. The FD-8(DB104/PLK18) strain could grow rapidly o n feather-medium and completely hydrolyze all feathers in the medium.

The catalytic oxidation of alcohols with hydrogen peroxide over coppe r hydroxyphosphate Cu₂(OH)PO₄ was studied. The catalytic data show that catalyst Cu₂(OH)PO₄ is very active for the oxidation of alcohols, especially for α-alcohols. Some important factors associated with the catalytic activity and selectivity have been investigated extensively.

The chemical species of the Fe and Mn oxides in the natural surface coatings, which were developed in Xianghai Wetland, were investigated via Tessie r’s sequential extraction procedure. The results show that the Fe oxides exist mainly in Fe and Mn incorporated oxides form, while the Mn oxides primarily in organic form. The resulted information obtained also indicates that the chemical species of Fe and Mn oxides in the natural surface coatings may be important factors causing the difference between the adsorption capacity of Pb onto the Mn oxides and that of Cd onto the Fe oxides in the natural surface coatings.

In this paper, a microwave plasma torch （MPT） ionization detector for gas chromatography is studied while argon（Ar） is used as the plasma support gas. The response characteristics and the ionization mechanism when O₂ and N₂ were, respectively, used as the sheath gas of ArMPT are evaluated. It shows better response characteristics when oxygen is used as sheathing ArMPT than that when nitrogen is used. than nitrogen. The detection limit of organic compounds was also investigated. The detector could stably and easily work under the atmospheric pressure, with a lower cost, a lower power and a lower gas flow-rate, moreover, the maximum e ndurance capacity of ArMPT to various organic compounds is superior to the simil ar detectors such as surfatron and TM₀₁₀, thus it is helpful to th e detection of the trace component in the complex mixtures.

We used Chinese Hamster Ovary Cells over-expressing insulin receptors (CHO-IR) as screening targets to select peptide ligands of insulin receptors from a phage display random hexapeptide library. After one round of acid elution and three rounds of competitive elution, recombinant phage clones were enriched , the specific binding affinities of which were assayed with the method of cell-ELISA and the Ｋ_d values of the six most positive clones among them were calculated. Furthermore, we found several motifs from the sequences of thes esix clones. The result is very valuable for studying on the interaction betwee n insulin and insulin receptor and designing small molecular drugs.

A series of PA66/phenoxy blends bas been prepared by melt-blending wit h a Brabender-like apparatus. The compatibility of the two polymers, the morphol ogy, the crystallization and the melting behavior, as well as the tensile behav ior of the blends were investigated. The single T_g and one phase mo rphology imply that PA66 is compatible with phenoxy. That may be attributed to t he hydrogen-bonding interaction between the oxygen and the nitrogen of the amide group of PA66 and the hydrogen of the hydroxyl group of phenoxy. With increasing phenoxy content, the cold crystallization temperature of PA66 in the blend increases, whereas the melting temperature and melt crystallization temperature, as well as the heat of fusion and the heat of crystallization decrease. Those phenomena support the conclusion that there is a stonger interaction between the two components, so that phenoxy inhibites the segment motion of PA66 in the blend, making the crystallization more difficult a nd the crystal less perfact. The tensile strength, the yielding strength and the elongation at break are higher than the corresponding linear additive values of the pure components and all show a maximum for the weight fraction of pheno xy from 30% to 40%.

The attenuation of chemical oxygen demand(COD) in rivers during the i cebound season was examined, and how the freezing action of ice-layer worked on the attenuation of COD was presented. The reduction model of COD in rivers by precipitation, biodegradation and freezing action of ice-layer was put forward. Via living example analyses, it should be concluded that the attenuatio n of organic pollutants operated by freezing action of ice-layer on rivers durin g the icebound season couldn’t be ignored.

We obtained one pure polyamine from staphylococcus aureus filtrate(SA F) by cation exchange resin column chromatography. The cell experiments proved that it has the accelerative effects on the cartilage cell. By the paper chromat ography, HPLC and IR spectrum we have identified it is spermine.

Acetyl-L-carnitine was synthesized from racemic carnitine chloride and acetic acid by chemical means. The purity of the refined product was over 99% a nd the yield was about 96%. Acetyl-L-carnitine with 98% ee was obtained by Snail enzyme catalyzing the resolution of racemic acetyl carnitine.

In alkaline medium,　a reaction forming a blue product takes place among sodium nitroprusside, phenol and hydroxylamine hydrochloride. The blue produ ct exhibits the maximum absorbance at a wavelength of 690　nm and can be measured by spectrophotometry. So a spectrophotometric method is developed for the dete rmination of sodium nitroprusside in the injection solution of sodium nitroprusside. The linear range of the method is 1.0×10^-5～8.0×10^-5 mol/L,　RSD%=0.57％(n=6). The standard addition recoveries of the real samples ’ analyses are more than 95%. The relative errors between the proposed and the standard methods are -1.2%～0.91%. Cl^-, SO^2-₄, 　HCO^-_{3,　Mg2+ and Ca2+　 don’t show obvious disturbance when their concentrations are respectively 40 times higher than that of sodium nitroprusside. The method is precise and the operation is easy and convenient.}

Plate wastewater containing Cr(Ⅵ) was treated quickly with hydrogen peroxide, in which micro amounts of Fe(Ⅱ) are applied as the catalyst under acid condition. This reaction makes Cr(Ⅵ) reduced into Cr(Ⅲ), and then the Cr(OH)₃ precipitate is seperated from the wastewater. Not a ny second polution matter is produced to the enviroment. 30 min later, the conte nt of Cr(Ⅵ) changed from 200 mg/L to below 0.2 mg/L. The removing rate may achieve above 99.9%.