The existence of multiple positive solutions of differe ntial equation (φ(y′))′+g(t)f(t,y)=0 under nonlinear boundary value condi tion y(0)-B₀(y′(0))=y(1)+B1(y′(1))=0 is studied, where g is allowed to be singular at the end points of (0,1). The authors prove with the use of L eggett-Williams fixed-point theorem that the problem has at least three positi ve solutions. By further using the theorem, they show that more, even infinitely many positive solutions may be obtained.

The present paper deals with the location of the zeros of the radial minimizer of the p-Ginzburg-Landau functional with the nonva nishing Dirichlet boundary condition in the case of p>2. Based on the result , the uniqueness of the radial minimizer of this functional is proved.

This paper covers a method of constructing bivariate no n-tensor product wavelets by means of direction integral and thus it provid es the probability to inherit and improve the excellent properties of existed te nsor product wavelets, especially, Daubechies' wavelets.

In this paper is given the existence theorem of n on-trivial solution for a class of semilinear elliptic equations with the criti cal Sobolev exponent considering the first characteristic value by means of the Mountain Pass Lemma without the condition (PS), and of the P L Lions' concentrat ion-compactness principle.

The present paper introduces a combinatorial trigonomet ric polynomial operator Sn(f;r,θ) (where r is a given natural number) based on the values of f(θ) (where f(θ)∈C2π〖KG*2〗and f(θ ) is an odd function) with the nodes θ_k=kπ/(n+1)ⁿ _k=1. It has been proved that S_n(f;r,θ) uniformly converges to f(θ) (f(θ)∈C2π and f(θ) is an odd function) on the total real axis. And Sn(f;r,θ) reaches the best approximation order when used to approxim ate to f(θ) where f(θ)∈Cj2π (0≤j≤r-1) and f(θ) is an odd function.

Abstract: According to the iterative orbit the shelf-map of the same topologically conjugate class topological properties, we discuss a class of shelf-map on compact spaces and it is proved that if there exits a topolog ical semi-conjugate which is from compact spaces to symbolic spaces, then it ha s a minimal sub-system which displays Wiggins chaos and Martelli chaos.

By introducing a parameter λ, we have given a gene ralization of Hilbert's type of integral inequality with a best constant factor . As its application, we have built its equivalent form and the generalized form ula corresponding to the double series inequalities.

We have studied the numerical solutions to the nonlinea r Boussinesq equation using pseudo-spectral method and proved the convergence a nd optimal convergence rate of the semi-discrete and full-discrete solutions t o the real solutions of the continous problem.

From the B-spline basis in Ⅰ triangular partition , at first, we got a sufficient and necessary condition under which the function belongs to wavelet space; secondly, by means of this condition, we constructed four non-tensor product compactly supported continuous functions with symmetry; furthermore we demonstrated there are three functions whose shifts form Riesz b asis. Therefore we have obtained bivariate non-tensor product prewavelet with c ompactly support and symmetry in Ⅰ triangular partition.

A class of generalized Dini-convex function is introdu ce and its character is discussed, on the basis of which sufficient conditions o f generalized Dini-convex nonsmooth multiobjective programming are obtained.

In this paper, Lagrange's type of dynamics equations and boundary conditions for large deformation of automobile steel plate spring are deduced by using the nonlinear continu um mechanics method. And the numerical result approaching to the experimental re sult is achieved by simulating the force between the pieces. The method in this paper has improved the conventional designing method.

The relation among the B-H partial ordering, star partial ordering and left(right) partial ordering of a matrix is discussed, the equivalence among them are pointed out for some special matrices.

We studied a class of two order differential equation s by means of the functional method. We constructed a Hilbert space H in wh ich the element is continuous function and a operator T: H→H. Then we c an turn the existence of periodic solution of this class of equations into the s olvability of a operator equation.

The present paper covers new collision results and evol ution stability for the sub-classes of Wolfram Class Ⅳ in one-dimensional cellular automata with k=2, r=2. By planting the gene-pieces of the two su b-classes into the original environment and making them collision, we obtained three objects by the differential distance of gene-pieces. We also introduced the conception of the evolution stability of Wolfram Class Ⅳ, and found that the sub-classes of Wolfram Class Ⅳ are unstable.

Based on human vision and wavelet packets, we gave a me thod hiding gray digital image. The size of hidden image is 1/4 of that of origi nal image. This method can be applied to both hiding data and digital watermark by choosing an adaptive scale factor and it is robust for some image processing (such as JPEG compressing). From the given examples it is proved that this met hod is efficient.

In this article, first the mechanism of route optimization is introduced. Then, the performances before and after route optimization in mobile IP are analyzed in detail, the advantage and disadvantage of route optim ization are shown. Finally, the results of our experiments are presented.

The inference in general Bayesian netw orks is NP hard. However, computations can be usually reduced by means of simpli fying the structures of Bayesian networks with respect to the given query. In th is paper, three operations, omitting, replacing and traversing operations, are p roposed in order to realize this strategy. Empirical tests revealed that this st rategy can improve computational efficiency generally, sometimes remarkably.

A new method based on discrete points is proposed to mo del 3-D objects. Balls, which center at these discrete points and have differen t radiuses, were used to cover the surfaces of the objects to render the object s with realism. Compared with the classic mesh-based method, our method has the advantages of low storage, low calculation cost and implementation facilitation .

The neural network prediction technique based on the im pulse guidance is discussed. On the basis of the theory of discrete constrained optimal Lagrange multiplicator, we avoided to accept test points sightlessly wit h the simulated anneal technique from the approximate grades through the forward propagation method, and accelerated the search speed using Relaxed & Tighten st rategy. The experiment result shows that the training error and the prediction e rror have been improved greatly. Keywords: 收稿日期：

The present paper covers the photoionization sections o f the different processes and different partial waves of the excited state(1s ²2p)²P of Li calculated by means of R-matrix method in the single channe l approximation and the three-state close coupling approximation, and the regul arity of the photoionization sections of the partial waves with the effective qu antum number. The results show that in the three-state close coupling approxima tion, there exists a wealth of Rydberg series of resonance structures in the pro cedure of pho-toionization due to the interaction between the autoionization st ate and the continuation states.

Based on the dehydrogenation of a-Si∶H and the excimer laser annealing crystallization of a-Si thin films at various laser energy density, poly-silicon samples were obtained and characterized with XRD. According to the p-Si (111) plane characteristic peak intensity, widening information and interplanar distance, the influence of laser power density on the crystallization degree and stress was analyzed in detail. The grain size was estimated according to the Scherrer formula, the better process parameters of laser annealing crystallization p-Si were obtained and the three stages of laser radiation to the thin film material were attested.

Generally, coherent or noncoherent method can be applied to chaso-based digital communication for digital informationdetection. In this paper, a kind of noncoherent detection technology for chaotic signal based on probabilistic method is presented. The method consists of maximum-likelihood and Bayesian formulation. Nonconherent detection is realized by the reconstruction of chaotic signal at CSK receiver. Firstly, the transmitter undergoes bifurcation-parameter modulation according to transmitted digit. Due to the chaotic si gnals sensitivity to parameter, the received chaotic signals with different bifurcation parameter is different. Corresponding to the different calculated probabilities, the transmitted digital signal can be decode correctly. The simulation results using Matlab agrees well with the presented theory.

We have fabricated pentacene organic thin-film field-effect transistors (TFTs) by all-evaporation method. In this method, the active layer and the dielectric layer were fabricated by evaporation using pentacene a nd the poly(methylmethacrylate) (PMMA), respectively. The devices have a low operating voltage ranges and a higher mobility. The device operating mechanism has been discussed.

The chloromethylation of acetanilide and its derivatives in a polyformaldehyde-HCl system gave N-substituted products as the major product. The structures of the intermedi ates and the target molecule were confirmed by ^１Ｈ NMR and ^１３Ｃ NMR spectra in our experiments.

Cyt c/Au/AAO/PySSPy electrodes were made by immobilizing Cyt c on PySSPy modified gold electrodes covered with AAO templates. The cyclic voltammgram of Cyt c/Au/AAO/PySSPy films shows a pair of well-defined and nearly reversible peaks at about 0.059 V(vs. Ag/AgCl) in pH 6.8 PBS buffers, being the chara cteristic peaks of the Cyt c heme Fe(Ⅲ)/Fe（Ⅱ）redox couples. In the microenvironm ent of the AAO/PySSPy film, the electron transfer between Cyt c and the electrode was greatly enhanced. The soret absorption band positions suggest that Cyt c retained its native conformation in AAO templates. The hydrogen peroxide was cat alytically reduced at Cyt c/Au/AAO/PySSPy electrodes.

Using thin layer chromatography(TLC), liquid-chromatogram/mass spectrum(LC-MS), we separated a kind of fatty acid from the metabolites of mycoplana in transformer oil. And applying nuclear magnetic resonance (NMR), we characterized its chemical structure. Finally we proved that this kind of fatty acid was sebacic acid whose chemical structural formula is COOH_CH₂_CH₂_CH₂_CH₂_CH₂_CH₂_CH₂_CH₂_COOH.

wild streptococcus zooepidemicus 　C55151 was mutated by N-methyl-N-nitro-N-nitrosogua-nidin(NTG), a mutanted strain(J18) capable of producing HA in a high yield was acquired, which can produce HA twice as much as the original strain. The optimum fer mentation culture medium was studied by an orthogonal method, which contained glucose 50 g/L, yeast extract paste 30 g/L,MgSO₄ 0.5 g/L. It was found that SDS can improve the yield of HAobviously. The kinetics of the HA fermentation process of the original one was compared with that of the mutanted strain.

The asymmetric esterification of glycidol catalyzed by lipase was carried out in a nonaqueous medium. The effect of the replacement of water necessary for the funct ion of lipase with water-mimicking solvent on the resolution was investigated. It's found that the water produced from enzymatic esterification could be removed s uccessfully by addition of acetonitrile(0.4%, volume fraction) and 0.04　g anhydrous Na₂SO₄ into the reaction system. Under the optimal conditions, R- glycidyl butyrate with about ee 90% was prepared.

The ＥＣ５０(50% inhibitory growth concentration) values of nitrobenzenes were determined for population growth endpoint of escherichia coli and bacillus subtilis. Quantitative structure activity relationships (QSARs) were developed with negative logarithm of ＥＣ_５０(-lg ＥＣ _５０) in mole liter, as the dependent variable and six molecular descriptors lg　Ｐ, ¹X^Ⅴ , I, ^１Ｋa, ∑σ^－　and E_{LUMO as the independent variables. By means of multiple linear regression analysis, two equations were obtained, Ｅscherichia coli: -lg　ＥＣ^５０＝1.575+0.522lg　Ｐ+0.332I+0.341∑σ^－ , n＝27, r＝0.907, r^２=0.822, s=0.194, f=35.4. Bacillus subtilis：　 -lg ＥＣ５０＝0.744lg Ｐ+0.276I+0.230 ^１Ｋa+0.179ELUMO－0.928, n＝26, r＝0.964, r^２=0.928, s=0.113, f=68.1． The equations were used to estimate ＥＣ５０ for seven analogues and some toxicity mechanism was also discussed.}

The urokinase peptide inhibitors were screened in a phage display 6-mer peptide library by three rounds of selection basically according to the method described by Smith. To improve the screening effectiveness and specifi city, we designed a novel screening method in order to remove most of urokinase substrates from the peptide library. The potential inhibitors of urokinase were riched. After sequencing the clones, several related peptides were determined. Two 6-mer peptides were synthesized and their inhibitory constants to urokinase were determined to be 　88.6　μmol/L and 32.5　μmol/L, respectively.

A sensitive and reliable method, based on the amplification of AMG gene by fluorescent-labeled primers, was established to identify the sex of arch aeological human remains. Using this method, the sex was determined for five s ke letal remains, and the results are consistent with those of morpholo gical judgment. This sensitive and reliable method has a high value in forensic medicine, anthro pology, and archaeology.

Different calculating methods were used to account the eco-environmental water requirements, including those for lakes and ponds, plants, soil, habitats for wild animals and so on in Zhalong wetland. The results indicate that the eco-environmental water requirements in Zhalong wetland is about 5.09×10⁸ m³, and the minimum value is approximately 2.00×10 ⁸ m³.

The effect of initial pH values on the degradation efficiency of the landfill leachates by catalytic wet air oxidation(CWAO) was studied and the relationship between pH value and the dissolution of the catalyst was investigated. Meanwhile, the ki netic process of the decomposition is described with Elovich equation, and the corre ction relationship is also described between initial pH value and the removal rate of the dissolution of the landfill leachates used.