One dimension p-Laplace equation (p(u′(t)))′+q(t)f(t,u(t),u′(t))=0 with boundary value conditions u(t)=u(1-t), u′(0)-u′(1)=u(1/2) was studied. Under certain conditions the above problem has at least three symmetric positive solutions shown by virtue of the AveryPeterson fixedpoint theorem and at least 2n+1 symmetric positive solutions if the function f satisfies some additional conditions.

Based on the well known KKM type theorem, two new Ky Fan type coincidence theorems were  obtained, and then as the application of the above results, the intersection theorem, the existence theorems of solution for a family of inequalities and the theorems of minimax inequalities were respectively given on generalized convex spaces.

The authors studied the spactral geometry of quasitotally real minimal submanifolds in a complex projective space. By means of the method of moving frames and caculating Laplacian of the mean curvature vector, the eigenvalue inequality for the submanifolds which only related to intrinsic geometric quality was established. This result generated correlation theorms to generic submanifolds in a complex projective space. Moreover, the authors also got one necessary and sufficient condition on uorder immersion of quasitotally real minimal submanifolds.

Using the theory of functional identities in rings, we dealt with a class of functional identities with automorphisms in prime rings. Necessary conditions were given for the functional identities to have unique standard solution.

The positive definite solutions of the matrix equation X-A*X^-αA-B*X^-βB=Iα,β∈(0,1］ were investigated. Necessary and sufficient conditions for   the existence of positive definite solutions were derived, which generalize the existing related results. Anecessary condition for the existence of the equation to have only a solution and the iterative formula for this solution were obtained. Finally, we got an inverse iterative method for solving the equation.

Under the classical differential sense, the Toeplitz operator with general symbol on the Dirichlet space is defined by directly using  integral. And a class of continuous symbols is introduced. Toeplitz operators on the Dirichlet space with these symbols are considered, obtaining the sufficient conditions for finite rank Toeplitz operators and zero product pro
blems on the Dirichlet space.

Let C be a closed convex subset of real q-uniformly smooth Banach space, and T_i: C→C(i=1,2,…,N) be a finite family of strict pseudocontractive mappings such that . It is shown via viscosity approximation methods that under some suitable conditions, the modification of the Mann iteration sequence converges strongly to a common fixed point of T₁,T₂,…,T_N.

Using a continuation theorem based on Gaines and Mawhin’s coincidence degree, we studied the global existence of positive periodic solutions of a predatorprey diffusive system with mutual interference and ratio dependence. A set of easily verifiable sufficient conditions were obtained, which improved some known results. The results show  when the prey population intrinsic increasing rate is greater than the total consumption rate, the system will bring periodic oscillation of biological nature.

A new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to find approximate periodic solutions for some wellknown nonlinear problems. The most interesting features of the proposed method are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.

A class of infinitelylarge initial value problem was considered for the quasilinear singular perturbed equation. Via a simple transformation, this equation was transformed into Tihonov system. Under suitable conditions, we constructed its formula solution using the method of boundary functions. At the same time, the (n+1)th order asymptotic solution of the problem was given in the whole interval.

By using the method of two\|end cutting-off-tail, consistency of weighted sums for sequence of NA identically distributed random variables is solved, which is similar to that of independent sequences obtained.

The authors introduced the conception of generalized Langton parameters λ₁ and λ₂ to the onedimensional total rule cellular automata with k=3,r=2. The authors studied the rule space of Wolfram class Ⅰ total rule cellular automata and obtained the figures of relation between λ_1 and R, λ_2 and R and the phase figure. The results show that de
scribing the total rule space of onedimensional cellular automata with k=3, r=2with two parameters λ₁ and λ_2, one can obtain more detailed phase space structure of Wolfram class Ⅰ.

The Multilevel Negative Selection Algorithm was improved by introducing a new detector model and generating method. The new algorithm can solve the problem of a high number of detectors. Therefore, both the generation efficiency and the detecting efficiency are improved as well. The experimental results prove that both the number of detectors and the time for generating detectors are decreased greatly by the improved algorithm on the premise that the precision of detection is unchanged, making it approach the realtime detection.

An integration framework and a UML (Unified Modeling Language) design method of PC(Product Configuration) model were given based on the function module design of PC manager. The method supports all kinds of informatization management, which implements the seamless integration in the function and data layers between PC manager and PDM (Product Data Management). Furthermore, it divides the model into structure element and logic element, which reduces the coupling degree of integration and provides good platform transplantation.

This paper presents a new unsupervised feature extraction method based on the obvious quantum entangled model and the latent quantum co-occurrence model to solve the problems that current text clustering methods don’t support incremental clustering and distributed computing, which is the foundation for the text clustering in Internet environment and single and multitext summary. The model without the support of domain knowledge maintains a good information clustering effect after moving ca 96% of the redundant features.Theory analysis and numerical experiments show that this model is effective.

LAMA (Lightweight Approach to Multicast Authentication) was proposed based on MAC （Message Authentication Codes） and group key managements of WSN (Wireless Sensor Networks). Comparison of the performance with those of other schemes shows both computation and communication overheads of LAMA are in reasonable scopes, so it is secure and efficient to WSN.

There still exist two problems in the trustworthy interconnection of heterogeneous domains between IBE (Identity Based Encryption) and PKI (Public Key Infrastructure); one is crossdomain authorization, the other is mobile identity. In view of the above mention facts, the authors put forward a solution scheme of the crossdomain authorization among heterogeneous trustworthy domains. In this scheme, PKG (Private Key Generator) is regarded as the agency by its users to register in the PKI domain. Meanwhile CA (Certificate Authority) is regarded as the agency by its users to register in the IBE domain. Therefore, this kind of crossdomain authorization has intact trustworthy links. Finally, conclusion can be drawn that this scheme is fair for users in both PKI domain and IBE domain to crossdomain authorize by analyzing intact trustworthy links.

In view of a large number of serial heritage programs unrunning efficiently on a highperformance parallel computer at present, a method on automatic parallelization of serial program is proposed, which is based on data dependence analysis. The serial programs’ automatic parallelization can be achieved through parallel processing on the first category basic blocks. In add
ition, the executing performance of the serial programs was improved when the serial programs run in parallel.

The authors constructed wavelet transformation matrix to process images in view of Mallat algorithm, in order to solve the questions that FRIT can only apply to pixelsize image of prime number, generated random signal and “around” phenomenon in image processing, and proposed three kinds of improved FRIT methods that were combined with boundary prolong methods, which were used in the image denoising, the experiment showed that the denoising performance of the image with a straight line feature is better.

The solvent effects on the NC stretching vibration frequency of  TCNQ were investigated by means of the infrared spectra and analysed by several theoretical models of the molecular interaction. The results indicate that the frequency of the  NC of  TCNQ increased with the solvent receptor decreased. The LSER equation was a good explanation using the AN\|DN model, which confirmed the frequency change was due to the receptor complex rather than the hydrogen bond. The UV\|visible absorption spectra  of  TCNQ in different solvents exhibited the  blue shift of its absorption peak with the increases of solvent polarity parameters E^T_N and E_T（30）, and  comparing the curves of the  two polar solvents parameters E_T（30） and E^T_N confirmed  E^T_N is better than  E_T（30） in describing the solvent polarity of TCNQ.

The authors presented a simple mode to investigate the hadron-quark phase transition. In this way, the properties of strange and hybrid stars are described qualitatively. The calculation results are within the observational range. 

The influences of hyperon coupling constant on the properties of neutron star were studied by making use of GL85 parameter set in the framework of the relativistic mean field theory (RMFT) and taking freedoms of hyperons into consideration. Numerical results indicate that with the increase of the hyperon coupling constant, the onset density of hyperon Σ-  increases and those of other hyperons （Λ,Σ⁺,Σ ⁰,Σ^-,Ξ⁰,Ξ^-） decrease, the equations of state soften, the maximum mass of the star increases and the corresponding radius decreases. The maximum mass of the star increases from 1.36M_⊙ （M_⊙=1.99×10³⁰ kg is the solar mass） to 1.97M_⊙ and corresponding radius changes from 12.1 km to 11.3 km with the increase of the coupling constant from 0.4 to 1.0. We also found out the minimum coupling constant for this parameter set  corresponding to lower limit of neutron star mass （1.4M_⊙）.

High\|spin states in ¹⁶⁸Lu have been studied via the ¹⁵⁴Sm(¹⁹F,5n)¹⁶⁸Lu reaction at a beam energy of 94 MeV. In addition to the previously known bands in ¹⁶⁸Lu, a new band was observed and assigned to the  π7/2⁺［404］υ5/2^-［523］ ground\|state configuration. Transitions through which the  π7/2⁺［404］υ5/2⁺［642］ and  π9/2^-［514］υ5/2⁺［642］ bands decay down to lower states were established, and on this basis, spin assignments for the two bands were proposed. 

Sodium titanate （Na₂Ti₃O₇） nanowires were synthesized via a simple hydrothermal method. The properties of the humidity sensor based on sodium titanate nanowires were characterized. Both the response time and the recovery time are short, around 5 s and 6 s, respectively. A great change of the impedance (about five orders of magnitude) was observed at 20 Hz when the relative humidity (RH) varied from 11％ to 95％. The curve of impedance vs RH at 20 Hz shows a good linearity. 

n-PbTe with continuous carrier concentration gradient as a functional graded material (FGM) was successfully solidified along the unidirectional temperature grade. The carrier concentration gradient was optimized by different dopants of PbI₂,Al and Zr and solidifying temperature grade. The  effective maximum output power for continuous FGM PbTe is near 30％ larger than that for jointed FGM PbTe with the same carrier concentration.

Three aconines: aconine, mesaconine, hypaconine were separated from the hydrolyzates of three diesterditerpenoid aconines aconitine, mesaconitine and hypaconitine. ¹H and ¹³C NMR spectra(including ¹H-¹H COSY, HMQC and HMBC) of the compounds were acquired and assigned. The structures of the compounds were elucidated. The chemical shift assignm
ents of ¹H and ¹³C were made.

The synthesis of layered K_0.81Li_0.27Ti_1.73O₄ from K₂CO₃,Li₂CO₃ and TiO₂ was studied. The results show that the layered K_0.81Li_0.27Ti_1.73O₄ could be synthesized from starting materials at a mixing ratio of n(K₂CO₃) ∶n(Li₂CO₃) ∶n(TiO₂)=(0.405~0.42) ∶(0.135~0.165) ∶1.73 at a reation temperature between 1 000 ℃ and 1 200 ℃, and longer reaction time and higher reaction temperature favour the formation of the product. At 1 200 ℃, Al2O3 which is the component of corundum crucible would react with the reagents to formK_0.81Li_0.27Ti_1.73O₄ impurity. So when the corundum crucible is used as the reaction container, the optimization reaction conditions are the reaction temperature is 1 100 ℃, the ratio of starting
materials is n(K₂CO₃) ∶n(Li₂CO₃) ∶n(TiO₂)=0.405 ∶0.135 ∶1.73, and the reaction time is 24 h.

A novel unsymmetric substituted phthalocyanine: 2(3)-(p-tertbutylphenoxy) copper phthalocyanine was obtained from a mixture of 4-(p-tertbutylphenoxy)phthalonitrile, 1,3-diiminoisoindoline and Cu(AcO)₂·2H₂O that was added to 1-pentanol under stirring. The obtained unsymmetric substituted phthalocyanine was characterized by mass spectrum (MS), ultravioletvisible (UV\|Vis) spectrum, infrared  spectroscopy (IR) and elemental analysis. The results are in agreement with the proposed structures.

We established the gene knockout method using agrobacteriummediated transformation, and carried out contrast experiment of mat 1-1 of Sclerotinia sclerotiorum, and then obtained the transformed strain of mat 1-1 gene that was knocked out. First, the right arm and left arm were cloned by PCR respectively, which were selected from two sides of mat 1-1 gene that gave a great help in the construction of knockout vector, and then constructed the targeting vector ΔPBI-G3CN-mat 1-1, which comprised the two side arms and correctly sequences and resistance gene of fradiomycin.
ΔPBI-G3CN-mat 1-1 was transformed into EHA105. Using hypha of Sclerotinia sclerotiorum, we confirmed the positive knockout strain via PCR. By means of detecting the physiological phenotype, no obvious difference was shown between mat 1-1 gene deleted strain and wild strain in growth speed. But sclerotium and apothecium were not formed in the mat 1-1 gene deleted strain.

To investigate the antioxidant effect of Se-scFv-B3, a model system of H₂O₂induced rat cardiac myocyte damage was established. Se-scFv-B3 was demonstrated to protect cardiac myocytes against H₂O₂induced damage by the increase of cell viability, the decline of cell apoptosis, the inhibition of mitochondrial membrane potential (Δψ_m) collapse, the decrease of Caspase-3 activity and intracellular H₂O₂ after treatment of rat cardiac myocytes by Se-scFv-B3.

JIANG Fujia, WANG Yu ping, ZHOU Chang, ZHANG Xiaojian, ZHOU Jie, MENG Qingfan