Positive periodic solutions of higher-dimensional nonlinear functional difference equations

In this paper, we apply a cone theoretic fixed point theorem to obtain sufficient conditions for the existence of multiple positive periodic solutions to the higher-dimensional functional difference equations of the form:

Non-isothermal curing kinetics and thermal properties of benzoxazine-phenolic copolymers

Using novolac phenolic resin, aniline and formaldehyde as raw materials, benzoxazine-phenolic copolymers with different percentages of benzoxazine rings were prepared. FT-IR was adopted to characterize the molecular structure of the novolac-type phenolic resin and the benzoxazine-phenolic copolymer BP31. In order to understand the curing process of the copolymers, the curing behavior and curing kinetic characteristics were studied by differential scanning calorimetry (DSC), and the catalytical effect of phenolic hydroxyl on the curing behavior of copolymers was investigated. To investigate the thermal properties of this resin, the thermal degradation behaviors of the cured samples were studied by thermal gravimetric (TG) method, and glass-transition temperatures (T _g) of the cured copolymers were also evaluated by DSC. The dynamic Ozawa method was adopted to determine the kinetic parameters of the curing process as well. The activation energy is 78.8 kJ/mol and the reaction rate constant is in the range from 40.0 to 5.2 (K/min) ⁿ according to reaction temperatures. The Ozawa exponent decreases from 2.4 to 0.7 with the increase of reaction temperature, and curing mechanism is expounded briefly according to the results. TG result shows that the highest char yield of copolymers is 50.3%. The highest T _g of copolymers is 489 K, which is much higher than that of pure benzoxazine resin. Foundation item: Project (20050106) supported by the Key Science and Technology Item of Guangdong Province, China     

Existence of positive solutions in a delay logistic difference equation

The author studied the existence of positive solutions of the delay logistic difference equationΔyn=pnyn(1-yτ(n)), n=0,1,2,....where {pn} is a sequence of positive real numbers, {τ(n)} is a nondecreasing sequence of integers, τ(n)＜n and limn→∞τ(n)=∞. A sufficient condition for the existence of positive solutions of the equation was given.     

Synthesis and characterization of triclinic structural LiVPO4F as possible 4.2 V cathode materials for lithium ion batteries

A potential 4.2 V cathode material LiVPO4F for lithium batteries was prepared by two-step reaction method based on a carbon-thermal reduction （CTR） process. Firstly, V2O5, NH4H2PO4 and acetylene black are reacted under an Ar atmosphere to yield VPO4. The transition-metal reduction is facilitated by the CTR based on C→CO transition. These CTR conditions favor stabilization of the vanadium as V^3＋ as well as leaving residual carbon, which is useful in the subsequent electrode processing. Secondly, VPO4 reacts with ElF to yield LiVPO4F product. The property of the LiVPO4F was investigated by X-ray diffractometry （XRD）, scanning electron microscopy （SEM） and electrochemical measurement. XRD studies show that LiVPO4F synthesized has triclinic structure（space group p I ）, isostructural with the naturally occurring mineral tavorite, EiFePO4-OH. SEM image exhibits that the particle size is about 2μm together with homogenous distribution. Electrochemical test shows that the initial discharge capacity of LiVPO4F powder is 119 mA·h/g at the rate of 0.2C with an average discharge voltage of 4.2V （vs Ei/Li^＋）, and the capacity retains 89 mA·h/g after 30 cycles.     

Isotope systematics and metallogenetic age of Zhuanghe gold deposit, Liaoning province, China

Based on the metallogenetic geology conditions, the H, O, C and S isotopic compositions were measured by MAT-251 mass spectrometer, and Pb isotope and Rb-Sr dating were carried with MAT-261 multi-acceptor mass spectrometer. The results show that the δ18O values of gold-bearing vein quartz from different levels are 1.19%-1.42%. The calculated δ18O values of ore fluids are 0.55%-0.78%, and δD values are from –8.64% to –6.66%. The calculated values of δ 34 SH2Sby the δ34Spy values in quartz veins display sulfur isotope compositions from -0.053% to 0.413%. Carbon isotope compositions of carbonates are from -0.612% to 0.140%. The mole ratios of 206Pb to 204Pb, 207Pb to 204Pb and 208Pb to 204Pb in auriferous quartz vein are 16.987-17.545, 15.342-15.623, and 38.254-38.744, respectively. The age of the Zhuanghe gold deposit determined by Rb-Sr isochron of the fluid inclusions in quartzes is (143.0±5.8) Ma. These isotopic data suggest that the metallogenetic fluids are generated from magmatic hydrotherm and the origin of ore-forming matters is related to the deep-derived magmatic activities. Meanwhile, the metallogenetic epoch of the Zhuanghe gold deposit is in Yanshanian period.     

The dynamics of acid treatment in the preparation of porous glass

1　IntroductionPorousglasswithahighsilicacontentisoneofnewfunctionalmaterials ,andithasaprosperousprospectinapplications .Inrecentyears ,porousglasswaspaidatten tionbyinternationalmaterialspecialistsandscholars[1 4] .However,thephase separationglasseswerefragileandbreakableduringtheacidtreatment,limitingtheapplica tionsofporousglass .Herein ,inthispapertheeffectsoftreatmenttime ,temperatureandacidconcentrationinthepreparationofporousglasswithhighsilicawereemphas izedonandthedynamicsandmechanis…     

Determination of paclitaxel in southern yew tree by HPLC

Paclitaxel in southern yew tree was quantitatively determined by high performance liquid chromatography (HPLC) with ODS-C18 column. A mixture of CH3OH-H2O-CH3COOH(volume ratio: 55 :44 :1) is used as mobile phase and UV detection is carried out at 227 nm, and the column temperature is 20℃. The results show that there is a good linear felationship between the area of paclitaxel and the concentration of the sample in the range 50-500 mg/L for paclitaxel. The corresponding regression equation is Y= 13 021. 7 + 1. 01 × 106X, r=0. 9990. The average recovery is 95. 3% and the relative standard deviation is 2. 08%.     

Drag reduction of flow boiling with polymer additives

Ｓｏｍｅｓｔｕｄｉｅｓｗｅｒｅｄｏｎｅｏｎｐｏｏｌｂｏｉｌｉｎｇｈｅａｔｔｒａｎｓｆｅｒｏｆａｄｄｉｔｉｖｅａｑｕｅｏｕｓｓｏｌｕｔｉｏｎ ,ｂｕｔｌｉｔｔｌｅｏｎｆｌｏｗｂｏｉｌｉｎｇ[1 3] .Ｔｈｅｕｓｅｄａｄｄｉｔｉｖｅｓａｒｅｓｕｒｆａｃｔａｎｔａｄｄｉｔｉｖｅｓａｎｄｐｏｌｙｍｅｒａｄｄｉｔｉｖｅｓ[1 4] .Ｉｎｖｅｓｔｉｇａｔｉｏｎｓｏｎｔｈｅｄｒａｇｒｅｄｕｃｔｉｏｎｏｆａｄｄｉｔｉｖｅｓａｒｅｕｓｕａｌｌｙｃｏｎ ｃｅｎｔｒａｔｅｄｏｎｓｉｎｇｌｅｐｈａｓｅｆｌｏｗ[5 ] ,ｏｒｒａｔｈｅｒ,…     

Dynamic recrystallization behavior of 35CrMo structural steel

1　ＩＮＴＲＯＤＵＣＴＩＯＮＤｕｒｉｎｇｈｏｔｗｏｒｋｉｎｇ ,ｓｅｖｅｒａｌｍｅｔａｌｌｕｒｇｉｃａｌｐｈｅｎｏｍｅｎａｓｕｃｈａｓｗｏｒｋ ｈａｒｄｅｎｉｎｇ (ＷＨ ) ,ｄｙｎａｍｉｃｒｅｃｏｖｅｒｙ (ＤＲＶ) ,ａｎｄｄｙｎａｍｉｃｒｅ ｃｒｙｓｔａｌｌｉｚａｉｔｏｎ (ＤＲＸ )ｏｃｃｕｒｓｉｍｕｌｔａｎｅｏｕｓ ｌｙ[1 5 ] .Ｅｓｐｅｃｉａｌｌｙ ,ｔｈｅｏｃｃｕｒｒｅｎｃｅｏｆＤＲＸ ,ｃａｎｒｅｆｉｎｅｇｒａｉｎａｎｄｒｅｄｕｃｅｄｅｆｏｒｍａｔｉｏｎｒｅｓｉｓｔａｎｃｅｉｎｐｒａｃｔｉｃａｌｈｏｔ ｗ…     

Preparation of LiFePO4 for lithium ion battery using Fe2P2O7 as precursor

In order to obtain a new precursor for LiFePO4, Fe2P2O7 with high purity was prepared through solid phase reaction at 650 ℃ using starting materials of FeC2O4 and NH4H2PO4 in an argon atmosphere. Using the as-prepared Fe2P2O7, Li2CO3 and glucose as raw materials, pure LiFePO4 and LiFePO4/C composite materials were respectively synthesized by solid state reaction at 700 ℃ in an argon atmosphere. X-ray diffractometry and scanning electron microscopy（SEM） were employed to characterize the as-prepared Fe2P2O7, LiFePO4 and LiFePO4/C. The as-prepared Fe2P2O7 crystallizes in the Cl space group and belongs to β-Fe2P2O7 for crystal phase. The particle size distribution of Fe2P2O7 observed by SEM is 0.4-3.0 μm. During the Li^＋ ion chemical intercalation, radical P2O7^4- is disrupted into two PO4^3- ions in the presence of O^2-, thus providing a feasible technique to dispose this poor dissolvable pyrophosphate. LiFePO4/C composite exhibits initial charge and discharge capacities of 154 and 132 mA·h/g, respectively.     

A method of determining and designing the drained slope in drained aluminum reduction cells

1　ＩＮＴＲＯＤＵＣＴＩＯＮＴｈｅｄｒａｉｎｅｄａｌｕｍｉｎｕｍｒｅｄｕｃｔｉｏｎｃｅｌｌｉｓａｎｅｗｔｙｐｅｒｅｄｕｃｔｉｏｎｃｅｌｌｂｒｏｕｇｈｔｆｏｒｗａｒｄｉｎｔｈｅｍｉｄｄｌｅｏｆ 1 980ｓ.Ｉｔｓｅｓｓｅｎｔｉａｌｉｄｅａｉｓｔｏｍａｋｅｔｈｅｓｕｒｆａｃｅｏｆｃａｔｈｏｄｅｓｌｏｐｅｓｈａｐｅ ,ａｎｄｃｕｔａｇｒｏｏｖｅｏｎｔｈｅｓｕｒｆａｃｅｆｏｒａｌｕｍｉｎｕｍｄｅｐｏｓｉｔ ｉｎｇ[1,2 ] .Ｔｈｅｎｔｈｅｍｅｌｔｅｄａｌｕｍｉｎｕｍ ｐｒｏｄｕｃｅｄｉｎｒｅｄｕｃｔｉｏｎｐｒｏｃｅｓ…     

Separation of xylo-oligosaccharides from enzymatic hydrolytes using membrane reactor

1　INTRODUCTIONMembranereactorsrepresentapromisingtech nologyforproductionandprocessinginthepharma ceuticalandfoodindustry .Theincreasingattentionto“natural like” productsandenviron mentalpro cessesmakesthemembranereactorsparticularlyat tractive,becausetheydonotrequirechemicaladdi tives ,areabletoworkundermildconditionsofpH ,temperature,and pressure ,andcanreducethefor mationofby products[1] .Thecatalyticactionofen zymesisextremelyefficientandselectivecomparedwithordinarychemicalcatalys…     

Estimation of kinetics parameters in Beckmann rearrangement of cyclohexanone oxime using genetic algorithm

Beckmann rearrangement mechanism of cyclohexanone oxime, based on the characteristic of self-catalyzed reaction and polymorphism was proposed. According to the suggested mechanism, the basic approach was the rearrangement of OXH^＋ while the SO3 acts as dehydrating agent and OXSO3 can turn to CPLSO3 ultimately. Considering self-catalyzed reaction between OXSO3 and CPLH^＋ , kinetic model for Beckmann rearrangement was established. Corresponding parameters were estimated by using float genetic algorithm （GA） and simulation results agree well with the experimental data below -19.3 ℃. Industrial equipment was simulated and analyzed. Effects of key process parameters such as molar ratio of sulfuric acid to oxime and circulation ratio on the residual oxime are also discussed. The results show that the caprolactam exists as CPLH^＋ finally in oleum and the minimum molecular ratio of sulfuric acid to oxime can be 0.5 theoretically.     

Electrochemical kinetics of gold dissolving in alkaline thiourea solution

1 INTRODUCTIONEssentially , determination of electrode reac-tion mechanism is just the determination of thecourse of electrode reaction and the rate-determi-ning step[1 5]. Based on the previous results[6 11],gold dissolution mechanism undergoes the follow-ing courses in alkaline thiourea solution: adsorp-tion of thiourea on active points of electrode sur-face and formation of Au[SC(NH2)2]ads; chargetransfer fromactive gold atomto thiourea moleculeand formation of Au[SC(NH2)2]a+ds; Au-…     

Synthesis, characterization and bioactivity evaluation of diallyl disulfide

1 INTRODUCTIONGarlic , one of the most frequently usedspices , has been known for its diverse biologicalactivities ,such as antithrombosis , antiatheroscle-rosis ,anti mutagenesis ,and antibacterial[1 2].It isrecently knownthat diallyl disulfide ,a major orga-no-sulfur compoundin garlicinhibits the growth ofhuman tumor cells from colon, lung, skin, andbreast origins[3 6].Smoll et al[7]reportedthat iodo-niumand allyl mercaptan could form diallyl disul-fide . Moreover , Challenger et al[8]r…     

Microwave digestion polarography for determining seven trace elements in Salvia Miltiorrhiza Root and compound Salvia Miltiorrhiza Root injection simultaneously

The sensitive second derivative waves of Cu(Ⅱ),Pb(Ⅱ),Cd(Ⅱ),Ni(Ⅱ),Zn(Ⅱ),Fe(Ⅱ)and Mn(Ⅱ),forming in the substrate solution(pH=9.26)consisting of ammonia,ammonium chlorid,gelatin and ascorbic acid were researched.The peak potentials of the polarographic waves of the seven ions are at about 0.48,0.63,0.79,1.04,1.28,1.44 and 1.60 V respectively.Combining with microwave technique,a new method for the simultaneous determination of the seven trace elements in Chinese traditional medicine was developed.The method is easy to operate,rapid,simple and convenient.When the signal-to-noise rate equals 3,the detection limits of Cu,Pb,Cd,Ni,Zn,Fe and Mn are 4.2×10 3,5.3×10 3,2.1×10 3,5.8×10 4,3.0×10 3,7.7×10 4 and 1.1×10 3 μg/mL respectively.Well linear relationships exist between the concentrations and the peak currents when Cu,Pb,Cd,Ni,Zn,Fe and Mn concentrations are within 8.5×10 3 10,9.7×10 3 10,4.5×10 3 10,1.2×10 3 10,6.4×10 3 10,1.5×10 3 10 and 2.8×10 3 10 μg/mL,respectively.The method has been used to the simultaneous determination of the seven trace elements in Salvia Miltiorrhiza Root and compound Salvia Miltiorrhiza Root injection,the relative standard deviations(RSDs)of the Cu,Pb,Cd,Ni,Zn,Fe and Mn in the two medicines are 3.9% and 5.8%,4.0% and 4.1%,4.3% and 5.7%,4.9% and 5.3%,4.4% and 4.7%,3.5% and 4.0%,0.51% and 2.8%,respectively;the comparisons of the determination results with the values obtained by the standard method indicate that the presented method has very well veracity.     

Preparation of high viscosity average molecular mass poly-L-lactide

1 INTRODUCTION In recent years, much attention has been focused on biodegradable and biocompatible polymers. Among biodegradable biomaterials, poly-L-lactide(PLLA) is a widely used polymer[1?2]. PLLA is currently used in medicine, including drug delivery systems and hard tissue scaffolds. For hard tissue scaffolds, a certain strength is demanded due to the coordination of strength loss and tissue healing rate to support loading after all degradation of the implant[3]. Many studies on c…     

Purification and characterization of extracellular chitinase from a novel strain Aspergillus fumigatus CS-01

Twelve samples derived from different locations in south central area of China are treated by enrichment and spread-plate technique for initial screening. Seven chitinase-producing strains are isolated. The chitinase present in the culture supernatant of strain CS-01 possesses the maximum activity of 0.118 U/mL. Analysis of the morphological feature and the ITS rDNA sequence reveals that strain CS-01 belongs to Aspergillus fumigatus. Production of the chitinase is regulated by a inducible way and the maximum activity appears at 36 h in colloidal chitin culture. Purification of the chitinase is carried out by salting out, gel filtrate chromatography and anion exchange chromatography sequentially. Native-PAGE and SDS-PAGE indicate that the chitinase from A. fumigatus CS-01 is a monomer with the relative molecular mass estimated to be 4.50×10⁴. Its maximum activity appears at pH 5 and 55 °C. The chitinase is stable at pH 4.0–7.5 and below 45 °C. Foundation item: Projects(50621063, 50674101) supported by the National Natural Science Foundation of China     

High Efficieney Synthesis of Isotaetie Polypropylene and Linear Polyethylene Using a New C2-symmetrie Carbon-bridged Zireonoeene Catalyst

Ansa-Cyclohexyl-bis（4,5,6,7-tertrahydro-l-indenyl） zirconium dichloride （5） was used as catalyst for propylene and ethylene polymerization together with methyl aluminoxane （MAO） as the cocatalyst. Isotactic polypropylene （PP） was obtained with the highest activity of 6.37× 107g PP （molZr）^-1h^-1. The mesomeso （mmmmm） pentads sequence content of PP was determined by 13C NMR spectroscopy. The dependence of the microstructure on the reaction temperature and the AI/Zr molar ratio was examined and the catalytic activity of complex 5 was compared with that of the similar ansa-zirconocene 3. The high activity of the new zirconocene 5 for propylene isospectic polymerization at high temperature （60℃） is the result of its unique bridged-group structure. Complex 5/MAO displays also high catalytic activity of 0.46× 10^6 to 9.87× 10^6g PE（molZr）^-h^-in the homo-polymerization of ethylene, The visometric molecular weight of PE ranges from 0.97×10^4 to 11.16×10^4 g.mol^- under the given conditions.^13C NMR spectroscopy analysis proves the PE to be linear polyethylene （LPE）.     

Characterization of foreign grain on 6H-SiC facet

6H-SiC single crystals were grown by sublimation method. It is found that foreign grains occur frequently on the facets of the crystals. To characterize the foreign grain, a longitudinal and a sectional cut samples were prepared by standard mechanical processing method. Raman spectrum confirms that the foreign grain is actually a mis-oriented 6H-SiC grain. The surface structure of the foreign grain was studied by chemical etching and optical microscopy. It is shown that etch pits in foreign grain region take the shape of isosceles triangle, which are different from those in mono-crystalline region, and high density stacking faults are observed on the surface of the foreign grain. The orientation of foreign grain surface is determined to be (104) plane by back-scattering X-ray Laue image. The X-ray powder diffraction reveals that the powder is partly graphitized after a long crystal growth run. Therefore it is believed that the loss of Si results in the formation of C inclusions, which is responsible for the nucleation of foreign grain in the facet region. Foundation item: Projects(2006AA03A145, 2007AA03Z405) supported by the National High-Tech Research and Development Program of China; Projects(50721002, 50802053) supported by the National Natural Science Foundation of China; Project (707039) supported by the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China