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| 1 | CONVERGENCERATESIN THESTRONG LAWSOFASYMPTOTICALLY NEGATIVELY ASSOCIATEDRANDOM FIELDS显示文摘In this paper, a notion of negative side ρ \|mixing ( ρ\+- \|mixing) which can be regarded as asymptotic negative association is defined, and some Rosenthal type inequalities for ρ\+- \|mixing random fields are established. The complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are also discussed for ρ\+-\| mixing random fields. The results obtained extend those for negatively associated sequences and ρ\+*\| mixing random fields. | Zhang Lixin\ Wang Xiuyun | 1999 | Applied Mathematics(A Journal of Chinese Universities)1999，14，4： | 52 |
| 2 | Error estimates of H^1-Galerkin mixed finite element method for Schrdinger equation显示文摘An H1-Galerkin mixed finite element method is discussed for a class of second order Schrdinger equation. Optimal error estimates of semidiscrete schemes are derived for problems in one space dimension. At the same time, optimal error estimates are derived for fully discrete schemes. And it is showed that the H1-Galerkin mixed finite element approximations have the same rate of convergence as in the classical mixed finite element methods without requiring the LBB consistency condition. | LIU Yang LI Hong WANG Jin-feng | 2009 | Applied Mathematics(A Journal of Chinese Universities)2009，24，1： | 28 |
| 3 | Improved non-dominated sorting genetic algorithm (NSGA)-II in multi-objective optimization studies of wind turbine blades显示文摘The non-dominated sorting genetic algorithm (NSGA) is improved with the controlled elitism and dynamic crowding distance.A novel multi-objective optimization algorithm is obtained for wind turbine blades.As an example,a 5 MW wind turbine blade design is presented by taking the maximum power coefficient and the minimum blade mass as the optimization objectives.The optimal results show that this algorithm has good performance in handling the multi-objective optimization of wind turbines,and it gives a Pareto-optimal solution set rather than the optimum solutions to the conventional multiobjective optimization problems.The wind turbine blade optimization method presented in this paper provides a new and general algorithm for the multi-objective optimization of wind turbines. | 王珑 王同光 罗源 | 2011 | Applied Mathematics and Mechanics(English Edition)2011，32，6： | 27 |
| 4 | EXACT SOLUTIONS OF THE VARIABLE COEFFICIENT KdV AND SG TYPE EQUATIONS显示文摘EXACTSOLUTIONSOFTHEVARIABLECOEFFICIENTKdVANDSGTYPEEQUATIONSLIUXIQIANGAbstract.Inthispaper,thevariablecoficientKdVequationwith... | LIU XIQIANG | 1998 | Applied Mathematics(A Journal of Chinese Universities)1998，13，1： | 25 |
| 5 | GENERALIZED H-KKM TYPE THEOREMS IN H-METRIC SPACES WITH APPLICATIONS显示文摘The new notions of H-metric spaces and generalized H-KKM mappings were introduced. Some generalized H-KKM type theorems for generalized H-KKM mappings with finitely metrically compactly closed values and finitely metrically compactly open values were established in H-metric spaces. These theorems generalize recent results of Khamsi and Yuan. As applications, some Ky Fan type matching theorems for finitely metrically compactly open covers and finitely metrically compactly closed covers, fixed point theorems and minimax inequality are obtained in H-metric spaces. These results generalize a number of known results in recent literature. | DING Xie-ping(丁协平) XIA Fu-quan(夏福全) | 2001 | Applied Mathematics and Mechanics(English Edition)2001，22，10： | 23 |
| 6 | EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS显示文摘By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation d N d t=N(t)[a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(t)N′(t-τ(t))]. | LuShiping GeWeigao | 2002 | Applied Mathematics(A Journal of Chinese Universities)2002，17，4： | 23 |
| 7 | OSCILLATION FOR SYSTEMS OF NONLINEAR NEUTRAL TYPE PARABOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS显示文摘This paper discusses the oscillation of solutions for systems of nonlinear neutral type parabolic partial fuctional differential equations of the | YANGJUN GUANXINPING | 1997 | Applied Mathematics(A Journal of Chinese Universities)1997，12，2： | 23 |
| 8 | Multilinear singular integrals and commutators in variable exponent Lebesgue spaces显示文摘Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained. The vector-valued case is also considered. | HUANG Ai-wu XU Jing-shi | 2010 | Applied Mathematics(A Journal of Chinese Universities)2010，25，1： | 22 |
| 9 | Optimal consumption-leisure, portfolio and retirement selection based on α-maxmin expected CES utility with ambiguity显示文摘This article studies optimal consumption-leisure, portfolio and retirement selection of an infinitely lived investor whose preference is formulated by α-maxmin expected CES utility which is to differentiate ambiguity and ambiguity attitude. Adopting the recursive multiple-priors utility and the technique of backward stochastic differential equations (BSDEs), we transform the α-maxmin expected CES utility into a classical expected CES utility under a new probability measure related to the degree of an investor's uncertainty. Our model investigates the optimal consumption-leisure-work selection, the optimal portfolio selection, and the optimal stopping problem. In this model, the investor is able to adjust her supply of labor flexibly above a certain minimum work-hour along with a retirement option. The problem can be analytically solved by using a variational inequality. And the optimal retirement time is given as the first time when her wealth exceeds a certain critical level. The optimal consumption-leisure and portfolio strategies before and after retirement are provided in closed forms. Finally, the distinctions of optimal consumption-leisure, portfolio and critical wealth level under ambiguity from those with no vagueness are discussed. | FEI Wei-yin | 2012 | Applied Mathematics(A Journal of Chinese Universities)2012，27，4： | 23 |
| 10 | Bending of Timoshenko beam with effect of crack gap based on equivalent spring model显示文摘Considering the effect of crack gap,the bending deformation of the Timoshenko beam with switching cracks is studied.To represent a crack with gap as a nonlinear unidirectional rotational spring,the equivalent flexural rigidity of the cracked beam is derived with the generalized Dirac delta function.A closed-form general solution is obtained for bending of a Timoshenko beam with an arbitrary number of switching cracks.Three examples of bending of the Timoshenko beam are presented.The influence of the beam’s slenderness ratio,the crack’s depth,and the external load on the crack state and bending performances of the cracked beam is analyzed.It is revealed that a cusp exists on the deflection curve,and a jump on the rotation angle curve occurs at a crack location.The relation between the beam’s deflection and load is bilinear,each part corresponding to an open or closed state of crack,respectively.When the crack is open,flexibility of the cracked beam decreases with the increase of the beam’s slenderness ratio and the decrease of the crack depth.The results are useful in identifying non-destructive cracks on a beam. | Xiao YANG Jin HUANG Yu OUYANG | 2016 | Applied Mathematics and Mechanics(English Edition)2016，37，4： | 23 |
| 11 | Hierarchical hesitant fuzzy K-means clustering algorithm显示文摘Due to the limitation and hesitation in one's knowledge,the membership degree of an element to a given set usually has a few different values,in which the conventional fuzzy sets are invalid. Hesitant fuzzy sets are a powerful tool to treat this case. The present paper focuses on investigating the clustering technique for hesitant fuzzy sets based on the K-means clustering algorithm which takes the results of hierarchical clustering as the initial clusters. Finally,two examples demonstrate the validity of our algorithm. | CHEN Na XU Ze-shui XIA Mei-mei | 2014 | Applied Mathematics(A Journal of Chinese Universities)2014，29，1： | 20 |
| 12 | A CLASS OF SINGULARLY PERTURBED GENERALIZED BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATION OF HIGHER ORDER显示文摘The singularly perturbed generalized boundary value problems for the quasi_linear elliptic equation of higher order are considered. Under suitable conditions,the existence, uniqueness and asymptotic behavior of the generalized solution for the Dirichlet problems are studied. | MO Jia-qi(莫嘉琪) OUYANG Cheng(欧阳成) | 2001 | Applied Mathematics and Mechanics(English Edition)2001，22，3： | 19 |
| 13 | OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE显示文摘In this paper,the oscillation criteria for the solutions of the nonlinear differential equations of neutral type of the forms:[x(t)+p(t)x(σ(t))]″+q(t)f(x(τ(t)))g(x′(t))=0and[x(t)+p(t)x(σ(t))]″+q(t)f(x(t),x(τ(t)))g(x′(t))=0are obtained. | Gai Mingjiu Shi Bao Zhang DecunDept.ofBasicSciences,NavalAeronauticalEngineeringAcademy,Yantai264001.* Correspondingauthor,e-mail:baoshi@public.ytptt.sd.c | 2001 | Applied Mathematics(A Journal of Chinese Universities)2001，16，2： | 18 |
| 14 | CONSISTENCY OF MLE OF THE PARAMETER OF EXPONENTIAL LIFETIME DISTRIBUTION FOR RANDOM CENSORING MODEL WITH INCOMPLETE INFORMATION显示文摘CONSISTENCYOFMLEOFTHEPARAMETEROFEXPONENTIALLIFETIMEDISTRIBUTIONFORRANDOMCENSORINGMODELWITHINCOMPLETEINFORMATIONYEERHUAAbstrac... | YE ERHUA | 1995 | Applied Mathematics(A Journal of Chinese Universities)1995，10，4： | 18 |
| 15 | GLOBAL CONVERCENCE OF THE FLETCHER-REEVES ALGORITHM WITH INEXACT LINESEARCH显示文摘GLOBALCONVERCENCEOFTHEFLETCHER-REEVESALGORITHMWITHINEXACTLINESEARCH￥LIUGUANGHUI;HANJIYE;ANDYINHONGXIAAbstract:Inthispaper,wei... | LIUGUANGHUI HANJIYE YINHONGXIA | 1995 | Applied Mathematics(A Journal of Chinese Universities)1995，10，1： | 17 |
| 16 | BENSON PROPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS显示文摘Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness,a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized. | XuYihong LiuSanyang | 2003 | Applied Mathematics(A Journal of Chinese Universities)2003，18，1： | 16 |
| 17 | THE SURVIVAL PROBABILITY IN FINITE TIME PERIOD IN FULLY DISCRETE RISK MODEL显示文摘§1IntroductionClassicalrisktheory,asapartofinsurance-oractuarial-mathematics,dealswithstochasticmodelsofaninsurancebusiness.L... | ChengShixue WuBiao | 1999 | Applied Mathematics(A Journal of Chinese Universities)1999，14，1： | 15 |
| 18 | GLOBAL ASYMPTOTIC STABILITY OF THE PERIODIC LOTKA-VOLTERRA SYSTEM WITH TWO-PREDATORS AND ONE-PREY显示文摘GLOBALASYMPTOTICSTABILITYOFTHEPERIODICLOTKA-VOLTERRASYSTEMWITHTWO-PREDATORSANDONE-PREYLUZHONGHUAANDCHENLANSUN(InstituteofMath... | LUZHONGHUA CHENLANSUN | 1995 | Applied Mathematics(A Journal of Chinese Universities)1995，10，3： | 15 |
| 19 | Some New Fixed Point Theorems in Probabilistic Metric Spaces显示文摘SOMENEWFIXEDPOINTTHEOREMSINPROBABILISTICMETRICSPACESzhuChuan-xi(朱传喜)(MathematiesDivision,Nanchang.University,Nanchang)(Receiv... | 朱传喜 | 1995 | Applied Mathematics and Mechanics(English Edition)1995，16，2： | 14 |
| 20 | OSCILLATIONS OF SOLUTION FOR A CLASS OF HIGHER-ORDER NEUTRAL DIFFERENTIAL EQUATION显示文摘§1IntroductionInthispaper,weconsiderdndtn[x(t)+c(t)x(t-τ)]+∫bap(t,ξ)x[g(t,ξ)]dσ(ξ)=0,(1)wherenisevenandτispositiveconstant.Su... | WANGPEIGUANG FUXILINAND YUYUANHONG | 1998 | Applied Mathematics(A Journal of Chinese Universities)1998，13，4： | 14 |
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