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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 | 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 |
| 4 | 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 |
| 5 | 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 |
| 6 | 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 |
| 7 | 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 |
| 8 | 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 |
| 9 | 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 |
| 10 | 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 |
| 11 | 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 |
| 12 | 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 |
| 13 | 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 |
| 14 | 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 |
| 15 | 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 |
| 16 | UNIFYING REPRESENTATION OF BZIER CURVE AND GENERALIZED BALL CURVES显示文摘This paper presents two new families of the generalized Ball curves which include the Be ′zier curve, the generalized Ball curves defined by Wang and Said independently and some intermediate curves. The relative degree elevation and reduction schemes, recursive algorithms and the Bernstein\|Be ′zier representation are also given. | Wu HongyiDept. ofMath. and Mech., HefeiUniv. of Technology,Hefei230009. | 2000 | Applied Mathematics(A Journal of Chinese Universities)2000，15，1： | 14 |
| 17 | Using shapes correlation for active contour segmentation of uterine fibroid ultrasound images in computer-aided therapy显示文摘Segmenting the lesion regions from the ultrasound(US) images is an important step in the intra-operative planning of some computer-aided therapies. High-Intensity Focused Ultrasound(HIFU), as a popular computer-aided therapy, has been widely used in the treatment of uterine fibroids. However, such segmentation in HIFU remains challenge for two reasons:(1)the blurry or missing boundaries of lesion regions in the HIFU images and(2) the deformation of uterine fibroids caused by the patient's breathing or an external force during the US imaging process, which can lead to complex shapes of lesion regions. These factors have prevented classical active contour-based segmentation methods from yielding desired results for uterine fibroids in US images. In this paper, a novel active contour-based segmentation method is proposed, which utilizes the correlation information of target shapes among a sequence of images as prior knowledge to aid the existing active contour method. This prior knowledge can be interpreted as a unsupervised clustering of shapes prior modeling. Meanwhile, it is also proved that the shapes correlation has the low-rank property in a linear space, and the theory of matrix recovery is used as an effective tool to impose the proposed prior on an existing active contour model. Finally, an accurate method is developed to solve the proposed model by using the Augmented Lagrange Multiplier(ALM). Experimental results from both synthetic and clinical uterine fibroids US image sequences demonstrate that the proposed method can consistently improve the performance of active contour models and increase the robustness against missing or misleading boundaries, and can greatly improve the efficiency of HIFU therapy. | NI Bo HE Fa-zhi PAN Yi-teng YUAN Zhi-yong | 2016 | Applied Mathematics(A Journal of Chinese Universities)2016，31，1： | 14 |
| 18 | PRICING EUROPEAN OPTION IN A DOUBLE EXPONENTIAL JUMP-DIFFUSION MODEL WITH TWO MARKET STRUCTURE RISKS AND ITS COMPARISONS显示文摘用 Fourier 倒置变换, P.D.E 和 Feynman-Kac 公式,电话选择在双 exponentialjump 散开被给的欧洲人上的价格的 theclosed 形式答案与在那里存在的二不同市场结构风险当模特儿股票回来和 Vasicek 或 CIR 的 CIR 随机的轻快随机的利率在市场上。最后,在纸的模型的结果与在另外的模型的那些相比,包括有数字实验的 BS 模型。双指数的跳跃散开模型 withCIR 市场结构冒的风险的这些结果表演对建模合适真实市场的变化并且很有用。 | Deng Guohe | 2007 | Applied Mathematics(A Journal of Chinese Universities)2007，22，2： | 13 |
| 19 | Boundedness of Hausdorff operators on some product Hardy type spaces显示文摘We study Hausdorff operators on the product Besov space B10 ,1(Rn×Rm) and on the local product Hardy space h1(Rn ×Rm). We establish some boundedness criteria for Hausdorff operators on these function spaces. | CHEN Jie-cheng FAN Da-shan ZHANG Chun-jie | 2012 | Applied Mathematics(A Journal of Chinese Universities)2012，27，1： | 13 |
| 20 | The (G'/G, 1/G)-expansion method and its application to travelling wave solutions of the Zakharov equations显示文摘The (G'/G, 1/G)-expansion method for finding exact travelling wave solutions of nonlinear evolution equations, which can be thought of as an extension of the (G'/G)-expansion method proposed recently, is presented. By using this method abundant travelling wave solutions with arbitrary parameters of the Zakharov equations are successfully obtained. When the parameters are replaced by special values, the well-known solitary wave solutions of the equations are rediscovered from the travelling waves. | LI Ling-xiao LI Er-qiang WANG Ming-liang | 2010 | Applied Mathematics(A Journal of Chinese Universities)2010，25，4： | 13 |
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