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A NOTE ON SINGULAR VALUE DECOMPOSITION FOR RADON TRANSFORM IN R^N WANG Jin-Ping, DU Jin-Yuan Acta mathematica scientia,Series B    2002, 22 (3): 311-318.   Abstract （708）      PDF（pc） （128KB）（7811）       Save The singular value decomposition is derived when the Radon transform is restricted to functions which are square integrable on the unit ball in Rn with respect to the weight W(x). It fulfilles mainly by means of the projection-slice theorem.The range of the Radon transform is spanned by products of Gegenbauer polynomials and spherical harmonics. The inverse transform of the those basis functions are given. This immediately leads to an inversion formula by series expansion and range characterizations. Reference | Related Articles | Metrics

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EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER Zhang Shuqin Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(06)60044-1

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MULTI-DIMENSIONAL GEOMETRIC BROWNIAN MOTIONS, ONSAGER-MACHLUP FUNCTIONS, AND APPLICATIONS TO MATHEMATICAL FINANCE 胡耀忠 Acta mathematica scientia,Series B    2000, 20 (3): 341-358.   Abstract （958）      PDF（pc） （185KB）（3905）       Save The solutions of the following bilinear stochastic differential equation are stud- ied dxt = Xm k=1 Ak t xtdwk(t) + Btxtdt where Ak t , Bt are (deterministic) continuous matrix-valued functions of t and w1(t), · · ·, wm(t) are m independent standard Brownian motions. Conditions are given such that the solution is positive if the initial condition is positive. The equation the most probable path must satisfy is also derived and applied to a mathematical finance problem. Reference | Related Articles | Metrics

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INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES A. Azizi Acta mathematica scientia,Series B    2005, 25 (3): 385-394.   Abstract （815）      PDF（pc） （178KB）（3793）       Save The aim of this paper is to study the conditions by which a P-prime sub- module can be expressed as a ¯nite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equivalent conditions for a ring to be a Dedekind domain are given. Reference | Related Articles | Metrics

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GLOBAL DYNAMICS OF AN SEIR EPIDEMIC MODEL WITH IMMIGRATION OF DIFFERENT COMPARTMENTS Zhang Juan; Li Jianquan; Ma Zhien Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(06)60081-7

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RIESZ IDEMPOTENT AND BROWDER´S THEOREM FOR ABSOLUTE-(p, r)-PARANORMAL OPERATORS Salah Mecheri Acta mathematica scientia,Series B    2012, 32 (6): 2259-2264.   DOI: 10.1016/S0252-9602(12)60175-1 Abstract （572）      PDF（pc） （156KB）（3605）       Save An operator T is said to be paranormal if ||T2x|| ≥ ||Tx||2 holds for every unit vector x. Several extensions of paranormal operators are considered until now, for example absolute-k-paranormal and p-paranormal introduced in [10], [14], respectively. Yamazaki and Yanagida [38] introduced the class of absolute-(p, r)-paranormal operators as a further generalization of the classes of both absolute-k-paranormal and p-paranormal operators. An operator T ∈B(H) is called absolute-(p, r)-paranormal operator if |||T|p|T*|rx||r ≥ |||T*|rx||p+r for every unit vector x ∈ H and for positive real numbers p > 0 and r > 0. The famous result of Browder, that self adjoint operators satisfy Browder´s theorem, is extended to several classes of operators. In this paper we show that for any absolute-(p, r)-paranormal operator T, T satisfies Browder´s theorem and a-Browder´s theorem. It is also shown that if E is the Riesz idempotent for a nonzero isolated point μ of the spectrum of a absolute-(p, r)-paranormal operator T, then E is self-adjoint if and only if the null space of T − μ, N(T − μ)  N(T* − μ). Reference | Related Articles | Metrics

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FORMATION OF NECROTIC CORES IN THE GROWTH OF TUMORS: ANALYTIC RESULTS Cui Shangbin Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(06)60104-5

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SOLVING SECOND ORDER DIFFERENTIAL EQUATIONS IN QUANTUM MECHANICS BY ORDER REDUCTION C. Ted Chen Acta mathematica scientia,Series B    2003, 23 (2): 274-.   Abstract （880）      PDF（pc） （156KB）（3197）       Save t Solving the famous Hermite, Legendre, Laguerre and Chebyshev equations requires different techniques of unique character for each equation. By reducing these differential equations of second order to a common solvable differential equation of first order, a simple common solution is provided to cover all the existing standard solutions of these named equations. It is easier than the method of generating functions and more powerful than the Frobenius method of power series. Reference | Related Articles | Metrics

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GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS Zhen Jin; Ma Zhien; Han Maoan Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(06)60051-9

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CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION Qiu Jinghui Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60019-8

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COMPRESSIBLE NAVIER-STOKES-POISSON EQUATIONS XIAO Ling, LI Hai-Liang Acta mathematica scientia,Series B    2010, 30 (6): 1937-1948.   DOI: 10.1016/S0252-9602(10)60184-1 Abstract （1128）      PDF（pc） （192KB）（2785）       Save This is a survey paper on the study of compressible Navier-Stokes-Poisson equations. The emphasis is on the long time behavior of global solutions to multi-dimensional compressible Navier-Stokes-Poisson equations, and the optimal decay rates for both unipolar and bipolar compressible Navier-Stokes-Poisson equations are discussed. Reference | Related Articles | Metrics

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SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m Harun Polat; Feyzi Basar Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60024-1

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ON MULTIPLICATION AND COMULTIPLICATION MODULES H. Ansari-Toroghy, F. Farshadifar Acta mathematica scientia,Series B    2011, 31 (2): 694-700.   DOI: 10.1016/S0252-9602(11)60269-5 Abstract （717）      PDF（pc） （137KB）（2530）       Save This article deals with some results concerning multiplication and comultiplication modules over a commutative ring. Reference | Related Articles | Metrics

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RECURSIVE FORMULA FOR CALCULATING THE CHROMATIC POLYNOMIAL OF A GRAPH BY VERTEX DELETION HU Jin Acta mathematica scientia,Series B    2004, 24 (4): 577-582.   Abstract （622）      PDF（pc） （116KB）（2489）       Save new recursive vertex-deleting formula for the computation of the chromatic polynomial of a graph is obtained in this paper. This algorithm is not only a good tool for further studying chromatic polynomials but also the fastest among all the algorithms for the computation of chromatic polynomials. Reference | Related Articles | Metrics

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NONLINEAR EVOLUTION SYSTEMS AND GREEN'S FUNCTION WANG Wei-Ke Acta mathematica scientia,Series B    2010, 30 (6): 2051-2063.   DOI: 10.1016/S0252-9602(10)60190-7 Abstract （776）      PDF（pc） （202KB）（2470）       Save In this paper, we will introduce how to apply Green's function method to get the pointwise estimates for the solutions of Cauchy problem of nonlinear evolution equations with dissipative  structure. First of all, we introduce the pointwise estimates of the time-asymptotic shape of the solutions of the isentropic Navier-Stokes equations and show to exhibit the generalized Huygen's principle. Then, for other nonlinear dissipative evolution equations, we will only introduce the result and give some brief explanations. Our approach is based on the detailed analysis of the Green's function of the linearized system and micro-local analysis, such as frequency decomposition and so on. Reference | Related Articles | Metrics

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ON ALMOST PRIME SUBMODULES Hani A. Khashan Acta mathematica scientia,Series B    2012, 32 (2): 645-651.   DOI: 10.1016/S0252-9602(12)60045-9 Abstract （586）      PDF（pc） （133KB）（2440）       Save In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime submodules and give some char-acterizations of them, especially for (finitely generated faithful) multiplication modules. Reference | Related Articles | Metrics

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VARIOUS NOTIONS OF ORTHOGONALITY IN NORMED SPACES N.B. OKELO, J.O. AGURE, P.O. OLECHE Acta mathematica scientia,Series B    2013, 33 (5): 1387-1397.   DOI: 10.1016/S0252-9602(13)60090-9 Abstract （241）      PDF（pc） （191KB）（2411）       Save In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also consid-ered. Results on orthogonality of the range and the kernel of elementary operators and the operators implementing them also are given. Reference | Related Articles | Metrics

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THE CARBUNCLE PHENOMENON IS INCURABLE Volker Elling Acta mathematica scientia,Series B    2009, 29 (6): 1647-1656.   DOI: 10.1016/S0252-9602(10)60007-0 Abstract （808）      PDF（pc） （363KB）（2404）       Save Numerical approximations of multi-dimensional shock waves sometimes exhibit an instability called the  carbuncle phenomenon. Techniques for suppressing carbuncles are trial-and-error and lack in reliability and generality, partly because theoretical knowledge about carbuncles is equally unsatisfactory. It is not known which numerical schemes are affected in which circumstances, what causes carbuncles to appear and whether carbuncles are purely numerical artifacts or rather features of a continuum equation or model. This article presents evidence towards the latter: we propose that carbuncles are a special class of entropy solutions which can be physically correct in some circumstances. Using "filaments'', we trigger a single carbuncle in a new and more reliable way, and compute the structure in detail in similarity coordinates. We argue that carbuncles can, in some circumstances, be valid vanishing viscosity limits. Trying to suppress them is making a physical assumption that may be false. Reference | Related Articles | Metrics

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A CHARACTERIZATION OF LOCALLY COMPACT INNER AMENABLE GROUPS Ali Ghaffari Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(08)60061-2

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MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT LI Gong-Bao, ZHANG Guo Acta mathematica scientia,Series B    2009, 29 (4): 903-918.   DOI: 10.1016/S0252-9602(09)60077-1 Abstract （1027）      PDF（pc） （222KB）（2387）       Save In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p&q-Laplacian type involving the critical Sobolev exponent: −△pu − △qu = |u|p*−2u + μ|u|r−2u in Ω, u|∂Ω= 0, where Ω ⊂ RN is a bounded domain, N > p, p* = Np /N−p is the critical Sobolev exponent and μ > 0. We prove that if 1 < r < q < p < N, then there is a μ0 > 0, such that for any μ ∈ (0, μ0), the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result in [8] for p-Laplacian type problem. Reference | Related Articles | Metrics