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- Boundedness of the commutator of some Marcinkiewicz integral on Herz-type Hardy spaces
- ZHAO Kai, JI Chun-jing, HUANG Zhi
- J4. 2013, 48(6): 1-4.
- Abstract ( 468 ) PDF (746KB) ( 1428 ) Save
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- Influence of the structure of Sylow p-subgroups on Coleman outer automorphism groups of finite groups
- HAI Jin-ke, LI Zheng-xing
- J4. 2013, 48(6): 5-8.
- Abstract ( 486 ) PDF (629KB) ( 957 ) Save
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- Complete moment convergence of weighted sums of arrays of rowwise ND random variables
- XU Ri-li, GUO Ming-le*
- J4. 2013, 48(6): 9-13.
- Abstract ( 629 ) PDF (626KB) ( 1457 ) Save
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- Reflected solutions of anticipated BSDEs and related optimal stopping time problem
- XU Xiao-ming
- J4. 2013, 48(6): 14-17.
- Abstract ( 545 ) PDF (663KB) ( 1329 ) Save
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- General neighbor-distinguishing edge coloring of strong products and compositions of graphs
- CHEN Xiang-en1, WANG Zhi-wen2, ZHAO Fei-hu1, WEI Jia-jing1, YAO Bing1
- J4. 2013, 48(6): 18-22.
- Abstract ( 608 ) PDF (654KB) ( 1189 ) Save
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- Trees with exactly three main eigenvalues
- SUN De-rong, XU Lan
- J4. 2013, 48(6): 23-28.
- Abstract ( 450 ) PDF (894KB) ( 1149 ) Save
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- Normality criteria of meromorphic functions for differential monomial sharing one value
- ZHANG Xiao-bin
- J4. 2013, 48(6): 29-33.
- Abstract ( 460 ) PDF (630KB) ( 1380 ) Save
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- Coordination model with retailers’ competition based on stochastic demand and return mechanism
- WANG Ting1, CUI Yu-quan2, ZHAO Gang1
- J4. 2013, 48(6): 34-37.
- Abstract ( 448 ) PDF (877KB) ( 1493 ) Save
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- Dynamical Grbner bases for the polynomial ring with countably infinite variables
- WANG Xian, ZHOU Jian-yang, MA Wen-chao
- J4. 2013, 48(6): 38-41.
- Abstract ( 443 ) PDF (616KB) ( 1389 ) Save
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- Morita context rings with a pair of zero homomorphism
- WANG Xiu-jian1,2, CHENG Zhi1, DU Xian-neng1*
- J4. 2013, 48(6): 42-45.
- Abstract ( 507 ) PDF (656KB) ( 1710 ) Save
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- The derivations from the Lie algebra of derivations for quantum torus to its modules
- JIANG Jing-lian
- J4. 2013, 48(6): 46-50.
- Abstract ( 459 ) PDF (639KB) ( 1197 ) Save
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- Time satisfaction based inventory and distribution strategies for the click-and-brick enterprise
- WU Di, LI Su-jian, LI Hai-tao
- J4. 2013, 48(6): 51-60.
- Abstract ( 468 ) PDF (1611KB) ( 1328 ) Save
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- Decentralized output feedback global tracking for a class of large-scale nonlinear systems
- WANG Xing-ping1, CHENG Zhao-lin2
- J4. 2013, 48(6): 61-66.
- Abstract ( 441 ) PDF (877KB) ( 971 ) Save
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- A kind of European lookback option pricing model under fractional jump-diffusion mixed fractional Brownian motion
- YANG Zhao-qiang
- J4. 2013, 48(6): 67-74.
- Abstract ( 784 ) PDF (677KB) ( 1219 ) Save
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- An economical finite difference scheme for solute transport
- ZHANG Jian-qing1,2, XIE Wei-wei3, ZOU Wan-ping3, WEN Yong-yan3
- J4. 2013, 48(6): 75-79.
- Abstract ( 465 ) PDF (675KB) ( 1101 ) Save
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- Legendre polynomial method for solving Fredholm integro-differential equations of fractional order with variable coefficient
- HEN Yi-ming, SUN Hui, LIU Le-chun, FU Xiao-hong
- J4. 2013, 48(6): 80-86.
- Abstract ( 599 ) PDF (737KB) ( 1351 ) Save
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- Fixed point theorems of Altman type about convex-power condensing operator
- ZHANG Xiu-ping, ZHANG Guo-wei
- J4. 2013, 48(6): 87-90.
- Abstract ( 405 ) PDF (676KB) ( 1179 ) Save
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- Existence of solutions for a class of second order singular impulsive differential equations
- SUN Yan-mei1, ZHAO Zeng-qin2
- J4. 2013, 48(6): 91-95.
- Abstract ( 409 ) PDF (639KB) ( 1443 ) Save
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- A fast algorithm for finding the inverse and generlized inverse of the first and the last difference circulant matrices
- LI Jing, HE Cheng-yuan
- J4. 2013, 48(6): 96-99.
- Abstract ( 460 ) PDF (620KB) ( 1387 ) Save
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- The direct limits in the category of closedset lattices
- LI Hai-yang
- J4. 2013, 48(6): 100-103.
- Abstract ( 559 ) PDF (678KB) ( 1481 ) Save
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- The product operations and related decompostions of fuzzy graphs
- WANG Dong-yan, LI Shenggang*, YANG Wen-hua
- J4. 2013, 48(6): 104-110.
- Abstract ( 517 ) PDF (675KB) ( 1321 ) Save
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By the atomic decompositions of Herz-type Hardy spaces and the definition of Herz spaces, using the (q,q) boundedness of the commutator of the Marcinkiewicz integral satisfying the logarithmic Lipschitz condition, the boundedness of the commutator of this class of Marcinkiewicz integral on Herz-type Hardy spaces is obtained. This resultd improves the theory of Marcinkiewicz integral operators.

Let G be a finite group. It is proved that if G／F*(G) has no chief factor isomorphic to Cp, then the Coleman outer automorphism group of G is a p′group by considering the structure of Sylow psubgroups of G.

Complete moment convergence of weighted sums of arrays of rowwise ND random variables was discussed. By applying moment inequality and truncation methods, the sufficient condition of complete moment convergence ofweighted sums of arrays of rowwise ND random variables was obtained. The relevant result of complete moment convergence of weighted sums of arrays of rowwise ND random variables was improved.

The existence and uniqueness of the reflected solutions of anticipated BSDEs was proved, and an optimal stopping time problem was solved as an application.

The general neighbordistinguishing indices of the strong products and compositions of two graphs with certain conditions are discussed, and the general neighbordistinguishing indices of PnC2m+1, C2nFm, C2nW2m+1, PnFm, PnW2m+1, C2n+1C2m+1, Pn［C2m+1］, C2m+1［Pn］, C3［C2m+1］, C2m+1［C3］ are obtained.

An eigenvalue of graphs is called a main eigenvalue if it has an eigenvector the sum of whose entries is not zero. By studying the relationship between the main eigenvalue and the equitable partition of graphs, it gives some trees with exactly three main eigenvalues and computing method of main eigenvalues.

Normal family of differential monomial of meromorphic functions that share one value are studied, and obtained some normality criteria are obtained.

To reflect the coordination in the supply chain of perishable products with free competition, a single manufacturer and two retailers supply chain model facing the stochastic demand in relation with different prices and the return mechanism is established. The analysis shows that the profit of total supply chain without competition is obviously fewer than that with competition, and through the special linear model the paper employs the result, also gives the optimal price and order quantity in the coordination of the supply chain.

The theory of Grbner bases for the ideals in a polynomial ring with countably infinite variables over a field is extended to that of dynamical Grbner bases. An important property of the dynamical reduced Grbner bases is discussed.

A sufficient and necessary condition that a Morita context ring T is a VNL ring is given by introducing the definition of the pair of partial modules. The properties that Morita Context rings are left Quasi-duo rings, DS rings and left Quasi-morphic rings are also characterized.

Let q be a pth root of unity, and L be the derivation Lie algebra over the rank two quantum torus Cq. Let W=Fαg (V) be the L-module define by functor Fαg applied to a finite dimensional gl2-module V. Then the derivations from L to its modules W are most often inner, except for some case, and the first cohomology group H1(L, W) is most often trivial.

For the complex inventory control and demand distribution caused by introducing network sale, a satisfaction based inventory and distribution strategy was proposed. A biobjective nonlinear integer constraint programming model was established to minimize the system cost and maximize the time satisfaction, the elite recombination based hybrid multiobjective evolutionary algorithm (ERHMEA) was proposed. Numerical simulation proves the bi-objective model is better than single ones. The algorithms show obvious superiority in both solution quality and efficiency, and the sensitivity analyses of key parameters provide important conclusions and effective bases for enterprises to optimize their decision-making.

The decentralized output feedback global output tracking is studied for a class of large-scale nonlinear systems satisfying the Lipschitz condition. On the basis of recursive processing of given reference signals, time-varying decentralized output feedback trackers with two classes of design parameters are proposed. By choosing suitable values for the parameters, the proposed trackers can make the output of each subsystem globally exponentially track the corresponding reference signal. Finally, a simulation is given to demonstrate the effectiveness of the conclusion.

The mixed jump-diffusion fractional Brownian motion model under the Itó formula and fractional diffusion process with non-homogeneous Poisson process was proposed. By using the iterative method, the Cauchy initial problem of stochastic differential equations were estimated under the conditions of Merton assumptions. Then the pricing Mertonformula of European option that meets the pricing model for the European floating strike price of the lookback option was obtained. Finally the pricing formulas of floating strike lookback call option and lookback put option were proofed.

An economical finite difference method is proposed for solving the problem of solute transport with nonlinear diffusion and sourcesink terms. The transport term is discretized by the method of characteristics, and the difference systerm are docomposed to several problems of individual variable using alternating direction method. An interpolation operator is introduced for the technique of characteristics. The stability and convergence are analysed by energy method.

In order to solve the Fredholm integro-differential equations of fractional order with variable coefficient, By using Caputo fractional derivative and property, the arbitrary order derivatives expressed by Legendre polynomial are acquired, then using Legendre series on the approximation in the interval, the fractional integral differential equations can be changed into matrix form of the equation, using collocation method. The original integral differential equations numerical solution are obtained. A numerical example is presented, which verifying the feasibility and effectiveness of the method.

The existence of fixed points about convex-power condensing operator is discussed under the inequality conditions in which the first exponent is respectively greater than 1 and between 0 and 1, the second exponent is not less than 0. Some new conclusions are obtained which extend and supplement the fixed point theorems of Altman type.

The existence of solutions for a class of singular boundary value problems of second order impulsive differential equations are studied. When the nonlinear term satisfies weaker conditions, by using the method of upper and lower solutions the existence conditions of solutions for boundary value problems are obtained. The results generalize and involve some results to some degree.

The definitions of the minus of the first and the last circulant matrices are proposed. A fastand algorithm which can be used to compute the inverse and generlized inverse of the minus of the first and the last circulant matrices is presented by the elementary row transformation of polynomial matrix.

The direct limits in the category of closed-set lattices—the category of closed-set lattices and mappings which preserves arbitrary unions and nonzero co-prime elements is studied. By the way of closed-setlatticefies of joinsemilattice, the structure of direct limits in the category of closed-set lattices is given on the certain condition.

The lexicographic product of two fuzzy graphs and gives some necessary or sufficient conditions are given under which a fuzzy graph can be decomposited into a strong product, direct and lexicographic product of two fuzzy graphs. It is proved that the strong product, direct product or lexicographic product of partial fuzzy subgraphs of two fuzzy graphs is a partial fuzzy subgraph of strong product, direct product or lexicographic product of the two fuzzy graphs. Some isomorphism theorems on these products of fuzzy graphs are also obtained.