JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)

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 ( 989 )

PDF (746KB) ( 1648 )

Save

Related Articles | Metrics

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.

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 ( 1062 )

PDF (629KB) ( 1293 )

Save

Related Articles | Metrics

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 psubgroups of G.

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 ( 1083 )

PDF (626KB) ( 1995 )

Save

Related Articles | Metrics

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.

Reflected solutions of anticipated BSDEs and related optimal stopping time problem

XU Xiao-ming

J4. 2013, 48(6): 14-17.

Abstract ( 1158 )

PDF (663KB) ( 1624 )

Save

Related Articles | Metrics

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

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 ( 1284 )

PDF (654KB) ( 1698 )

Save

Related Articles | Metrics

The general neighbordistinguishing indices of the strong products and compositions of two graphs with certain conditions are discussed, and the general neighbordistinguishing 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.

Trees with exactly three main eigenvalues

SUN De-rong, XU Lan

J4. 2013, 48(6): 23-28.

Abstract ( 867 )

PDF (894KB) ( 1481 )

Save

Related Articles | Metrics

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.

Normality criteria of meromorphic functions for differential monomial sharing one value

ZHANG Xiao-bin

J4. 2013, 48(6): 29-33.

Abstract ( 954 )

PDF (630KB) ( 1568 )

Save

Related Articles | Metrics

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

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 ( 971 )

PDF (877KB) ( 1733 )

Save

Related Articles | Metrics

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.

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 ( 994 )

PDF (616KB) ( 1846 )

Save

Related Articles | Metrics

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.

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 ( 1286 )

PDF (656KB) ( 1936 )

Save

Related Articles | Metrics

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.

The derivations from the Lie algebra of derivations for quantum torus to its modules

JIANG Jing-lian

J4. 2013, 48(6): 46-50.

Abstract ( 1021 )

PDF (639KB) ( 1402 )

Save

Related Articles | Metrics

Let q be a pth 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.

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 ( 1102 )

PDF (1611KB) ( 1586 )

Save

Related Articles | Metrics

For the complex inventory control and demand distribution caused by introducing network sale, a satisfaction based inventory and distribution strategy was proposed. A biobjective nonlinear integer constraint programming model was established to minimize the system cost and maximize the time satisfaction, the elite recombination based hybrid multiobjective 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.

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 ( 874 )

PDF (877KB) ( 1167 )

Save

Related Articles | Metrics

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.

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 ( 1304 )

PDF (677KB) ( 1511 )

Save

Related Articles | Metrics

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 Mertonformula 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 scheme for solute transport

ZHANG Jian-qing1,2, XIE Wei-wei3, ZOU Wan-ping3, WEN Yong-yan3

J4. 2013, 48(6): 75-79.

Abstract ( 1033 )

PDF (675KB) ( 1584 )

Save

Related Articles | Metrics

An economical finite difference method is proposed for solving the problem of solute transport with nonlinear diffusion and sourcesink 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.

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 ( 1255 )

PDF (737KB) ( 2020 )

Save

Related Articles | Metrics

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.

Fixed point theorems of Altman type about convex-power condensing operator

ZHANG Xiu-ping, ZHANG Guo-wei

J4. 2013, 48(6): 87-90.

Abstract ( 905 )

PDF (676KB) ( 1385 )

Save

Related Articles | Metrics

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.

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 ( 876 )

PDF (639KB) ( 1725 )

Save

Related Articles | Metrics

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.

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 ( 1035 )

PDF (620KB) ( 1997 )

Save

Related Articles | Metrics

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

LI Hai-yang

J4. 2013, 48(6): 100-103.

Abstract ( 1050 )

PDF (678KB) ( 1749 )

Save

Related Articles | Metrics

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-setlatticefies of joinsemilattice, the structure of direct limits in the category of closed-set lattices is given on the certain condition.

The product operations and related decompostions of fuzzy graphs

WANG Dong-yan, LI Shenggang*, YANG Wen-hua

J4. 2013, 48(6): 104-110.

Abstract ( 1103 )

PDF (675KB) ( 1704 )

Save

Related Articles | Metrics

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.

Table of Content