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26 February 1997, Volume 17 Issue 1 Previous Issue    Next Issue

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Symmetry and Monotonicity Propertles for Positive Solutions in Systems of Semilinear Elliptic Equations Shi Xiaoding, Gu Yonggeng, Chen Jing Acta mathematica scientia,Series A. 1997, 17 (1):  1-9.  Abstract ( 77 )   RICH HTML PDF (600KB) ( 74 )   Save This paper is concerned with symmetry and monotonicity properties for positive solutions of systems of semilinear elliptic equations with mixed boundary value conditons on the sector-like domain. Related Articles | Metrics

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Parallel Block Implicit Hybrid One-Step Methods with Higher Order Derivative Liu Gang Acta mathematica scientia,Series A. 1997, 17 (1):  10-17.  Abstract ( 69 )   RICH HTML PDF (442KB) ( 77 )   Save In this paper, a class of K-block implicit hybrid methods with higher order derivative for the numerical integration of initial value problems in ordinary differential equations are derived. By the methods, a block of K new values can be obtained simultaneously on S-processors. It is shown that the method of order (l + 1) (d + 1) exist, where K=s· d. The theorems of convergence and numerical stability are presented, and one numerical experiment is also given. Related Articles | Metrics

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Double-Soliton Effect on Helix Chain Model of the Alpha-Helix Protein Wu Guangmin, Zhou Lingyun Acta mathematica scientia,Series A. 1997, 17 (1):  18-24.  Abstract ( 68 )   RICH HTML PDF (440KB) ( 75 )   Save The helix chain model of the alpha-helix protein is advance. This is based one-emensional straight moder of the alpha-helix protein. The double-soliton characteristic-collective excitation in the molecule helix chain is studied and the non-coupling double-soliton solution is discussed. Related Articles | Metrics

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A Class of Singulaly Perturbed Problem for Reaction Diffusion Equations With Nonlocal Boundary Conditions Mo Jiaqi, Chen Yusen Acta mathematica scientia,Series A. 1997, 17 (1):  25-30.  Abstract ( 91 )   RICH HTML PDF (330KB) ( 188 )   Save A class of initial-boundary value problems for the singularly perturbed reaction diffusion equations with nonlocal boundary conditions are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for the initial boundary value problems are studied. Related Articles | Metrics

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A Necessary Condition on Exitence of Global Solutions of Nonlinear Wave Eguations Zhang Quande Acta mathematica scientia,Series A. 1997, 17 (1):  31-37.  Abstract ( 61 )   RICH HTML PDF (417KB) ( 80 )   Save In this paper, a necessary condition on existence of global classical solutions is obtained for the Canchy problems of nonli-near wave eguations,uu=△u+f(u),(|f(u)|=|u|p,p>1) when initial data belong to some neighborhood of 0 in space C0k(Rn). We also prove that classical and generaliged solutions hcwe the same life span,And the estimation of upper bound of the life span is obtained. Related Articles | Metrics

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An Empirical Likelihood Estimation of the Error Variance in Linear Correlation Models and its Bootstrap Shi Jian Acta mathematica scientia,Series A. 1997, 17 (1):  38-46.  Abstract ( 82 )   RICH HTML PDF (512KB) ( 68 )   Save In this paper,we use the empirical likelihood method to modify the least-square type estimation of the error variance in linear correlation model. It is shown that the modified estimation has smaller asymptotic variance than the traditional one. Meanwhile,we have given a bootstrap approximation for the modified estimation. Related Articles | Metrics

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Bayesian log Linear Estimates for High-Way Contingency Tables Chen Yongjun, Zhang Yaoting Acta mathematica scientia,Series A. 1997, 17 (1):  47-54.  Abstract ( 87 )   RICH HTML PDF (451KB) ( 72 )   Save This paper presents a Bayes method to estimate the expected proportions for high-way contingency tables appropriate when prior knowledge about the interaction effects can be described by a particular kind of exchangeability assumption.We give the expressions of estimates for four-way contingency tables based on general expressions equations.It extends the work of Leonard (1975) and Nazaret(1987) and useful algorithm also discussed. Related Articles | Metrics

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A Superlinear Convergence Algorithm of Generalized Gradient Projection Lai Yanlian, Zhu Jianqing, Guo Wenying Acta mathematica scientia,Series A. 1997, 17 (1):  55-63.  Abstract ( 53 )   RICH HTML PDF (476KB) ( 80 )   Save In this paper,we present a superlnear convergence algorithm for nonlinear optimization with linear constraints using matrix decomposition and generalized projection techniques. The algorithm nees not to search the set of δ-active constraints and only needs one computation to the proective matrix at each itertion. Numerical instability of computation is avoided. The algorithm is practical because inexact linear search is adopted and the iterative formula of inverse matrix are given too. The convergence theorem and superlnear convergence rate theorem of the algorithm are proved. Related Articles | Metrics

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Uniformly PL-Convexity of Complex Spaces and Inequalities of Analytic Martingale Bekjan Turdebek N Acta mathematica scientia,Series A. 1997, 17 (1):  64-73.  Abstract ( 55 )   RICH HTML PDF (596KB) ( 17 )   Save We study the relationships between some inequalities of ananlytic martingale with values in complex quasi-Banach space and uniformly PL-convexitiable of the space. We prove weak type (1,1), strong type (p, p) and a Φ inequalities of q-mean sequare funiction of analytic martingales with values in quasi-Banach space. Appling them to give some equivalent conditons of q -uniformly PL-convexitiable of the spaces. At the same time, appling growth velocity of q-mean square funicton of analytic martingales give characterization of q-uniformly PL-convexitiable spaces. Related Articles | Metrics

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A Further Discussion on the Complet Con-Vergence of Randomly Indexed Sums of B-Valued Elements Su Chun, Wang Yuebao Acta mathematica scientia,Series A. 1997, 17 (1):  74-80.  Abstract ( 52 )   RICH HTML PDF (424KB) ( 73 )   Save In this paper, we obtain sufficient conditions for the complete convergence of the randomly indexed sums of the B -valued elements on basis of a series of equivalence relations of the complete convergence for the non-randomly indexed sums of the B-valued elements,improve and perfect some results of relevant references, and preliminary discuss necessary problem for the moment conditions. In this paper, we obtain sufficient conditions for the complete convergence of the randomly indexed sums of the B-valued elements on basis of a series of equivalence relations of the complete convergence for the non-randomly indexed sums of the B-valued elements,improve and perfect some results of relevant references, and preliminary discuss necessary problem for the moment conditions. Related Articles | Metrics

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Exact Solitary Wave Solutions for Nonlinear Wave Equations Using Symbolic Computation Li Zhibin, Zhang Shanqing Acta mathematica scientia,Series A. 1997, 17 (1):  81-89.  Abstract ( 72 )   RICH HTML PDF (612KB) ( 243 )   Save In this paper the Mathematics-Mechanization method is applied the field of differential equations. A unifying algorithm for constructing solitary wave solutions for a class of nonlinear evolution equations are given, and implemented in a.computer algebraic system.Exact solitary wave solutions of a great deal of nonlinear equations are obtained. The algorithm is based on the fact that the solitary wave solutions are essentially of a localized nature. Seeking solitary wave solutions which are in terms of hyperbolic tangent function gives a nonlinear system of algebraic equations. The system is solved by using Wu Elimination and the exact solutions of nonlinear evolution equation(s) are then obtained. Related Articles | Metrics

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The Converse to the Mean Value Theorem for Harmonic Functions and Harmonic Measure Liu Jiakun, Lai Xuejian Acta mathematica scientia,Series A. 1997, 17 (1):  90-94.  Abstract ( 75 )   RICH HTML PDF (279KB) ( 223 )   Save In this paper we apply the theory of Markov chains to prove the converse to the mean value theorem for harmonic functions. And in a λ-Hölder space we derive convergent rate of n-fold convolution of averaging operator. Related Articles | Metrics

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Kalman-Bucy Filtering of Continuous-Time System with Unknown Parameter Vector Wang Yaoyuan Acta mathematica scientia,Series A. 1997, 17 (1):  95-98.  Abstract ( 80 )   RICH HTML PDF (227KB) ( 27 )   Save In this paper we discuss the continuous-time linear system with the unknown parameter vector. We obtained the estimate formulas of the unknown parameter vector and the filtering formula of the system state. formulas obtained in this paper enable us to estimate the unknown parameter vector and the system state simultaneously, which was processed separately before our work. Related Articles | Metrics

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On the Optional (Predictable) Projections of Measurable Multivalued Stochastic Processes Valued in a Separable Reflexive Banach Space NieZankan, ZhangWensiu, GaoYong Acta mathematica scientia,Series A. 1997, 17 (1):  99-104.  Abstract ( 59 )   RICH HTML PDF (390KB) ( 79 )   Save Let {Ft,Ft,t∈R+} be a measurable multivalued stochas processes valued in a seperable reflexive Banach Space. The preset paper shows that if for every stopping time T,FTI[T<∞] is σ-integrable with respect to the σ -field of events(strictly) prior to T, Then {Ft,t∈R+) has an opitional (predictable) projection processe. Related Articles | Metrics

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Bounded Linear Operator and Basic Sequences Shi Feng Acta mathematica scientia,Series A. 1997, 17 (1):  105-110.  Abstract ( 73 )   RICH HTML PDF (340KB) ( 77 )   Save In this paper,we characterize some geometrical properties and some special operators of Banach space by using basic sequence, and get some good results, such as:For a bounded linear operator T:X→Y,T is an isomorphism iff for every basic sequence {xn}1 in X, T|[xt]t=1∞ is an isomorphism; we also get some characters of compact operator T:c0→X. Related Articles | Metrics

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The Reguler Crowth of Taylor Series Gao Zongsheng, Sun Daochun Acta mathematica scientia,Series A. 1997, 17 (1):  111-120.  Abstract ( 66 )   RICH HTML PDF (503KB) ( 232 )   Save This paper makes a systematical study on the reguler growth of Taylor series,and obtains some necessary and sufficient conditions of the relation between the coefficients and the order of growth of Taylor series. Related Articles | Metrics