MAXIMUM PRINCIPLE FOR THE OPTIMAL CONTROL OF AN ABLATION-TRANSPIRATION COOLING SYSTEM

This paper is concerned with an optimal control problem of an ablationtranspiration cooling control system with Stefan-Signorini boundary condition. The existence of weak solution of the system is considered. The Dubovitskii and Milyutin approach is adopted in the investigation of the Pontryagin‘s maximum principle of the system. The optimality necessary condition is presented for the problem with fixed final horizon and phase constraints.     

区间迭代法的“最优”收敛性分析

本文提出了区间迭代法的“最优”收敛性概念,对Krawczyk类区间迭代法的“最优”收敛性进行了分析,证明了Krawczyk—Moore算法是具有“最优”收敛性的区间迭代法。最后,还给出了一个关于Krawczyk类区间迭代法收敛的必要条件。     

ON THE CONVERGENCE ANALYSIS OF ALGORITHMS FOR GENERALIZED SET-VALUEDVARIATIONAL INCLUSIONS IN BANACH SPACES

In this paper, we are devoted to the convergence analysis of algorithms forgeneralized set-valued variational inclusions in Banach spaces. Our results improve, extend,and develop the earlier and recent corresponding results.     

CHARACTERISTIC ALTERNATING-DIRECTION FINITE ELEMENT METHODS FOR NONRECTANGULAR REGIONS FOR COUPLED SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA AND ITS ANALYSIS

For coupled system of multilayer dynamics of fluids in porous media, the characteristic alternating-direction finite element methods for nourectangular regions applicable to parallel arithmetic are put forward and two-dimensional and three-dimensional schemes are used to form a complete set. Some techniques, such as calculus of variations, isoparametric transformation, patch approximation, operator-splitting, characteristic method, negative norm estimate, energy method, the theory of prior estimates and techniques are used. For the nourectangular regions case, optimal order estimates in L^2 norm are derived for the error in the approximation solution. Thus the well-known theoretical problem has been thoroughly and completely solved. These methods have been successfully used in multilayer oil resources migration-accumulation numerical simulation.     

一般系统结构理论及其应用（Ⅰ）

定义若干新概念，从数学上推导一个新的一般系统模型，即一般系统结构模型。     

QUEUEING NETWORK MODELING AND ANALYSIS IN THE DESIGN AND EVALUATION OF SEAPORT SYSTEMS

1.IntroductionDlletothecapacityconstraintsacttiledeepwaterPiel.s,1llztllyI)ortsarefacinglongdelaysoftilea,rrivingstealllsllil)sarrivingfyolntilePad(~ifi(.oceitll.Ashot,e(lillYlle,etal.[1].ifports}'stellllllllst,l)eplannedtosatisfybotllill(>steamshipcolnpa…     

LOCAL ASYMPTOTIC PROPERTIES OF HAZARD RATE ESTIMATORS FOR TRUNCATED AND CENSORED DATA

1 IntroductionLet (X, T, Y) denote random variables where X is the variab1e of interest, called the lifetimevariab1e, with distribution function (d.f.) F; T is the random 1eft truncation time with arbitraryd.f G and Y is the random right censoring time with arbitrary d.f. H. It is assumed that Xis independent Of (T, Y), bnt T and Y may be dePendent and, Without 1oss of generality thatthey are nonnegative. In the random 1eft truncation and right censoring (LTRC) model oneobserves (Z, T…     

THE RATE OF UNIFORM CONVERGENCE OF THE SURVIVAL FUNCTION ESTIMATOR FOR TRUNCATED AND CENSORED DATA

1 Illtroduction and Main ResultsIn medical follow-up or engineering life testing studies one may not be able to observethe variable of inferest, referred to hereafter as the lifetime. Among the differellt forms inwhich incomplete data appears right censoring and left truncation are two common ones. Lefttruncation mad occur if the time origin of the lifetime precedes the time origin of the study.Only subjects that fail after the start of the study are being followed, otherwise they are lefttru…