On the initial value problems of first order impulsive differential systems

The purpose of this paper is to study the existence and iterative approximation of minimax quasi-solutions for a class of initial value problems of first order impulsive differential systems by using monotone iterative methods. Project supported by the National Natural Science Foundation of China     

Use of weak quasi-solutions of the Fredholm first-kind equation in problems with scarce data

This paper addresses the situation where the available data are insufficient to obtain a stable approximate solution. Instead solving the problem directly, it is proposed to convert the linear integral Fredholm first-kind equation to the equation for the anti-derivative of the unknown function. The L_p-compact of monotone bounded functions is the natural set of well-posedness for the modified equation. This transformation does not impose any a priori restriction on the class of solutions. In many applications a weak solution provides sufficient information on the unknown function. A numerical example is presented for application to the important problem in biology of reconstruction of age composition from size distribution data for a population.     

ON THE INITIAL VALUE PROBLEMS OF FIRST ORDER IMPULSIVE DIFFERENTIAL SYSTEMS

I.IntroductionThetheoryofimpulsivedifferentialequationsisanewandimportantbranchofdifferentialequations(see[11).In[21theexistenceproblemofsolutionsforinitialvalueproblemoffirstorderdifferentialsystemhasbeenconsidered.Byusingmonotoneiterativemethodsthispaperaimsatstudyingtheexistenceofminimaxquasi-solutionsforthefollowinginitialvalueproblemoffirstorderimpulsivedifferentialsystems:wilersf=(fi,fZ,..',fk)eC[JXRex'Rk,Rk],J=[0,TI(T>0),0相似文献   

Banach空间中半线性发展方程的复合单调迭代技巧

本文对具有正则锥的序Banach空间中半线性发展方程，利用C0-半群理论和复合单调迭代技巧，构造出了抽象迭代格式，并建立了最大、最小(拟)解的存在性．