LINEAR STIELTJES EQUATION WITH GENERALIZED RIEMANN INTEGRAL AND EXISTENCE OF REGULATED SOLUTIONS

作     者：L.BARBANTI 

作者机构：Instituto de Matemática e Estatística Departamento de Matemática Universidade de São Paulo São Paulo Brasil 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2001年第17卷第4期

页      面：526-531页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was developed at the Institute of Mathematics of the Czech Republic Academy of Sciences atPraha  with financial supp 

主　　题：Existence of regulated solutions integral equations approximation scheme in time for Stieltjes equations 

摘      要：In this work we establish an existence theorem of regulated solutions for a class of Stieltjes equations which involve generalized fuemann kind of integrals. The general method spplied consists in considering the continuous-time Stieltjes equation as limit of discrete processes. This approach will prove fruitful in the study of the controllability of Stieltjes systems, because it will be possible to get properties on the continuous time equation by transferring properties of the discrete ones.