Theory and applications of first-order systems of Stieltjes differential equations

被引：57

作者：

Frigon, Marlene ^{[1
]}

Lopez Pouso, Rodrigo ^{[2
]}

机构：

[1] Univ Montreal, Dept Math & Stat, CP 6128,Succ Ctr Ville, Montreal, PQ, Canada

[2] Univ Santiago de Compostela, Dept Math Anal, Fac Math, Campus Vida, Santiago 15782, Spain

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2017年 / 6卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Existence; ordinary differential equation; Stieltjes integration; TIME SCALES;

D O I：

10.1515/anona-2015-0158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives. This type of equations contains as particular cases dynamic equations on time scales and impulsive ordinary differential equations.

引用

页码：13 / 36

页数：24

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