The Picard-Lindelof Theorem and continuation of solutions for measure differential equations

被引：1

作者：

Beltritti, Gaston ^{[1
]}

Demaria, Stefania ^{[1
]}

Giubergia, Graciela ^{[1
]}

Mazzone, Fernando ^{[1
]}

机构：

[1] Univ Nacl Rio Cuarto, Fac Ciencias Exactas Fis Quim & Nat, Dept Matemat, Ruta Nac 36 Km 601,X5804BYA, Rio Cuarto, Cordoba, Argentina

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2025年 / 75卷 / 01期

关键词：

measure differential equation; Lebesgue-Stieltjes integral; fixed point theory; maximal solution; EXISTENCE; STABILITY; SYSTEMS;

D O I：

10.21136/CMJ.2023.0236-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain, by means of Banach's Fixed Point Theorem, convergence for the Picard iterations associated to a general nonlinear system of measure differential equations. We study the existence of left-continuous solutions defined on maximal intervals and we establish some properties of these maximal solutions.

引用

页码：47 / 68

页数：22

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