On the connection between Stieltjes differential equations and ordinary differential equations

被引：0
|
作者：
Adrian, F. [1 ,2 ]
Tojo, F. [1 ,2 ]
机构：
[1] Univ Santiago de Compostela, Dept Estat Anal Matemat Optimizac, Fac Matemat, Rua Lope Gomez Marzoa,S-N, Santiago De Compostela 15705, Spain
[2] Citmaga, Santiago De Compostela, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 546卷 / 01期
关键词：
Stieltjes differential equations; Stieltjes derivative; Sobolev spaces; Existence; TIME SCALES; TRANSFORM;
D O I：
10.1016/j.jmaa.2025.129248
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we establish a link between Stieltjes differential equations and ordinary differential equations, allowing for the transformation of one into the other. As applications, we prove Binding's theorem for the equation xg ' = f degrees x, as well as a topological result used in the theory of differential equations. (c) 2025 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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页数：32
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