New Lipschitz-type conditions for uniqueness of solutions of ordinary differential equations

被引：0
|
作者：
Cid, Jose Angel [1 ,2 ]
Pouso, Rodrigo Lopez [1 ,3 ]
Lopez, Jorge Rodriguez [1 ,3 ]
机构：
[1] CITMAga, Santiago De Compostela 15782, Spain
[2] Univ Vigo, Dept Matemat, Campus Ourense, Vigo 32004, Spain
[3] Univ Santiago Compostela, Dept Estat Analise Matemat & Optimizac, Campus Vida, Santiago De Compostela 15782, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 514卷 / 02期
关键词：
Uniqueness; Ordinary differential equation; Lipschitz condition; Osgood condition; f ( t; y ); x ) ? k ( t ) ? ( y; x ); for x < (1; 2); EXISTENCE;
D O I：
10.1016/j.jmaa.2022.126349
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs. We illustrate the applicability of our results with examples not covered by earlier Lipschitz-type uniqueness tests. (c) 2022 Elsevier Inc. All rights reserved.
引用
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页数：14
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