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

页数：14

共 14 条

[11] Hoag JT, 2013, ELECTRON J DIFFER EQ
[12] Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan-Shen transversality conditions
Lopez Pouso, Rodrigo
Rodriguez-Lopez, Jorge
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 492 (01)
[13] A generalized Picard-Lindelof theorem
Siegmund, Stefan
Nowak, Christine
Diblik, Josef
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (28)
[14] A GENERALIZED LIPSCHITZ CONDITION AS UNIQUENESS CRITERION IN THE CASE OF ORDINARY DIFFERENTIAL-EQUATIONS
STETTNER, H
NOWAK, C
[J]. MATHEMATISCHE NACHRICHTEN, 1989, 141 : 33 - 35

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