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 50 条

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AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (08): : 948 - &
[2] A general Lipschitz uniqueness criterion for scalar ordinary differential equations
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[3] EXISTENCE AND UNIQUENESS OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
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[7] A GENERALIZED LIPSCHITZ CONDITION AS UNIQUENESS CRITERION IN THE CASE OF ORDINARY DIFFERENTIAL-EQUATIONS
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[8] On Lipschitz conditions for ordinary differential equations in Fréchet spaces
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[9] UNIQUENESS FOR ORDINARY DIFFERENTIAL EQUATIONS
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[10] UNIQUENESS OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
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