A note on Cauchy-Lipschitz-Picard theorem

In this note, we try to generalize the classical Cauchy-Lipschitz-Picard theorem on the global existence and uniqueness for the Cauchy initial value problem of the ordinary differential equation with global Lipschitz condition, and we try to weaken the global Lipschitz condition. We can also get the...

Full description

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2016-11, Vol.2016 (1), p.1-6, Article 271
Main Authors: Feng, Zonghong, Li, Fengying, Lv, Ying, Zhang, Shiqing
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Differential equations
Existence theorems
generalized Lipschitz condition
global existence and uniqueness
Inequalities
Initial value problems
Lipschitz condition
Mathematics
Mathematics and Statistics
Theorems
Uniqueness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note, we try to generalize the classical Cauchy-Lipschitz-Picard theorem on the global existence and uniqueness for the Cauchy initial value problem of the ordinary differential equation with global Lipschitz condition, and we try to weaken the global Lipschitz condition. We can also get the global existence and uniqueness.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-016-1214-x