A note on Cauchy-Lipschitz-Picard theorem

Journal of inequalities and applications

Zonghong Feng¹ 

关键词: initial value problems;    generalized Lipschitz condition;    global existence and uniqueness;    34A34;    34C25;    34C37;   

DOI  :  10.1186/s13660-016-1214-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY