A note on Cauchy-Lipschitz-Picard theorem

作者：Feng, Zonghong; Li, Fengying^*; Lv, Ying; Zhang, Shiqing

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, 2016(1): 271.

DOI：10.1186/s13660-016-1214-x

• initial value problems
• generalized Lipschitz condition
• global existence and uniqueness

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.

• 出版日期2016-11-4
• 单位西南大学; 西南财经大学; 四川大学