Request resources to understand Picard–Lindelöf for ODEs

[adf89812]

I always confuse picard-lindelof forints converse. I want additional reading but don't know how to find it.

Moderator Note: Moved from Academic Advising since it is too specific, and too narrow for Science Textbooks.

 

[fresh_42]

You confuse Picard-Lindelöf with what? Hungarian money? And what are you looking for? The internet is full of proofs of Picard-Lindelöf.

 

[pbuk]

So that we can help you with this, can you post here:

1. what you think is the converse of the Picard–Lindelöf theorem?
2. an example of where you have had this confusion?

 

[mathwonk]

Since Picard-Lindelof gives a sufficient condition for the existence of a unique solution to an ODE, perhaps by a converse you mean a necessary condition. Such a condition is called Okamura's (uniqueness) theorem, which you can search online.

 

[fresh_42]

I always confuse picard-lindelof forints converse. I want additional reading but don't know how to find it.

Though shall not go unanswered:
https://www.physicsforums.com/insig...ystems-and-nature/#Theorem-of-Picard-Lindelof

 

[MidgetDwarf]

This poster just creates threads and never replies back. Not sure if its a bot.

 

[berkeman]

This poster just creates threads and never replies back. Not sure if its a bot.

Agreed. OP is on a temporary vacation from PF, and this thread is now locked. Thanks all for trying to help the OP with their question.