# Unsolved problems in differential equations?

1. Nov 20, 2009

### jonjacson

¿unsolved problems in differential equations?

Hi, I would like to talk with you about the modern lines of investigation about differential equations ( ode,pde...) , which are the most interesting unsolved questions, ecuations to solve, general tools for solving differential equations ....

I know we have learned a lot, but still there is a lot of work to do .

2. Nov 20, 2009

### LCKurtz

Re: ¿unsolved problems in differential equations?

I know a professor who when asked after a colloquium talk to state one of the most important unsolved problems in differential equations stepped to the chalkboard and wrote:

$$y' = f(x,y)$$

and sat down.

3. Nov 21, 2009

### MathematicalPhysicist

Re: ¿unsolved problems in differential equations?

Yes most equations can't be solved analyticly...

4. Nov 21, 2009

### jonjacson

Re: ¿unsolved problems in differential equations?

He should be more precise, I think that you could demonstrate the exixtence and uniqueness of a solution using Picard's method.

Perhaps he was asking for a general method to find the solution?

5. Nov 21, 2009

### g_edgar

Re: ¿unsolved problems in differential equations?

Here's one with a prize ...

http://www.claymath.org/millennium/Navier-Stokes_Equations/ [Broken]

Last edited by a moderator: May 4, 2017
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