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Unsolved problems in differential equations?

by jonjacson
Tags: differential, equations, żunsolved
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jonjacson
#1
Nov20-09, 07:18 PM
P: 134
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 .
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LCKurtz
#2
Nov20-09, 07:44 PM
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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:

[tex] y' = f(x,y)[/tex]

and sat down.
MathematicalPhysicist
#3
Nov21-09, 02:32 AM
P: 3,222
Yes most equations can't be solved analyticly...

jonjacson
#4
Nov21-09, 08:28 AM
P: 134
Unsolved problems in differential equations?

Quote Quote by LCKurtz View Post
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:

[tex] y' = f(x,y)[/tex]

and sat down.
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?
g_edgar
#5
Nov21-09, 04:38 PM
P: 607
Here's one with a prize ...

http://www.claymath.org/millennium/N...kes_Equations/


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