¿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 .
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: [tex] y' = f(x,y)[/tex] and sat down.
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?
Re: ¿unsolved problems in differential equations? Here's one with a prize ... http://www.claymath.org/millennium/Navier-Stokes_Equations/