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Unsolved problems in differential equations?

  1. Nov 20, 2009 #1
    ¿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. jcsd
  3. Nov 20, 2009 #2

    LCKurtz

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    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.
     
  4. Nov 21, 2009 #3
    Re: ¿unsolved problems in differential equations?

    Yes most equations can't be solved analyticly...
     
  5. Nov 21, 2009 #4
    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?
     
  6. Nov 21, 2009 #5
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