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Homework Help: Existence of solution for IVP

  1. Sep 12, 2010 #1
    1. The problem statement, all variables and given/known data
    suppose that h [tex]\in[/tex]C(R) and f[tex]\in[/tex]C(R^2) satisfies
    |f(t,x)|[tex]\leq[/tex]h(t) |x| for all (t,x) [tex]\in[/tex]R^2. Show that for any point , the IVP : x' = f( t, x) x( [tex]\tau[/tex])=[tex]\varsigma[/tex]
    has a solution which exists for all t in R


    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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