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A Differential equations without Green functions!

  1. Nov 12, 2016 #1

    ShayanJ

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    Are there differential equations that, for some reason, don't have a Green function? Are there conditions for a DE to satisfy so that it can have a Green function?
    Thanks
     
  2. jcsd
  3. Nov 12, 2016 #2

    pasmith

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    The entire concept is useless for non-linear DEs.
     
  4. Nov 12, 2016 #3

    ShayanJ

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    But can be used for all linear DEs?
     
  5. Nov 12, 2016 #4

    Orodruin

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    It is useful for solving non-linear DEs perturbatively so I don't know if I would call it useless for non-linear DEs.
     
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