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Math Help - fixed point problem in norm

  1. #1
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    fixed point problem in norm

    fixed point problem in norm-qq-20121202233027.png


    set x(t)=1+∫2cos(s(f^2(s)))ds(from 0 to t) then check x(0)=1+∫2cos(s(f^2(s)))ds(from 0 to 0)=1 then the initial condition hold, by FTC, we have dx(t)/dt=2cos(tx^(t)), then solutions can be found as fixed points of the map

    but for secound part [0,T] i dont know how to begin can anyone help me ???
    Last edited by cummings123321; December 2nd 2012 at 05:29 PM.
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