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Question: Recursive integral equation

Question:Recursive integral equation

Al86 145 Maple 18
limit numeric
July 17 2015
0

I want to find numerically the limit lim(y[m](t),m = infinity), do you have an idea how to do implement it in maple?

 

 

> 

"h:=0.000065; Theta3(t):=sum(exp(-m^(2)*Pi^(2)*t),m=-100..100); y[0](t)=1; t>0; m>=1; y[m](t)=1-h*int(Theta3(s)(y[m-1](t-s))^(4),s=0..t); "

0.65e-4

  

proc (t) options operator, arrow; sum(exp(-m^2*Pi^2*t), m = -100 .. 100) end proc

  

Error, (in y[m]) too many levels of recursion

  

0 < t

  

1 <= m

  

Error, (in y[m]) too many levels of recursion

  
> 

``

 

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