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Re: Volterra Equation?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79454] Re: Volterra Equation?
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Fri, 27 Jul 2007 05:49:09 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, UK
  • References: <f89q1b$5lo$1@smc.vnet.net>

Angela Kou wrote:
> Hi:
> 
> I was wondering this equation could be solved in Mathematica:
> 
> B(x)=Integrate[1/(B(r)+k,r,0,a]
> 
> Thanks,
> Angela Kou

Hi Angela,

First, note that as written, your equation is syntactically incorrect 
both as a Mathematica expression (parentheses used where square brackets 
are required, assignment sign in place of equality test, etc.) and as a 
mathematical expression (missing/extraneous parenthesis in the denominator).

Second, the following threads should help you started to solve integral 
equation with Mathematica.

"Does anybody?" (very poor, meaningless title, indeed; however the 
subject is really about solving integral equations). Check especially 
Paul Abbott's reply, which contains a notebook.
http://groups.google.com/group/comp.soft-sys.math.mathematica/browse_thread/thread/72233d95dbcc4603/3773d64d0b1d3d82?lnk=gst&q=integral+equation&rnum=6#3773d64d0b1d3d82

"NDSolve with integral equation"
http://groups.google.com/group/comp.soft-sys.math.mathematica/browse_thread/thread/f70c1b8219428193/42814c84e2fb26d5?lnk=gst&q=integral+equation&rnum=4#42814c84e2fb26d5

"how to solve integral equation"
http://groups.google.com/group/comp.soft-sys.math.mathematica/browse_thread/thread/9d12644a49a34ab9/1d61d053920b8c30?lnk=gst&q=integral+equation&rnum=9#1d61d053920b8c30

Regards,
Jean-Marc


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