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Integral equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg36143] Integral equations
  • From: "Toshiyuki \(Toshi\) Meshii" <meshii at mech.fukui-u.ac.jp>
  • Date: Fri, 23 Aug 2002 00:25:16 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,

Hello.

How can I solve the following integral equation?
Mathematica seems not to work.
Is there any way?

DSolve[((3*z)/d^3)*Integrate[\[Sigma]norm[z]^n*z, {z, 0, d}] ==
\[Sigma]norm[z]^n, \[Sigma]norm[z], z]

note: z>0 & n>1

I know that the answer is simple and
$B&R(Bnorm[z_] = (1 + 1/(2*n))*(z/d)^(1/n)

-Toshi




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