Publication Cover
Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
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Original Articles

A simple solution method for the first boundary value problem of the polyharmonic equation

Pages 145-153 | Received 07 Sep 1990, Published online: 02 May 2007

References

  • Almansi , E. 1899 . SulPintegrazione dell'equazione differenziale Δ2nu = 0, . Ann. Mat. Pura Appl , 3 : 1 – 51 .
  • Duffin , R.J. and Nehari , Z. 1961 . Note on polyharmonic functions . Proc. Amer. Math. Soc , 12 : 110 – 115 .
  • Edenhofer , J. 1975 . Integraldarstellung einer m-polyharmonischen Funktion, deren Funk-tionswerte und erste m- 1 Normalableitungen auf einer Hypersphare gegeben sind . Math. Nachr , 68 : 105 – 113 .
  • Edenhofer , J. 1975 . Eine Integraldarstellung der Losung der Dirichletschen Aufgabe bei der Polypotentialgleichung im Falle einer Hyperkuge . Math. Nachr , 69 : 149 – 162 .
  • Goursat , E. 1898 . Sur l'equation ΔΔu=0, . Bull. Soc. Math. France , 26 : 236 – 237 .
  • Nicolescu , M. 1936 . Les fonctions polyharmoniques , Paris : Hermann .

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