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Applicable Analysis
An International Journal
Volume 1, 1971 - Issue 1
114
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Original Articles

Dirichlet, Neumann, and mixed boundary value problems for the wave equation uxxuyy=0 for a rectangle

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Pages 1-12 | Published online: 04 Mar 2011

References

  • Hadamard , J. 1921 . On some topics connected with linear partial differential equations . Proc. Benares Math. Soc , 3 : 33 – 48 .
  • Hadamard , J. 1936 . Equations aux derivees partielles . L'Enseignement Mathematique , 35 : 5 – 42 .
  • Bourgin , D. G. and Duflfin , R. 1939 . The Dirichlet problem for the vibrating string equation . Bull. Amer. Math. Soc , 45 : 851 – 858 .
  • Picone , M. 1940 . Appunti di Analisi Superiore , 679 – 683 . Napoli : Rondinella .
  • John , F. 1941 . The Dirichlet problem for the hyperbolic equation . J. Amer. Math. Assoc , 63 ( 1 ) : 141 – 154 .
  • Fox , D. W. and Pucci , C. 1941 . The Dirichlet problem for the wave equation . Annali di Matematicapuraedapplicata , 63 ( 4 ) : 155 – 182 .
  • König , D. and Szücs , A. 1913 . Mouvement d'un point abandonné a l'intérieur d'un cube . Rendicontidel circolo matematico di Palermo , 36 ( 4 ) : 79 – 90 .
  • Hardy , G. H. and Wright , E. M. 1960 . Introduction to the Theory of Numbers , Oxford, Clarendon Press .

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