Publication Cover
Applicable Analysis
An International Journal
Volume 5, 1975 - Issue 2
28
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Original Articles

Singular perturbation of the wave equation

Pages 117-123 | Received 15 Feb 1972, Published online: 02 May 2007

References

  • Bourgin , D.G. and Duffin , R. 1939 . The Dirichlet problem for the vibrating string . Bid. Am. Math. Soc , 45 : 851 – 858 .
  • Fritz , John . 1941 . The Dirichlet problem for a hyperbolic equation . Am, J. Math , 639 : 141 – 154 .
  • Fox , D. W. and Pucc , C. 1958 . The Dirichlet problem for the wave equation . Ann. Mat. , 46 : 155 – 182 .
  • Dunninger , D. R. and Zachmanouglou , E. C. 1967 . The condition for uniqueness of the Dirichlet problem for the wave equation in rectangular coordinates . J. Math. Anal. , 20 : 17 – 21 .
  • Dunninger , D.R. and . Zachmanouglou , E.C. 1969 . The condition for uniqueness of the Dirichlet problem for hyperbolic equations in cylindrical domains . Math. Mech. , 18 : 763 – 766 .
  • Sigillito , V.G. 1970 . On the uniqueness of solutions of certain improperly posed problems . Proc. Am. Math. Soc , 24 : 828 – 831 .
  • Abdul-Latif , A. I. , Diaz , J.B. and Dirichlet . 1971 . Neumann and mixed boundary valueproblems for the wave equation uxx-uyy = 0 for a rectangle . Appl. Anal , 1 : 1 – 12 .
  • Young , E.C. 1971 . Uniqueness of solutions of the Dirichlet and Neumann problems for . Trans. Am. Math. Soc , 1 : 403 – 409 .
  • Young , E. C. 1972 . Uniqueness of the Dirichlet problem for ultra-hyperbolic equations with multiple singular lines . Proc. Am. Math. Soc , 36 : 130 – 136 .
  • Comstock , C. 1971 . Singular perturbations of elliptic equations I . SIAMJ. Appl Math , 20 : 491 – 503 .
  • C , Comstock . 1971 . Singular perturbations of elliptic equations II , 200 – 206 . Springer-Verlag .
  • Victor , Barcilon . 1968 . Axi-symmetric inertial oscillations of a rotating ring of fluid . Mathematika , 15 : 93 – 102 .

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