Publication Cover
Applicable Analysis
An International Journal
Volume 37, 1990 - Issue 1-4
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Original Articles

The iterated abstract euler-poisson-darboux problem for negative values of the parameter

Pages 213-225 | Published online: 02 May 2007

References

  • Blum , E.K. 1954 . The Euler-Poisson-Darboux equation in the exceptional cases . Proc. Amer. Math. Soc, , 5 : 511 – 520 .
  • Bragg , L.R. 1969 . Hypergeometric operator series and related partial differential equations . Trans. Amer. Math. Soc, , 143 : 319 – 336 .
  • Bragg , L.R. 1974 . Related non-homogeneous partial differential equations . Appi Anal , 4 : 161 – 189 .
  • Bragg , L.R. 1977 . Some abstract Cauchy problems in exceptional cases . Proc. Amer. Math. Soc, , 65 : 105 – 112 .
  • Bragg , L.R. 1981 . Vector lifting and*factorable differential operators . SIAM J. on Math. , 12 : 722 – 730 .
  • Bragg , L.R. 1983 . Exceptional Cauchy problems and regular singular points . Appl. Anal, , 14 : 203 – 211 .
  • Bragg , L.R. 1986 . Non-homogeneous differential equations that involve iterated operators . Mat. Aplic. Comp , 5 : 185 – 197 .
  • Bragg , L.R. 1988 . Exponential sums and certain hypergeometric type initial value problems . ApvL Anal , 30 : 115 – 127 .
  • Bragg , L.R. and Dettman , J.W. 1968 . An operator calculus for related partial differential equations . J. of Math. Anal. Appl , 22 : 261 – 271 .
  • Diaz , J.B. and Weinberger , H.F. 1953 . A solution of the singular initial value problem for the Euler-Poisson-Darboux equation . Proc. Amer. Math. Soc , 4 : 703 – 715 .
  • Donaldson , J.A. 1970 . A singular abstract Cauchy problem . Proc. Nat. Acad. Sci , 66 : 269 – 274 .
  • Magnus , W.F. , Oberhettinger , R.P. and Soni . 1966 . Formulas and theorems for the special functions of mathematical physics , New York : Springer-Verlag .
  • Roberts , G.E. and Kaufman , H. 1966 . Table of Laplace transforms .
  • Weinstein , A. 1952 . Sur le probleme de Cauchy pour lequation de poisson et lequation des ondes . C. R. Acad. Sci. Paris, , 234 : 2584 – 2585 .
  • Weinstein , A. 1954 . On the wave equation and the equation of Euler-Poisson . Proc. Sympos. Appl. Math. , 5 : 137 – 147 .
  • Bragg , L.R. 1954 . Complex transformations of solutions of generalized initial value heat problems . to appear in Rocky Mtn. Math. J , 5
  • Burns , J.C. 1967 . The iterated equation of generalized axially symmetric potential theory IIGeneral solutions of Weinstein's type . J. Australian Math. Soc , 7 : 277 – 289 .
  • Burns , J.C. 1970 . The iterated equation of generalized axially symmetric potential theory V, Generalized Weinstein correspondence principle . J. Australian Math. Soc. , 11 : 129 – 141 .
  • Weinstein , A. 1965 . Some applications of generalized axially symmetric potential theory to continuum mechanics . Proc. Inter. Syrups , 11 : 440 – 453 .

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