Publication Cover
Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 7
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Original Articles

Existence of the transformation operator by the decomposition method

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Pages 713-719 | Received 02 Jul 2004, Accepted 02 Mar 2004, Published online: 19 Aug 2006

References

  • Gasymov , MG . 1965 . On the determination of the Sturm–Liouville equation with peculiarity in zero on two spectrum . DAN. SSSR , 161 ( 2 ) : 271 – 276 .
  • Volk , VY . 1953 . On inverse formulas for a differential equation with a singularity at x = 0 . Uspekhi Matematicheskikh Nauk , 8 ( 56 ) : 141 – 151 .
  • Levitan BM 1987 Inverse Sturm–Liouville Problems Netherland VNU Science Press
  • Gilbert , RP . 1969 . A method of ascent for solving boundary value problems . Bulletin of American Mathematical Society , 75 : 1286 – 1289 .
  • Gilbert , RP . 1970 . Construction of boundary value problems by function theoretic methods . SIAM Journal of Mathematical Analysis , 1 : 96 – 114 .
  • Boumenir , A and Chanane , B . 1999 . Computing eigenvalues of Sturm–Liouville systems of Bessel type . Proceedings of the Edinburg Mathematical Society , 42 : 257 – 265 .
  • Chanane , B . 2001 . High order approximations of the eigenvalues of Sturm–Liouville problems with coupled self-adjoint boundary conditions . Applicable Analysis , 80 : 317 – 330 .
  • Adomian , G . 1998 . A review of the decomposition method in applied mathematics . Journal of Mathematical Analysis and Applications , 135 : 501 – 544 .
  • Carlson , RA . 1997 . Borg-Levinson theorem for Bessel operator . Pacific Journal of Mathematics , 177 ( 1 ) : 1 – 26 .
  • Gardner , CS , Greene , JM , Kruskal , MD and Miura , RM . 1974 . Korteweg-De Vires equation and generalizations VI, methods for exact solutions . Communications on Pure and Applied Mathematics , V ( XXVII ) : 97 – 133 .
  • Cheng , TC , Zhang , HQ and Yan , ZY . 2001 . New and exact travelling wave solutions for a compound KdV-Burgers equation . Chinese Physics , 10 ( 8 ) : 694 – 697 .

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