Publication Cover
Applicable Analysis
An International Journal
Volume 72, 1999 - Issue 3-4
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Original Articles

Asymptotics of the nonnegative solutions of the general fifth painlevé equation

Painlevé equation

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Pages 501-517 | Received 01 Feb 1999, Published online: 02 May 2007

References

  • Garnier , R. 1967 . GarnierContribution á l'étude des solutions de l'equation (V) de Painlevé . J. Math, Pures Appl , 46 : 353 – 412 .
  • Its , A. R. and Novokshenov , V. Y. 1986 . “ The Isomonodromy Deformation Method in the Theory of Painlevé Equations ” . In Lecture Notes in Mathematics , Vol. 1191 , Springer—Verlag .
  • Kitaev , A. V. 1987 . The method of isomonodromy deformations and the asymptotics of solutions of the “complete” third Painlevé equation . Math. USSR Sbornik , 62 : 421 – 444 .
  • Shimomura , S. 1985 . On solutions of the fifth Painlevé equation on the positive real axis I . Funkcialaj Ekvacioj , 28 : 341 – 370 .
  • Shimomura , S. 1987 . On solutions of the fifth Painlevé equation on the positive real axis II . Funkcialaj Ekvacioj , 28 : 203 – 224 .

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