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Complex Variables, Theory and Application: An International Journal Volume 48, 2003 - Issue 2
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Original Articles

Analytic Solutions for a Class of Nonlinear Ordinary Differential Equations

Daniel C. Biles Department of Mathematics, Western Kentucky University, Bowling Green, KY, 42101
,
Mark P. Robinson Department of Mathematics, Western Kentucky University, Bowling Green, KY, 42101
&
John S. Spraker Department of Mathematics, Western Kentucky University, Bowling Green, KY, 42101
Pages 143-154 | Published online: 15 Sep 2010

References

  • Baiser , W. 1997 . Existence and structure of complete formal solutions of non-linear meromorphic systems of ordinary differential equations . Asymptotic Analysis , 15 : 261 – 282 .
  • Braaksma , B.L.J. 1992 . Multisummability of formal power series solutions of nonlinear meromorphic differential equations . Ann. Inst. Fourier (Grenoble} , 42 : 517 – 540 .
  • Bureau , F.J. 1964 . Differential equations with fixed critical points . Ann. Mat. Pura Appl. , 64 : 229 – 364 .
  • Bureau , F.J. 1983 . Une théorie globale des systèmes différentiels ordinaires non linéaires dans le domaine complexe. Methods of Functional Analysis and Theory of Elliptic Equations (Naples. 1982} 53 – 78 . Liguori, , Naples
  • Herold , H. 1975 . Differentialgleichungen im Komplexen , Göttingen : Vandenhoeck and Ruprecht .
  • Hille , E. 1976 . Ordinary Differential Equations in the Complex Domain , New York : John Wiley and Sons .
  • Ramis , J.-P. and Sibuya , Y. 1994 . A new proof of multisummability of formal solutions of nonlinear meromorphic differential equations . Ann. Inst. Fourier (Grenoble} , 44 : 811 – 848 .
  • Rothe , F. 1997 . A variant of Frobenius' method for the Emden-Fowler equation . Applicable Analysis , 66 : 227 – 245 .

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