Differential Equations

, Volume 37, Issue 9, pp 1291–1302 | Cite as

On an Integral Representation of Resurgent Functions

  • B. Yu. Sternin
  • V. E. Shatalov


Differential Equation Partial Differential Equation Ordinary Differential Equation Functional Equation Integral Representation 
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    Écalle, J., Les fonctions résurgentes. I, II, III, Paris, 1981 1985.Google Scholar
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    Candelpergher, B., Nosmas, J.C., and Pham, F., Approche de la résurgence, Paris, 1993.Google Scholar
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    Delabaere, E., Computer Algebra and Differential Equations, 1994, vol. 193, pp. 59–102.Google Scholar
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    Sternin, B. and Shatalov, V., Borel-Laplace Transform and Asymptotic Theory, Florida, 1996.Google Scholar
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    Écalle, J., Introduction à l'accélération et à ses applications, Paris, 1993.Google Scholar
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    Ramis, J.-P., in Springer Lecture Notes in Physics, 1980, no. 126.Google Scholar
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    Ecalle, J., in Bifurcations and Periodic Orbits of Vector Fields, Kluwer Academic Publishers, 1993, pp. 75–184.Google Scholar
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    Schulze, B.-W., Pseudodifferential Operators on Manifolds with Singularities, Amsterdam, 1991.Google Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2001

Authors and Affiliations

  • B. Yu. Sternin
    • 1
  • V. E. Shatalov
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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