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Algebra i Analiz, 1996, Volume 8, Issue 1, Pages 145–159 (Mi aa634)  
Research Papers

Perturbation theory, Borel summability, and asymptotics

E. Calicetia, V. Grecchib, M. Maiolia

a Dipartimento di Matematica, Universitá di Bologna, Italy
b Dipartimento di Matematica, Universitá di Moderna, Italy
Full-text PDF (1740 kB)
Abstract: We discuss some results in stability, perturbation theory, and summation methods applied to anharmonic oscillators and Stark problems. In particular, using also other technique, we show how to get exact results or asymptotic behavior and to relate different asymptotics in a rigorous way.
Received: 13.09.1995
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. Caliceti, V. Grecchi, M. Maioli, “Perturbation theory, Borel summability, and asymptotics”, Algebra i Analiz, 8:1 (1996), 145–159; St. Petersburg Math. J., 8:1 (1997), 111–122
Citation in format AMSBIB
\Bibitem{CalGreMai96}
\by E.~Caliceti, V.~Grecchi, M.~Maioli
\paper Perturbation theory, Borel summability, and asymptotics
\jour Algebra i Analiz
\yr 1996
\vol 8
\issue 1
\pages 145--159
\mathnet{http://mi.mathnet.ru/aa634}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1392017}
\zmath{https://zbmath.org/?q=an:0866.35076|0849.35083}
\transl
\jour St. Petersburg Math. J.
\yr 1997
\vol 8
\issue 1
\pages 111--122
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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