Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms

Journal of Mathematical Physics

Volumn 46, Issue 6, 2005, Pages

  Gentile, Guido ^a   Bartuccelli, Michele V ^b   Deane, Jonathan H B ^b  

^a ROMA TRE UNIVERSITY   (Italy)

^b UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21844461565     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1926208     Document Type: Article

References (13)

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4. Berretti, A., Marmi, S., and Sauzin, D., " Limit at resonances of linearizations of some complex analytic dynamical systems., " Ergod. Theory Dyn. Syst. 20, 963-990 (2000).
5. Caliceti, E., Grecchi, V., and Maioli, M., " The distributional Borel summability and the large coupling Φ4 lattice fields., " Commun. Math. Phys. 0010-3616 10.1007/BF01210798 104, 163-174 (1986); Caliceti, E., Grecchi, V., and Maioli, M., " The distributional Borel summability and the large coupling Φ4 lattice fields., " Commun. Math. Phys. 113, 173(E)-176(E) (1987).
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10. Hardy, G. H., Divergent Series (Clarendon, Oxford, 1949).
11. Marmi, S. and Sauzin, D., " Quasianalytic monogenic solutions of a cohomological equation., " Mem. Am. Math. Soc. 164 vi+83 (2003).
12. Nevanlinna, F., " Zur Theorie der Asymptotischen Potenzreihen., " Ann. Acad. Sci. Fenn., Ser. A 12, 1-18 (1916).
13. Sokal, A. D., " An improvement of Watson's theorem on Borel summability., " J. Math. Phys. 21, 261-263 (1980).