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Volumn 197, Issue 1-3, 2005, Pages 83-139

Liouville closed H-fields

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EID: 14744301922     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jpaa.2004.08.009     Document Type: Article
Times cited : (23)

References (29)
  • 2
    • 14744287443 scopus 로고    scopus 로고
    • H-fields and their Liouville extensions
    • M. Aschenbrenner L. van den Dries H-fields and their Liouville extensions Math. Z. 242 2002 543-588
    • (2002) Math. Z. , vol.242 , pp. 543-588
    • Aschenbrenner, M.1    van den Dries, L.2
  • 5
    • 0039292587 scopus 로고
    • Mémoire sur les séries divergentes
    • É. Borel Mémoire sur les séries divergentes Ann. Sci. École Norm. Sup. 16 1899 9-131
    • (1899) Ann. Sci. École Norm. Sup. , vol.16 , pp. 9-131
    • Borel, É.1
  • 6
    • 51249180049 scopus 로고
    • New "orders of infinity"
    • M. Boshernitzan New "orders of infinity" J. Analyse Math. 41 1982 130-167
    • (1982) J. Analyse Math. , vol.41 , pp. 130-167
    • Boshernitzan, M.1
  • 7
    • 0003905302 scopus 로고
    • Appendice Corps de Hardy, Fonctions (H), Hermann, Paris (Chapitre V)
    • N. Bourbaki, Fonctions d'une Variable Réelle, Appendice Corps de Hardy, Fonctions (H), Hermann, Paris, (1976) (Chapitre V).
    • (1976) Fonctions D'une Variable Réelle
    • Bourbaki, N.1
  • 8
    • 0002507070 scopus 로고
    • Valued vector spaces of countable dimension
    • R. Brown Valued vector spaces of countable dimension Publ. Math. Debrecen 18 1971 149-151
    • (1971) Publ. Math. Debrecen , vol.18 , pp. 149-151
    • Brown, R.1
  • 10
    • 14744297060 scopus 로고    scopus 로고
    • An intermediate value property for first-order differential polynomials
    • L. van den Dries An intermediate value property for first-order differential polynomials Quaderni Mat. 6 2000 95-105
    • (2000) Quaderni Mat. , vol.6 , pp. 95-105
    • van den Dries, L.1
  • 13
    • 0003533276 scopus 로고
    • Introduction aux Fonctions Analysables et Preuve Constructive de la Conjecture de Dulac
    • Actualités Mathématiques, Hermann, Paris
    • J. Écalle, Introduction aux Fonctions Analysables et Preuve Constructive de la Conjecture de Dulac, Actualités Mathématiques, Hermann, Paris, 1992.
    • (1992)
    • Écalle, J.1
  • 14
    • 0011399161 scopus 로고
    • Solving ordinary differential equations in terms of series with real exponents
    • D. Grigor'ev M. Singer Solving ordinary differential equations in terms of series with real exponents Trans. Amer. Math. Soc. 327 1 1991 329-351
    • (1991) Trans. Amer. Math. Soc. , vol.327 , Issue.1 , pp. 329-351
    • Grigor'ev, D.1    Singer, M.2
  • 15
    • 84960578169 scopus 로고
    • Some results concerning the behaviour at infinity of a real and continuous solution of an algebraic differential equation of the first order
    • G. Hardy Some results concerning the behaviour at infinity of a real and continuous solution of an algebraic differential equation of the first order Proc. London Math. Soc. 10 1912 451-468
    • (1912) Proc. London Math. Soc. , vol.10 , pp. 451-468
    • Hardy, G.1
  • 17
    • 14744303449 scopus 로고    scopus 로고
    • A differential intermediate value theorem
    • B.L.J. Braaksma G.K. Immink M. van der Put J. Top (Eds.) World Scientific Publishing Co., Inc. River Edge, NJ
    • J. van der Hoeven A differential intermediate value theorem. In: B.L.J. Braaksma G.K. Immink M. van der Put J. Top (Eds.) Differential Equations and the Stokes Phenomenon 2002 World Scientific Publishing Co., Inc. River Edge, NJ 147-170
    • (2002) Differential Equations and the Stokes Phenomenon , pp. 147-170
    • van der Hoeven, J.1
  • 18
    • 84968487228 scopus 로고
    • Rational approximation to solutions of algebraic differential equations
    • E. Kolchin Rational approximation to solutions of algebraic differential equations Proc. Amer. Math. Soc. 10 1959 238-244
    • (1959) Proc. Amer. Math. Soc. , vol.10 , pp. 238-244
    • Kolchin, E.1
  • 19
    • 79959511495 scopus 로고    scopus 로고
    • Maps on ultrametric spaces, Hensel's Lemma, and differential equations over valued fields
    • to appear
    • F.-V. Kuhlmann, Maps on ultrametric spaces, Hensel's Lemma, and differential equations over valued fields, Comm. Algebra, to appear.
    • Comm. Algebra
    • Kuhlmann, F.-V.1
  • 24
    • 84972510823 scopus 로고
    • Differential valuations
    • M. Rosenlicht Differential valuations Pacific J. Math. 86 1980 301-319
    • (1980) Pacific J. Math. , vol.86 , pp. 301-319
    • Rosenlicht, M.1
  • 25
    • 0002413196 scopus 로고
    • On the value group of a differential valuation, II
    • M. Rosenlicht On the value group of a differential valuation, II Amer. J. Math. 103 1981 977-996
    • (1981) Amer. J. Math. , vol.103 , pp. 977-996
    • Rosenlicht, M.1
  • 28
    • 0001057265 scopus 로고
    • Rank change on adjoining real powers to Hardy fields
    • M. Rosenlicht Rank change on adjoining real powers to Hardy fields Trans. Amer. Math. Soc. 284 1984 829-836
    • (1984) Trans. Amer. Math. Soc. , vol.284 , pp. 829-836
    • Rosenlicht, M.1
  • 29
    • 14744299786 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of differential equations and Hardy fields: Preliminary report
    • unpublished
    • M. Singer, Asymptotic behavior of solutions of differential equations and Hardy fields: Preliminary report, unpublished.
    • Singer, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.