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Volumn 108, Issue 2, 1996, Pages 203-218

Multiplicity of the solutions of a differential polynomial

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EID: 0030597701     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-4049(95)00045-3     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 0000662066 scopus 로고
    • An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
    • [1] J. Cano, An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms, Annales de L'Institut Fourier, Grenoble 43(1) (1989) 125-142.
    • (1989) Annales de l'Institut Fourier, Grenoble , vol.43 , Issue.1 , pp. 125-142
    • Cano, J.1
  • 3
    • 0000757245 scopus 로고
    • On the series defined by differential equations, with an extension of the Puiseux polygon construction to these equations
    • [3] J. Cano, On the series defined by differential equations, with an extension of the Puiseux polygon construction to these equations, Internat. J. Anal. Appl. 13 (1993) 103-119.
    • (1993) Internat. J. Anal. Appl. , vol.13 , pp. 103-119
    • Cano, J.1
  • 7
    • 0011399492 scopus 로고
    • On the functions defined by differential equations, with an extension of the Puiseux polygon construction to these equations
    • [7] H.B. Fine, On the functions defined by differential equations, with an extension of the Puiseux polygon construction to these equations, Amer. J. Math. XI (1889) 317-328.
    • (1889) Amer. J. Math. , vol.11 , pp. 317-328
    • Fine, H.B.1
  • 8
    • 0011493317 scopus 로고
    • Singular solutions of ordinary differential equations
    • [8] H.B. Fine, Singular solutions of ordinary differential equations, Amer. J. Math. XII (1890) 295-322.
    • (1890) Amer. J. Math. , vol.12 , pp. 295-322
    • Fine, H.B.1
  • 10
  • 11
    • 0011444770 scopus 로고
    • On formal power series as integrals of algebraic differential equations
    • [11] K. Mahler, On formal power series as integrals of algebraic differential equations, Lincei-Rend. Sc. fis. mat. e nat. L (1971) 76-89.
    • (1971) Lincei-Rend. Sc. Fis. Mat. e Nat. , vol.50 , pp. 76-89
    • Mahler, K.1
  • 12
    • 0003247880 scopus 로고
    • Differential equations from the algebraic standpoint
    • New York
    • [12] J.F. Ritt, Differential equations from the algebraic standpoint, Amer. Math. Soc. Colloquium Publications, Vol. 14 (New York, 1932).
    • (1932) Amer. Math. Soc. Colloquium Publications , vol.14
    • Ritt, J.F.1
  • 14
    • 0011399161 scopus 로고
    • Solving ordinary differential equations in terms of series with real exponents
    • [14] M.F. Singer, D.Y. Grigorev, 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
    • Singer, M.F.1    Grigorev, D.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.