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Volumn 7, Issue 2, 2002, Pages 197-216

On the number of closed solutions for polynomial ode's and a special case of Hilbert's 16th problem

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EID: 4744371869     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (14)
  • 1
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    • A. Ambrosetti and G. Prodi, "A Primer in Nonlinear Analysis," Cambridge University Press, 1993.
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    • Ambrosetti, A.1    Prodi, G.2
  • 2
    • 1942513039 scopus 로고
    • Un rèsultat global de multiplicité pour un problème différentiel non linéaire du premier ordre
    • V. Cafagna and F. Donati, Un rèsultat global de multiplicité pour un problème différentiel non linéaire du premier ordre, C.R. Acad. Sci. Paris, Ser. I, Math., 300 (1985), 523-526.
    • (1985) C.R. Acad. Sci. Paris, Ser. I, Math. , vol.300 , pp. 523-526
    • Cafagna, V.1    Donati, F.2
  • 3
    • 0003742468 scopus 로고
    • Nonlinear Functional Analysis
    • Springer
    • K. Deimling, "Nonlinear Functional Analysis," Springer, 1985.
    • (1985)
    • Deimling, K.1
  • 4
    • 0003533276 scopus 로고
    • Introduction aux Fonctions Analysables et Preuve Constructive de la Conjecture de Dulac
    • Hermann, Paris
    • J. Écalle, "Introduction aux Fonctions Analysables et Preuve Constructive de la Conjecture de Dulac," Hermann, Paris, 1992.
    • (1992)
    • Écalle, J.1
  • 5
    • 0000128365 scopus 로고
    • Limit cycles of a class of Abel equations
    • A. Gasull and J. Llibre, Limit cycles of a class of Abel equations, SIAM J. Math. Anal., 21 (1990), 1235-1244.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1235-1244
    • Gasull, A.1    Llibre, J.2
  • 6
    • 0000832248 scopus 로고
    • Mathematical Problems
    • D. Hilbert, "Mathematical Problems," Bulletin AMS, 8, 1902.
    • (1902) Bulletin AMS , vol.8
    • Hilbert, D.1
  • 7
    • 0003278590 scopus 로고
    • Finiteness Theorems for Limit Cycles
    • Providence, RI
    • Yu. Ilyashenko, "Finiteness Theorems for Limit Cycles," Amer. Math. Soc., Providence, RI, 1991.
    • (1991) Amer. Math. Soc.
    • Ilyashenko, Y.1
  • 8
    • 0034216007 scopus 로고    scopus 로고
    • Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions
    • Yu. Ilyashenko, Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions, Nonlinearity, 13 (2000), 1337-1342.
    • (2000) Nonlinearity , vol.13 , pp. 1337-1342
    • Ilyashenko, Y.1
  • 10
    • 84894457958 scopus 로고
    • Topological Methods in the Theory of Nonlinear Integral Equations
    • M.A. Krasnosel'ski, "Topological Methods in the Theory of Nonlinear Integral Equations," Pergamon Press, 1963, 123-140.
    • (1963) Pergamon Press , pp. 123-140
    • Krasnosel'ski, M.A.1
  • 12
    • 34250258882 scopus 로고
    • i , 0 ≤ t ≤ 1, for which x(0) = x(1)
    • i , 0 ≤ t ≤ 1, for which x(0) = x(1), Inventiones Math., 59 (1980), 67-76.
    • (1980) Inventiones Math. , vol.59 , pp. 67-76
    • Neto, A.L.1
  • 13
    • 0009788840 scopus 로고    scopus 로고
    • Bounds on the number of solutions for elliptic problems with polynomial nonlinearities
    • B. Ruf, Bounds on the number of solutions for elliptic problems with polynomial nonlinearities, J. Diff. Equ., 151 (1999), 111-133.
    • (1999) J. Diff. Equ. , vol.151 , pp. 111-133
    • Ruf, B.1
  • 14
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    • On the number of solutions for the forced pendulum equation
    • G. Tarantello, On the number of solutions for the forced pendulum equation, J. Diff. Equ., 80 (1989), 79-93.
    • (1989) J. Diff. Equ. , vol.80 , pp. 79-93
    • Tarantello, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.