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Volumn 12, Issue 8, 1999, Pages 85-89

An improvement to Darboux integrability theorem for systems having a center

Author keywords

Center problem; Integrability; Nonlinear differential equations

Indexed keywords


EID: 0041356976     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00127-5     Document Type: Article
Times cited : (9)

References (12)
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  • 2
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    • (1900) Second Internat. Congress Math. , pp. 253-297
    • Hilbert, D.1
  • 3
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    • Integrability and algebraic solutions for planar polynomial differential systems with emphasis on the quadratic systems
    • submitted
    • L. Cairó, M.R. Feix and J. Llibre, Integrability and algebraic solutions for planar polynomial differential systems with emphasis on the quadratic systems, Proceed, of the Royal London Society, (submitted).
    • Proceed, of the Royal London Society
    • Cairó, L.1    Feix, M.R.2    Llibre, J.3
  • 4
    • 84968514049 scopus 로고
    • Algebraic particular integrals, integrability and the problem of the center
    • D. Schlomiuk, Algebraic particular integrals, integrability and the problem of the center, Trans. Amer. Math. Soc. 338, 799-841, (1993).
    • (1993) Trans. Amer. Math. Soc. , vol.338 , pp. 799-841
    • Schlomiuk, D.1
  • 5
    • 0003269768 scopus 로고
    • Equations de pfaff algébriques
    • Springer-Verlag
    • J.P. Jouanolou, Equations de Pfaff algébriques, Lectures Notes in Mathematics, Vol. 708, Springer-Verlag, (1979).
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    • Jouanolou, J.P.1
  • 6
    • 1542795332 scopus 로고
    • Elementary first integrals of differential equations
    • M.J. Prelle and M.F. Singer, Elementary first integrals of differential equations, Trans. Amer. Math. Soc. 279, 215-229, (1983).
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    • Prelle, M.J.1    Singer, M.F.2
  • 7
    • 0001211523 scopus 로고    scopus 로고
    • Algebraic solutions for polynomial systems with emphasis in the quadratic case
    • J. Chavarriga, J. Llibre and J. Sotomayor, Algebraic solutions for polynomial systems with emphasis in the quadratic case, Expo. Math. 15, 161-173, (1997).
    • (1997) Expo. Math. , vol.15 , pp. 161-173
    • Chavarriga, J.1    Llibre, J.2    Sotomayor, J.3
  • 8
    • 85032069709 scopus 로고
    • Invariant algebraic curves and conditions for a center
    • C.J. Christopher, Invariant algebraic curves and conditions for a center, Proc. Roy. Soc. Edinburgh 124A, 1209-1229, (1994).
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  • 10
    • 0002342437 scopus 로고
    • Algebraic invariant curves and the integrability of polynomial systems
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  • 11
    • 0042658507 scopus 로고
    • Partial integrals and the first focal value in the problem of the centre
    • D. Cozma and A. Şuba, Partial integrals and the first focal value in the problem of the centre, NoDEA 2, 21-34, (1995).
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    • Cozma, D.1    Şuba, A.2
  • 12
    • 21744459818 scopus 로고    scopus 로고
    • Partial integrals, integrability, and the center problem
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.