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Volumn 11, Issue 2, 2000, Pages 239-254

Around Jouanolou non-integrability theorem

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EID: 0034717350     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(00)89081-3     Document Type: Article
Times cited : (26)

References (14)
  • 1
    • 0001799499 scopus 로고
    • Ten problems in theory of singularities and its applications
    • V.I. Arnold editor, AMS
    • 1. Arnold. V.I. - Ten problems in Theory of Singularities and its applications. V.I. Arnold editor, Advances in Soviet Mathematics Vol 1 AMS, 1-8 (1990).
    • (1990) Advances in Soviet Mathematics , vol.1 , pp. 1-8
    • Arnold, V.I.1
  • 3
    • 0000082557 scopus 로고
    • Holomorphic foliations in ℂP(2) having an invariant algebraic curve
    • 3. Cerveau, D. and A. Lins-Neto - Holomorphic foliations in ℂP(2) having an invariant algebraic curve. Ann. Inst. Fourier 41 (4), 883-903 (1991).
    • (1991) Ann. Inst. Fourier , vol.41 , Issue.4 , pp. 883-903
    • Cerveau, D.1    Lins-Neto, A.2
  • 4
    • 0003269768 scopus 로고
    • Equations de Pfaff algébriques
    • Springer-Verlag, Berlin
    • 4. Jouanolou, J.-P. - Equations de Pfaff algébriques. Lect. Notes in Math. 708, Springer-Verlag, Berlin (1979).
    • (1979) Lect. Notes in Math. , vol.708
    • Jouanolou, J.-P.1
  • 5
    • 0002408765 scopus 로고
    • On the question of the simplest form of a system of ordinary differential equations
    • in Russian
    • 5. Lagutinskii, M.N. - On the question of the simplest form of a system of ordinary differential equations. Mat. Sb. 27, in Russian, 420-423 (1911).
    • (1911) Mat. Sb. , vol.27 , pp. 420-423
    • Lagutinskii, M.N.1
  • 6
    • 0009106113 scopus 로고
    • Algebraic solutions of polynomial differential equations and foliations in dimension two
    • Springer-Verlag, Berlin
    • 6. Lins-Neto, A. - Algebraic solutions of polynomial differential equations and foliations in dimension two. In 'Holomorphic dynamics', Lect. Notes in Math. 1345. Springer-Verlag, Berlin, 193-232 (1988).
    • (1988) 'Holomorphic Dynamics', Lect. Notes in Math. , vol.1345 , pp. 193-232
    • Lins-Neto, A.1
  • 7
    • 0001717346 scopus 로고    scopus 로고
    • Liouvillian first integrals of homogeneous polynomial vector fields
    • 7. Moulin Ollagnier, J. - Liouvillian first integrals of homogeneous polynomial vector fields. Colloquium Mathematicum LXX, 195-217 (1996).
    • (1996) Colloquium Mathematicum , vol.70 , pp. 195-217
    • Moulin Ollagnier, J.1
  • 8
    • 0001693497 scopus 로고    scopus 로고
    • Polynomial first integrals of the Lotka-Volterra system
    • 8. Moulin Ollagnier. J. - Polynomial first integrals of the Lotka-Volterra system. Bull. Sci. math. 121, 463-476 (1997).
    • (1997) Bull. Sci. Math. , vol.121 , pp. 463-476
    • Moulin Ollagnier, J.1
  • 9
    • 0033209543 scopus 로고    scopus 로고
    • Rational integration of the Lotka-Volterra system
    • 9. Moulin Ollagnier, J. - Rational Integration of the Lotka-Volterra system. Bull. Sci. math. 123, 437-466 (1999).
    • (1999) Bull. Sci. Math. , vol.123 , pp. 437-466
    • Moulin Ollagnier, J.1
  • 10
    • 0003081787 scopus 로고
    • On the non-existence of constants of derivations: The proof of a theorem of Jouanolou and it development
    • 10. Moulin Ollagnier, J., A. Nowicki and J.-M. Strelcyn - On the non-existence of constants of derivations: the proof of a theorem of Jouanolou and it development. Bull. Sci. math. 119, 195-233 (1995).
    • (1995) Bull. Sci. Math. , vol.119 , pp. 195-233
    • Moulin Ollagnier, J.1    Nowicki, A.2    Strelcyn, J.-M.3
  • 13
    • 0002086596 scopus 로고
    • On algebraic solutions of algebraic Pfaff equations
    • 13. Żoła̧dek, H. - On algebraic solutions of algebraic Pfaff equations. Studia Math. 114, 117-126 (1995).
    • (1995) Studia Math. , vol.114 , pp. 117-126
    • Zoła̧dek, H.1
  • 14
    • 0002408767 scopus 로고    scopus 로고
    • New examples of holomorphic foliations without algebraic leaves
    • 14. Żoła̧dek, H. - New examples of holomorphic foliations without algebraic leaves. Studia Math. 131 (2), 137-142 (1998).
    • (1998) Studia Math. , vol.131 , Issue.2 , pp. 137-142
    • Zoła̧dek, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.