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Volumn 9, Issue 1-2, 1998, Pages 51-65

About Algebraic Integrability and Non-integrability of Ordinary Differential Equations

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; CHAOS THEORY; MATHEMATICAL TECHNIQUES;

EID: 0031703915     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00048-9     Document Type: Article
Times cited : (8)

References (18)
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    • Darboux, G. Mémoire sur les équations différentielles algèriques du premier ordre et du premier degré, Bull. Sci. Math. 2ème sér., 1878, 2, 60-200.
    • (1878) Bull. Sci. Math. 2ème Sér. , vol.2 , pp. 60-200
    • Darboux, G.1
  • 3
    • 0346014889 scopus 로고    scopus 로고
    • Mikhail Nikolaevich Lagutinskii (1871-1915), un mathématicien méconnu
    • in press
    • Dobrovol'skii, V. A., Lokot', N. V. and Strelcyn, J.-M. Mikhail Nikolaevich Lagutinskii (1871-1915), un mathématicien méconnu. Historia Math., 1997, in press.
    • (1997) Historia Math.
    • Dobrovok'skii, V.A.1    Lokot', N.V.2    Strelcyn, J.-M.3
  • 6
    • 0001348004 scopus 로고
    • Sur un système d'equations différentielles
    • Halphen, G.-H. Sur un système d'equations différentielles. C.R. Acad. Sci., 1881, 92, 1101-1103.
    • (1881) C.R. Acad. Sci. , vol.92 , pp. 1101-1103
    • Halphen, G.-H.1
  • 7
    • 0001348003 scopus 로고
    • Sur certains systèmes d'equations différentielles
    • Halphen, G.-H Sur certains systèmes d'equations différentielles. C.R. Acad. Sci., 1881, 92, 1404-1407.
    • (1881) C.R. Acad. Sci. , vol.92 , pp. 1404-1407
    • Halphen, G.-H.1
  • 8
    • 0347906245 scopus 로고
    • On solutions of a system of three differential equations with quadratic inequalities
    • Gromak, V. I. and Cegelnik, V. V. On solutions of a system of three differential equations with quadratic inequalities. Differentsial'nye Uravneniya, 1991, 27 3, 396-402.
    • (1991) Differentsial'nye Uravneniya , vol.27 , Issue.3 , pp. 396-402
    • Gromak, V.I.1    Cegelnik, V.V.2
  • 11
    • 0346014851 scopus 로고
    • Application of the polar operations to integration of ordinary differential equations in the finite form
    • in Russian
    • Lagutinskii, M. N. Application of the polar operations to integration of ordinary differential equations in the finite form. Soobshch. Kharkov. Mat. Obshch, ser. 2, 1911, XII, 111-243, in Russian.
    • (1911) Soobshch. Kharkov. Mat. Obshch, Ser. 2 , vol.12 , pp. 111-243
    • Lagutinskii, M.N.1
  • 13
    • 0013249979 scopus 로고
    • On algebraic non-integrability of the Halphen system
    • Maciejewski, A. J. and Strelcyn, J.M. On algebraic non-integrability of the Halphen system. Phys. Lett. A, 1995, 201, 161-166.
    • (1995) Phys. Lett. A , vol.201 , pp. 161-166
    • Maciejewski, A.J.1    Strelcyn, J.M.2
  • 14
    • 0003081787 scopus 로고
    • On the non-existence of constants of derivations: The proof of a theorem of Jouanolou and its development
    • no. 3
    • Moulin-Ollagnier, J., Nowicki, A. and Strelcyn, J.-M. On the non-existence of constants of derivations: the proof of a theorem of Jouanolou and its development. Bull. Sci. Math., 1995, 119 2, 195-233, no. 3.
    • (1995) Bull. Sci. Math. , vol.119 , Issue.2 , pp. 195-233
    • Moulin-Ollagnier, J.1    Nowicki, A.2    Strelcyn, J.-M.3
  • 16
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    • On the non-existence of rational first integrals for system of linear differential equations
    • Nowicki, A. On the non-existence of rational first integrals for system of linear differential equations. Linear Algebra Appl., 1996, 235, 107-120.
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    • Nowicki, A.1
  • 17
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    • Differential relations of theta functions
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    • New method for finding integrals for 3-dimensional dynamical systems
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.