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Volumn 35, Issue 17, 2002, Pages 3899-3910

A method to tackle first-order ordinary differential equations with Liouvillian functions in the solution

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EID: 0037013160     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/17/306     Document Type: Article
Times cited : (21)

References (15)
  • 2
    • 0003339099 scopus 로고
    • Symmetries and differential equations
    • Berlin: Springer
    • Bluman G W and Kumei S 1989 Symmetries and Differential Equations (Applied Mathematical Science vol 81) (Berlin: Springer)
    • (1989) Applied Mathematical Science , vol.81
    • Bluman, G.W.1    Kumei, S.2
  • 6
    • 1542795332 scopus 로고
    • Elementary first integral of differential equations
    • Prelle M and Singer M 1983 Elementary first integral of differential equations. Trans. Am. Math. Soc. 279 215
    • (1983) Trans. Am. Math. Soc. , vol.279 , pp. 215
    • Prelle, M.1    Singer, M.2
  • 7
    • 0003971628 scopus 로고
    • Solving first order differential equations using the Prelle-Singer algorithm
    • Center for Mathematical Computation, University of Delaware
    • Shtokhamer R 1988 Solving first order differential equations using the Prelle-Singer algorithm Technical Report 88-09 Center for Mathematical Computation, University of Delaware
    • (1988) Technical Report , vol.88 , Issue.9
    • Shtokhamer, R.1
  • 9
    • 0042529622 scopus 로고
    • Preprint University of Waterloo, Canada
    • Collins C B 1993 Algebraic invariants curves of polynomial vector fields in the plane Preprint University of Waterloo, Canada Collins C B 1993 Quadratic vector fields possessing a centre Preprint University of Waterloo, Canada
    • (1993) Quadratic Vector Fields Possessing a Centre
    • Collins, C.B.1
  • 10
    • 0008454559 scopus 로고    scopus 로고
    • A rational approach to the Prelle-Singer algorithm
    • and references therein
    • Man Y K and MacCallum M A H 1996 A rational approach to the Prelle-Singer algorithm J. Symb. Comput. 11 1-11 and references therein
    • (1996) J. Symb. Comput. , vol.11 , pp. 1-11
    • Man, Y.K.1    Maccallum, M.A.H.2
  • 11
    • 0035853656 scopus 로고    scopus 로고
    • Solving second order ordinary differential equations by extending the Prelle-Singer method
    • Duarte L G S, Duarte S E S, da Mota L A C P and Skea J E F 2001 Solving second order ordinary differential equations by extending the Prelle-Singer method J. Phys. A: Math. Gen. 34 3015-24
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 3015-3024
    • Duarte, L.G.S.1    Duarte, S.E.S.2    Da Mota, L.A.C.P.3    Skea, J.E.F.4
  • 12
    • 84968484573 scopus 로고
    • Liouvillian first integrals
    • Singer M 1992 Liouvillian first integrals Trans. Am. Math. Soc. 333 673-88
    • (1992) Trans. Am. Math. Soc. , vol.333 , pp. 673-688
    • Singer, M.1
  • 15
    • 0036477881 scopus 로고    scopus 로고
    • Analysing the structure of the integrating factor for first order differential equations with Liouvillian functions in the solutions
    • Duarte L G S, Duarte S E S and da Mota L A C P 2002 Analysing the structure of the integrating factor for first order differential equations with Liouvillian functions in the solutions J. Phys. A: Math. Gen. 35 1001-6
    • (2002) J. Phys. A: Math. Gen. , vol.35 , pp. 1001-1006
    • Duarte, L.G.S.1    Duarte, S.E.S.2    Da Mota, L.A.C.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.