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Volumn 34, Issue 14, 2001, Pages 3015-3024

Solving second-order ordinary differential equations by extending the Prelle-Singer method

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EID: 0035853656     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/14/308     Document Type: Article
Times cited : (82)

References (18)
  • 9
    • 1542795332 scopus 로고
    • Elementary first integrals of differential equations
    • Prelle M and Singer M 1983 Elementary first integrals of differential equations Trans. Am. Math. Soc. 279 215-29
    • (1983) Trans. Am. Math. Soc. , vol.279 , pp. 215-229
    • Prelle, M.1    Singer, M.2
  • 10
    • 84951900479 scopus 로고
    • The problem of integration in finite terms
    • Risch R H 1969 The problem of integration in finite terms Trans. Am. Math. Soc. 139 167-89
    • (1969) Trans. Am. Math. Soc. , vol.139 , pp. 167-189
    • Risch, R.H.1
  • 11
    • 0000977295 scopus 로고
    • Computing closed form solutions of first-order ODEs using the Prelle-Singer procedure
    • Man Y K 1993 Computing closed form solutions of first-order ODEs using the Prelle-Singer procedure J. Symb. Comput. 16 423-43
    • (1993) J. Symb. Comput. , vol.16 , pp. 423-443
    • Man, Y.K.1
  • 13
    • 0013118628 scopus 로고
    • Formal solutions of differential equations
    • Singer M 1990 Formal solutions of differential equations J. Symb. Comput. 10 59-94
    • (1990) J. Symb. Comput. , vol.10 , pp. 59-94
    • Singer, M.1
  • 14
    • 84968484573 scopus 로고
    • Liouvillian first integrals of differential equations
    • Singer M 1992 Liouvillian first integrals of differential equations Trans. Am. Math. Soc. 333 673-88
    • (1992) Trans. Am. Math. Soc. , vol.333 , pp. 673-688
    • Singer, M.1
  • 15
    • 36149035519 scopus 로고
    • First integrals of autonomous systems of differential equations and the Prelle-Singer procedure
    • Man Y K 1994 First integrals of autonomous systems of differential equations and the Prelle-Singer procedure J. Phys. A: Math. Gen. 27 L329-32
    • (1994) J. Phys. A: Math. Gen. , vol.27
    • Man, Y.K.1
  • 16
    • 0008454559 scopus 로고    scopus 로고
    • A rational approach to the Prelle-Singer algorithm
    • Man Y K and MacCallum M A H 1996 A rational approach to the Prelle-Singer algorithm J. Symb. Comput. 11 1-11
    • (1996) J. Symb. Comput. , vol.11 , pp. 1-11
    • Man, Y.K.1    MacCallum, M.A.H.2
  • 17
    • 0000307808 scopus 로고
    • A relativistic fluid sphere resembling the Emden polytrope of index 5
    • Buchdahl H A 1964 A relativistic fluid sphere resembling the Emden polytrope of index 5 Ap. J. 140 1512-6
    • (1964) Ap. J. , vol.140 , pp. 1512-1516
    • Buchdahl, H.A.1
  • 18
    • 0001473627 scopus 로고
    • General relativistic fluid spheres III. A static gaseous model
    • Buchdahl H A 1967 General relativistic fluid spheres III. A static gaseous model Ap. J. 147 310-6
    • (1967) Ap. J. , vol.147 , pp. 310-316
    • Buchdahl, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.