Analysing the structure of the integrating factors for first-order ordinary differential equations with Liouvillian functions in the solution

Journal of Physics A: Mathematical and General

Volumn 35, Issue 4, 2002, Pages 1001-1006

  Duarte, L G S ^a   Duarte, S E S ^b   Da Mota, L A C P ^a  

^a STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b ESTÁCIO DE SÁ UNIVERSITY   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036477881     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/4/312     Document Type: Article

References (9)

1. Prelle M and Singer M 1983 Elementary first integral of differential equations Trans. Am. Math. Soc. 279 215
2. Davenport J H, Siret Y and Tournier E 1993 Computer Algebra: Systems and Algorithms for Algebraic Computation (London: Academic)
3. Shtokhamer R 1988 Solving first order differential equations using the Prelle-Singer algorithm University of Delaware Center for Mathematical Computation Technical Report 88-09
4. Collins C B 1993 Algebraic invariants curves of polynomial vector fields in the plane Preprint University of Waterloo Collins C B 1993 Quadratic vector fields possessing a centre Preprint University of Waterloo
5. Collins C B 1993 Algebraic invariants curves of polynomial vector fields in the plane Preprint University of Waterloo Collins C B 1993 Quadratic vector fields possessing a centre Preprint University of Waterloo
6. 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
7. 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
8. Duarte L G S, Duarte S E S and da Mota L A C P 2001 A method to tackle first-order ordinary differential equations with Liouvillian functions in the solution J. Phys. A: Math. Gen. submitted
9. Singer M 1992 Liouvillian first integrals Trans. Am. Math. Soc. 333