Integrating factors and first integrals for ordinary differential equations

European Journal of Applied Mathematics

Volumn 9, Issue 3, 1998, Pages 245-259

  Anco, Stephen C ^a   Bluman, George ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542376099     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792598003477     Document Type: Article

References (10)

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2. ANCO, S. C. & BLUMAN, G. (1998) Direct construction algorithm for conservation laws of differential equations. Submitted.
3. BLUMAN, G. (1990) A reduction algorithm for an ordinary differential equation admitting a solvable Lie group. SIAM J. Appl. Math. 50, 1689-1705.
4. BLUMAN, G. & KUMEL, S. (1987) On invariance properties of the wave equation. J. Math. Phys. 28, 307-318.
5. GORDON, T. J. (1986) On the symmetries and invariants of the harmonic oscillator. J. Phys. A 19, 183-189.
6. LIE, S. (1874) Verhandlungen der Gesselschaft der Wissenschaften zu Christiania.
7. LIE, S. (1888) Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. Math. Ann. 32, 213-281.
8. MIMURA, F. & NÔNO, T. (1994) A new conservation law for a system of second-order differential equations. Bull. Kyushu Inst. Tech. 41, 1-10.
9. SARLET, W., CANTRIJN, F. & CRAMPIN, M. (1987) Pseudo-symmetries, Noether's theorem and the adjoint equations. J. Phys. A 20, 1365-1376.
10. SARLET, W., PRINCE, G. E. & CRAMPIN, M. (1990) Adjoint symmetries for time-independent second-order equations. J. Phys. A 23, 1335-1347.