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Quarterly of Applied Mathematics
  
Online ISSN 1552-4485; Print ISSN 0033-569X		  

     

Generalization of Euler's equations

Author(s): Nail H. Ibragimov
Journal: Quart. Appl. Math. 67 (2009), 327-341.
MSC (2000): Primary 34A30
Posted: March 24, 2009
MathSciNet review: 2514638
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Abstract | References | Similar articles | Additional information

Abstract: A wide class of linear ordinary differential equations reducible to algebraic equations is studied. The method for solving all these equations is given. The new class depends essentially on two arbitrary functions and contains the constant coefficient equations and Euler's equations as particular cases.

References:

1.
N.H. Ibragimov, Elementary Lie group analysis and ordinary differential equations. John Wiley & Sons, Chichester, 1999. MR 1679646 (2000f:34007)

2.
N.H. Ibragimov, A practical course in differential equations and mathemtical modelling, 3rd ed. ALGA Publications, Karlskrona, 2006.

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Additional Information:

Nail H. Ibragimov
Affiliation: Department of Mathematics and Science, Research Centre ALGA: Advances in Lie Group Analysis, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
PII: S0033-569X-09-01126-3
Keywords: Equations reducible to algebraic equations, symmetries, solution method, Euler's equations
Received by editor(s): February 4, 2008
Posted: March 24, 2009
Copyright of article: Copyright 2009, Brown University



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