Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Generalization of Euler's equations

Author: Nail H. Ibragimov
Journal: Quart. Appl. Math. 67 (2009), 327-341
MSC (2000): Primary 34A30
DOI: https://doi.org/10.1090/S0033-569X-09-01126-3
Published electronically: March 24, 2009
MathSciNet review: 2514638
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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 [Enhancements On Off] (What's this?)

  • 1. Nail H. Ibragimov, Elementary Lie group analysis and ordinary differential equations, Wiley Series in Mathematical Methods in Practice, vol. 4, John Wiley & Sons, Ltd., Chichester, 1999. MR 1679646
  • 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

DOI: https://doi.org/10.1090/S0033-569X-09-01126-3
Keywords: Equations reducible to algebraic equations, symmetries, solution method, Euler's equations
Received by editor(s): February 4, 2008
Published electronically: March 24, 2009
Article copyright: © Copyright 2009 Brown University

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