Published online by Cambridge University Press: 05 July 2011
Ordinary differential equations
E. Kamke, Differentialgleichungen – Lösungsmethoden und Lösungen Bd. 1. Akademische Verlagsgesellschaft Geest u. Portig, Leipzig, 1951. (Reprinted, Chelsea, New York, 1959.)
E. L. Ince, Ordinary differential equations. Longmans, Green and Co., London, 1926. (Reprinted, Dover, New York, 1956.)
G. M. Murphy, Ordinary differential equations and their solutions. Van Nostrand, Princeton, 1960.
Group theory
L. P. Eisenhart, Continuous groups of transformations. Dover, New York, 1961.
R. Gilmore, Lie groups, Lie algebras and some of their applications. Wiley, New York, 1974.
B. G. Weybourne, Classical groups for physicists. Wiley, New York, 1974.
Symmetries of differential equations in general
S. Lie, Vorlesungen über Differentialgleichungen mit bekannten infinitesimalen Transformationen. Teubner, Leipzig, 1912.
L. V. Ovsiannikov, Group analysis of differential equations. Academic, New York, 1982.
N. H. Ibragimov, Transformation groups applied to mathematical physics. Reidel, Boston, 1985.
P. J. Olver, Application of Lie groups to differential equations (Graduate Texts in Mathematics 107). Springer, New York, 1986.
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