On first integrals of second-order ordinary differential equations

Author:

Meleshko S. V.,Moyo S.,Muriel C.,Romero J. L.,Guha P.,Choudhury A. G.

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Reference33 articles.

1. Lie S (1883) Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. III. Arch Matematik og Naturvidenskab 8(4):371–427. Reprinted in Lie’s Gessammelte Abhandlungen, 1924, vol 5, paper XIY, pp 362–427

2. Lie S (1891) Vorlesungen über Differentialgleichungen mit bekannten infinitesimalen Transformationen. Teubner, Leipzig, Bearbeitet und herausgegeben von Dr. G.Scheffers

3. Ibragimov NH, Meleshko SV (2007) Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II. Commun Nonlinear Sci Numer Simul 12: 1370–1378

4. Ibragimov NH, Meleshko SV (2008) Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. I. Commun Nonlinear Sci Numer Simul 13: 1015–1020

5. Meleshko SV (2006) To the equivalence problem of second-order ordinary differential equations. Abstract of presentation given at international conference in scientific computing: modelling, simulation and optimization of complex processes, Hanoi, Vietnam, 6th–10th March, 2006. Available online at http://hpsc.iwr.uni-heidelberg.de/HPSCHanoi2006/ . Accessed March 2011

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