Characterization of several classes of second-order ODEs by using differential invariants.
Martín del Rey, A., Muñoz Masqué, J. (2005)
International Journal of Mathematics and Mathematical Sciences
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Martín del Rey, A., Muñoz Masqué, J. (2005)
International Journal of Mathematics and Mathematical Sciences
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Chrastina, Jan
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Rosen, Gerald (1979)
International Journal of Mathematics and Mathematical Sciences
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V. Tryhuk (2008)
Czechoslovak Mathematical Journal
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In this article, the equivalence and symmetries of underdetermined differential equations and differential equations with deviations of the first order are considered with respect to the pseudogroup of transformations That means, the transformed unknown function is obtained by means of the change of the independent variable and subsequent multiplication by a nonvanishing factor. Instead of the common direct calculations, we use some more advanced tools from differential...
Wei, Yu Chuen (1985)
International Journal of Mathematics and Mathematical Sciences
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Jan Chrastina (2001)
Mathematica Bohemica
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Variational integrals containing several functions of one independent variable subjected moreover to an underdetermined system of ordinary differential equations (the Lagrange problem) are investigated within a survey of examples. More systematical discussion of two crucial examples from Part I with help of the methods of Parts II and III is performed not excluding certain instructive subcases to manifest the significant role of generalized Poincaré-Cartan forms without undetermined...