ABOUT FINAL GROUPS OF TRANSFORMATIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE SECOND ORDER

Authors

  • Julka Knežević-Miljanović Slavonska 22-A, 11080 Beograd-Zemun, Jugoslavija Author

Abstract

In the given work, the final groups of transformations of the equations of a type

\[
y'' = \alpha x^n y^m y'^l \qquad (1)
\]

are considered allowing to divide a class of the equations (1) on not crossing final subclasses, inside which the solution of one representative of the given subclass guarantees to us the solutions of all other representatives of the same subclass with the help of known transformations.

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Published

2002-01-01

Issue

Vol. 26 (2002): 26 (LII) (2002)

Section

Articles

License

Copyright (c) 2002 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
J. Knežević-Miljanović, “ABOUT FINAL GROUPS OF TRANSFORMATIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE SECOND ORDER”, Mat. Bilt., vol. 26, no. 1, pp. 103–108, Jan. 2002, Accessed: Aug. 14, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1656