Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 148, Pages 130–135 (Mi into311)  
On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter

V. V. Shurygin (Jr.)

Kazan (Volga Region) Federal University
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Abstract: Necessary and sufficient conditions under which two Abel equations with coefficients depending on the control parameter are locally equivalent with respect to the same pseudogroup of feedback transformations are found and are formulated in terms of differential invariants.
Keywords: Abel equations, differential invariants, feedback transformation, control parameter.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 4, Pages 505–510
DOI: https://doi.org/10.1007/s10958-020-04891-1
Bibliographic databases:
Document Type: Article
UDC: 514.763.81
MSC: 53A55, 34C14
Language: Russian
Citation: V. V. Shurygin (Jr.), “On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter”, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148, VINITI, M., 2018, 130–135; J. Math. Sci. (N. Y.), 248:4 (2020), 505–510
Citation in format AMSBIB
\Bibitem{Shu18}
\by V.~V.~Shurygin (Jr.)
\paper On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter
\inbook Proceedings of the International Conference ``Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,'' Ryazan, September 15--18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 148
\pages 130--135
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into311}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847716}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 248
\issue 4
\pages 505--510
\crossref{https://doi.org/10.1007/s10958-020-04891-1}
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