Geodesic
On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 130-135

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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.
Mots-clés : Abel equations
Keywords: differential invariants, feedback transformation, control parameter. 
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     author = {V. V. Shurygin (Jr.)},
     title = {On the {Equivalence} of {First-Order} {Abel} {Equations} with {Coefficients} {Depending} on the {Control} {Parameter}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {130--135},
     publisher = {mathdoc},
     volume = {148},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_148_a15/}
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V. V. Shurygin (Jr.). On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 130-135. http://geodesic.mathdoc.fr/item/INTO_2018_148_a15/