differential invariants; equivalence problem; pseudogroups of Lie; symmetries.
Main publications:
Yumaguzhin V. A. Contact classification of linear ordinary differential equations // Acta Applicandae Mathematicae, June 2002, v. 72, no. 2.
Gusyatnikova V. N., Yumaguzhin V. A. Contact transformations and local reducibility of ODE to the form $y'''=0$ // Acta Applicandae Mathematicae, May 1999, v. 56, no. 2–3, p. 155–179.
Yumaguzhin V. A. Classification of 3rd orderlinear ODE up to equivalence // Differential Geometry and its Applications, 1996, v. 6, no. 4, p. 343–350.
A. P. Mashtakov, V. A. Yumaguzhin, V. N. Yumaguzhina, “On solutions to Fokker–Planck equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 178 (2020), 102–111
2011
2.
V. A. Yumaguzhin, V. N. Yumaguzhina, “New torsion free explicit solutions of 2-dimensional gas dynamics equations”, Program Systems: Theory and Applications, 2:2 (2011), 89–95
2004
3.
V. A. Yumaguzhin, “Finite-type integrable geometric structures”, Fundam. Prikl. Mat., 10:1 (2004), 255–269; J. Math. Sci., 136:6 (2006), 4401–4410
V. A. Yumaguzhin, “Classification of Linear Ordinary Differential Equations: II”, Differ. Uravn., 38:12 (2002), 1627–1632; Differ. Equ., 38:12 (2002), 1724–1730
V. A. Yumaguzhin, “The Classification of Linear Ordinary Differential Equations: I”, Differ. Uravn., 38:8 (2002), 1063–1070; Differ. Equ., 38:8 (2002), 1132–1139
V. N. Gusyatnikova, V. A. Yumaguzhin, “Point transformations and linearizability of second-order ordinary differential equations”, Mat. Zametki, 49:1 (1991), 146–148; Math. Notes, 49:1 (1991), 103–105
A. M. Vinogradov, V. A. Yumaguzhin, “Differential invariants of webs on 2-dimensional manifolds”, Mat. Zametki, 48:1 (1990), 26–37; Math. Notes, 48:1 (1990), 639–647
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