Valeriy A.Yumaguzhin

LIST OF PUBLICATIONS

41. V.A. Yumaguzhin, V.N. Yumaguzhina, Explicit torsion free solutions of 2-dimensional gas dynamics equations,
Program systems: theory and applications, No 2(6), 2011, pp. 89-95.
40. V. Yumaguzhin, Differential invariants of 2-order ODEs, I,
Acta Applicandae Mathematicae, (2010), Vol. 109, No. 1, pp. 283-313.
39. V.Lychagin, V.Yumaguzhin, Minkowski metrics on solutions of the equation of nonstationary transonic gas flow,
Proc. International Geometric Center, (2009), Vol. 21, pp. 27-34.
38. V.Lychagin, V.Yumaguzhin, On geometric structures of 2-dimensional gas dynamics equations,
Lobachevskii Journal of Mathematics, 2009, Vol. 30, No. 4, pp. 327-332.
37. V.Lychagin, V.Yumaguzhin, Minkowski metrics on solutions of the Khokhlov-Zabolotskaya equation,
Lobachevskii Journal of Mathematics, 2009, Vol. 30, No. 4, pp. 333-336.
36. V.A.Yumaguzhin, V.N.Yumaguzhina Scalar differential invariants of equations
y''=a(x,y)y' 3+b(x,y)y' 2+c(x,y)y'+d(x,y),
Proc. of International Conference "Program systems: theory and applications",
Pereslavl-Zalessky, Russia, May, 2009, Vol. 1, pp. 105-121
35. Valeriy A. Yumaguzhin, On the obstruction to integrability of almost-complex structures,
Abstr., PDF
e-print: arXiv:0804.0690v1
34. Valeriy A. Yumaguzhin, Differential invariants of 2-order ODEs, I. ,
Abstr., PDF
e-print: arXiv.org: 0804.0674
33. M.Marvan, A.M.Vinogradov, V.A.Yumaguzhin, Differential invariants of generic hyperbolic Monge--Ampere equations,
Central European Journal of Mathematics, 5(1) 2007 105-133.
Abstr., PDF
e-print: http://lanl.arxiv.org/abs/nlin/0604038
32. V.A.Yumaguzhin, V.N.Yumaguzhina The algorithm of calculation of isotropy algebras of equations
y''=a(x,y)y' 3+b(x,y)y' 2+c(x,y)y'+d(x,y),
Proc. of International Conference "Program systems: theory and applications",
Pereslavl-Zalessky, Russia, October, 2006, Nauka-Fizmatlit M. Vol. 2, pp. 365-377
Abstr., PDF in Russian
31. V.A.Yumaguzhin, REDUCE--code to calculate differential invariants of hyperbolic Monge-Ampere equations,
Proc. of International Conference "Program systems: theory and applications",
Pereslavl-Zalessky, Russia, October, 2006, Nauka-Fizmatlit M. Vol. 2, pp. 353-363
Abstr., PDF in Russian
30. A.M.Vinogradov, M.Marvan, V.A.Yumaguzhin, Differential invariants of generic hyperbolic Monge--Ampere equations,
Russian Acad. Sci. Dokl. Math. Vol. 405, No. 3, 2005, pp. 299-301.
(in Russian, English translation in: Doklady Mathematics, Vol. 72, No. 3, 2005, pp. 883-885)
Abstr., PostScript.
29. Michal Marvan, Alexandre M.Vinogradov, Valeriy A.Yumaguzhin, Scalar differential invariants of Monge--Ampere equations,
Preprint GA 6/2004, Mathematical Institute Silesian University in Opava, Czech Republic, December 2004, pp. 23
Abstr., PDF.
28. V.A.Yumaguzhin, V.N.Yumaguzhina, Finite-type integrable structures,
Proc. of International Conference "Program systems: theory and applications",
Pereslavl-Zalessky, Russia, May, 2004, Vol. 2, pp. 409-422
27. V.A.Yumaguzhin, Finite-type integrable structures,
Fundamental and Applied Mathematics, Vol. 10, No. 3-4, 2004, pp.255-269.
(in Russian, English translation in Journal of Mathematical Sciences, Vol.136, No. 6, 2006, pp.4401-4410 (Kluwer/Plenum))
Abstr., PostScript.
26. V.A.Yumaguzhin, On the obstruction to linearizability of 2-order ordinary differential equations,
Acta Applicandae Mathematicae, Vol. 83, No. 1-2, 2004. pp.133-148.
Abstr., PostScript
e-print: arXiv.org: 0804.0306
25. V.A.Yumaguzhin, Classification of linear ordinary differential equations II,
Differentsial'niye Uravneniya, Vol.38, No.12, 2002, pp.1627-1632
(in Russian, English translation in Differential Equation, Vol.38, No.12, 2002.)
Abstr., PostScript in Russian.
24. V.A.Yumaguzhin, Classification of linear ordinary differential equations I,
Differentsial'niye uravneniya, Vol.38, No.8, 2002. pp.1063-1070
(in Russian, English translation in Differential Equations, Vol.38, No.8, 2002, pp.1132-1139.)
Abstr., PostScript in Russian.
23. V.A.Yumaguzhin, Contact classification of linear ordinary differential equations. I.,
Acta Applicandae Mathematicae, Vol. 72, No. 1/2, June 2002, pp. 155-181.
Abstr., PostScript
22. V.A.Yumaguzhin, Local classification of linear ordinary differential equations,
Russian Acad. Sci. Dokl. Math., Vol. 377 (2001), No 5, pp.605 -- 607.
(in Russian, English translation in: Doklady Mathematics, Vol. 63, No. 2, 2001, p. 241.)
Abstr., PostScript in Russian.
21. V.A.Yumaguzhin, Contact classification of linear ordinary differential equations. II.,
The Diffiety Inst. Preprint Series, DIPS 5/2001, April 12, 2001, 31 pp.
Abstr., PostScript.
20. V.A.Yumaguzhin, Contact classification of linear ordinary differential equations. I.,
The Diffiety Inst. Preprint Series, DIPS 3/2001, April 2, 2001, 26 pp.
Abstr., PostScript
19. V.N.Gusyatnikova, V.A.Yumaguzhin, Contact transformations and local reducibility of ODEs to the form y'''=0,
Acta Applicandae Mathematicae, 1999, Vol. 56, No. 2 & 3, pp. 155 - 179.
Abstr., PostScript
18. V.A.Yumaguzhin, Differential invariants, webs and ordinary differential equations,
Proc. of III International Workshop on Differential Inclusions and Control, Pereslavl-Zalessky, Russia, 1998, pp. 49 - 52.
17. V.N.Gusyatnikova, V.A.Yumaguzhin, Contact transformations and local reducibility of ODEs to the form y'''=0,
Proc. of The International Conference on Secondary Calculus and Cohomological Physics, 24 - 31 August, 1997, Moscow, Russia
PostScript, DVI on the EMIS WWW-server.
16. V.A.Yumaguzhin, Contact classification of 3-order linear ODEs,
The Diffiety Inst. Preprint Series, DIPS 2/97, 1997, 20 pp.
Abstr., PostScript
15. V.A.Yumaguzhin, Classification of 3-rd order linear ODEs up to equivalence,
Differential Geometry and its Applications, 1996, Vol. 6, No. 4, pp. 343 - 350.
14. V.A.Yumaguzhin, Point transformations and classification of 3-order linear ODEs,
Russian Journal of Mathematical Physics, 1996, Vol. 4, No. 3, pp. 403 - 410.
13. V.N.Gusyatnikova, V.A.Yumaguzhin, Aplication of computer algebra methods to linearisation problem for ODEs,
Proc. of International Workshop on New Computer Technologies and Control Systems, 13 - 19 August, Pereslavl-Zalessky, Russia, 1995, pp. 65 - 67.
12. V.N.Gusyatnikova, V.A.Yumaguzhin, The equivalence problem for linear ODEs,
Theoretical and applied aspects of program systems, Program System Institute of RAN, Pereslavl-Zalessky, pp. 423 - 433, 1994.
11. V.N.Gusyatnikova, V.A.Yumaguzhin, Point transformations and linearisation of 2-order ordinary differential equations,
Mat. Zametki Vol. 49, No. 1, pp. 146 - 148, 1991 (in Russian, English translation in: Soviet Mat. Zametki).
10. A.M.Vinogradov, V.A.Yumaguzhin, Differential invariants of webs on 2-dimensional manifolds,
Mat. Zametki Vol. 48, No. 1, pp. 46 - 68, 1990 (in Russian, English translationin: Soviet Mat. Zametki).
9. V.N.Gusyatnikova, A.V.Samokhin, V.S.Titov, A.M.Vinogradov, V.A.Yumaguzhin. Symmetries and conservation laws of Kadomtsev-Pogutse equations,
Acta Applicandae Mathematicae, 1989, Vol. 15, pp. 23 - 64.
8. V.N.Gusyatnikova, V.A.Yumaguzhin, Symmetries and conservation laws of Navier-Stokes equations,
Acta Applicandae Mathematicae, 1989, Vol. 15, pp. 65 - 81.
7. V.N.Gusyatnikova, V.A.Yumaguzhin. Symmetries and conservation laws of Navier-Stokes equations,
Preprint N 678 B 87, pp. 21 Dep. -- Ì. VINITI, 1987 (in Russian).
6. V.N.Gusyatnikova, A.M.Vinogradov, V.A.Yumaguzhin, Secondary differential operators,
Journ. Geometry and Phyzics, 1985, Vol. 2, No. 2, pp. 23 – 65.
5. V.N.Gusyatnikova, A.M.Vinogradov, V.A.Yumaguzhin, Secondary differential operators,
Dokl. AN SSSR Vol. 283, No. 4, pp.801-805, 1985 (in Russian, English translation in: Soviet Math. Dokl. Vol. 32 (1985), No.1, pp.198-202).
4. V.À.Yumaguzhin, Local equivalence of G - structuries with constant structurial functions,
Proc. of VIII SU conference on modern problems of differential geometry, Odessa, 1984, p.181 (in Russian).
3. V.À.Yumaguzhin, G - structuries with constant structurial functions,
Differential Geometry, No 3, Mezhvuzovskij nauchnij sbornik, Saratov State University, 1977, pp. 82-104 (in Russian).
2. V.À.Yumaguzhin, Formal flat G - structuries,
Proc.of SU conference on non-Euclidian geometry "150 years of Lobachevsky geometry", Kazan, 1976, p.220 (in Russian).
1. V.À.Yumaguzhin, Prolongations of G - structuries,
Differential Geometry, No 2, Mezhvuzovskij nauchnij sbornik, Saratov State University, 1975, pp. 77-87 (in Russian).
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