Valeriy A.Yumaguzhin

LIST OF PUBLICATIONS

60. А. П. Маштаков, В. А. Юмагужин, В. Н. Юмагужина, О решениях уравнений Фоккера—Планка,
Оптимальное управление, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 178, ВИНИТИ РАН, М., 2020, 102–111.
DOI: https://doi.org/10.36535/0233-6723-2020-178-102-111
59. Valentin Lychagin, Valeriy Yumaguzhin, Invariants of forth order linear differential operators,
Lobachevskii Journal of Mathematics, 2020, Vol. 41, No. 12, pp. 2473–2481.
arXiv:2004.11905v1 [math. DG] 24 Apr 2020.
58. Valentin Lychagin, Valeriy Yumaguzhin, On structure of linear differential operators, acting in line bundles,
Journal of Geometry and Physics, Vol. 148, October 2020, 103549,
https://doi.org/10.1016/j.geomphys.2019.103549,
arXiv:1906.03254.
57. Valentin Lychagin, Valeriy Yumaguzhin, On equivalence of third order linear differential operators on two-dimensional manifolds,
Journal of Geometry and Physics, Vol. 146, December 2019, 103507,
https://doi.org/10.1016/j.geomphys.2019.103507,
arXiv:1904.08664.
56. Valentin Lychagin, Valeriy Yumaguzhin, Classification of second order linear differential operators and differential equations,
Journal of Geometry and Physics, Vol. 130, August 2018, pp. 213-228
https://doi.org/10.1016/j.geomphys.2018.03.025
55. A.P. Mashtakov, V.A. Yumaguzhin, and V.N. Yumaguzhina, On solutions of Fokker-Planck equations,
Journal of Mathematical Sciences, 2018, to appear.
54. Валентин Лычагин, Валерий Юмагужин, Адиабатическое движение газа как движение вдоль геодезичесих,
Информационные технологии и математическое моделирование: Избранные статьи 9 научнч. интернет конференции под ред. С.И.Сенашова; Сиб. гос. ун-т науки и технологий, University of Guadalajara, Mexico. – Красноярск, 2017, с. 85. to appear.
53. Valentin Lychagin, Valeriy Yumaguzhin, Differential invariants and exact solutions of the Einstein equation,
Analysis and Mathematical Physics, 2017, Vol. 7, No. 2, pp. 107-115.
DOI: 10.1007/s13324-016-0130-z
http://link.springer.com/article/10.1007/s13324-016-0130-z
52. Valentin Lychagin, Valeriy Yumaguzhin, Differential invariants and exact solutions of the Einstein-Maxwell equation,
Analysis and Mathematical Physics, 2017, Vol. 7, No. 1, pp. 19-29.
DOI: 10.1007/s13324-016-0127-7
https://link.springer.com/article/10.1007/s13324-016-0127-7
51. Valentin Lychagin, Valeriy Yumaguzhin, Natural spinor structures over Lorentzian manifolds,
Journal of Geometry and Physics, (2016), Vol. 106, pp. 1-5.
http://dx.doi.org/10.1016/j.geomphys.2016.03.004
50. Valeriy Yumaguzhin, Geometric structures on solutions of equations of adiabatic gas motion,
Lobachevskii Journal of Mathematics, 2016, Vol. 37, No. 1, pp. 88–101.
http://link.springer.com/journal/12202/37/1/page/1
49. Valentin Lychagin, Valeriy Yumaguzhin, Metric, relativistic, and electromagnetic invariants,
Preprint, The Erwin SchroedingerInternational Institute for Mathematical Physics (ESI), 2015, to appear.
48. Valentin Lychagin, Valeriy Yumaguzhin, Invariants in relativity theory,
Lobachevskii Journal of Mathematics, 2015, Vol. 36, No. 3, pp. 298–312.
47. Valeriy Yumaguzhin, Geometric structures on solutions of equations of 3-dimensional adiabatic gas motion,
Journal of Geometry and Physics, (2014), vol. 85, pp. 230 - 244.
DOI: 10.1016/j.geomphys.2014.05.002.
http://dx.doi.org/10.1016/j.geomphys.2014.05.002
46. Valentin Lychagin, Valeriy Yumaguzhin, Cohomological uniqueness of the Cauchy problem solutions for the Einstein-Maxwell equation,
Journal of Geometry and Physics, (2014), vol. 85, pp. 206 - 229.
DOI: 10.1016/j.geomphys.2014.05.003.
http://dx.doi.org/10.1016/j.geomphys.2014.05.003
45. В.В.Лычагин, В.А.Юмагужин, О задаче Коши для уравнения Эйнштейна-Максвелла,
Доклады Академии Наук, Математика, 2014, т. 455, № 5, с. 521–523
44. В.В.Лычагин, В.А.Юмагужин, О задаче Коши для уравнения Эйнштейна,
Доклады Академии Наук, Математика, 2012, т. 447, № 3, с. 259-261.
43. Valentin Lychagin, Valeriy Yumaguzhin, Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation,
Journal of Geometry and Physics,2012, Vol. 62, No. 10, pp. 2099–2120,
http://dx.doi.org/10.1016/j.geomphys.2012.06.001
42. В. В. Лычагин, В. А. Юмагужин, Метрики на решениях уравнения коротких волн, СибГАУ,
Моделирование и механика, Сб. научных статей под ред. С.И.Сенашова, Сиб. гос. аэрокосмич. ун-т. - Красноярск, 2012, с. 71-76.
41. V.A. Yumaguzhin, V.N. Yumaguzhina, Explicit torsion free solutions of 2-dimensional gas dynamics equations,
Program systems: theory and applications, 2011, No 2(6), 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. -- М. 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.А.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.А.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.А.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.А.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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