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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
R. A. Bogdanova, G. G. Mikhailichenko, “General nondegenerate solution of a system of functional equations”, Vladikavkaz. Mat. Zh., 26:1 (2024), 56–67 |
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2023 |
2. |
V. A. Kyrov, G. G. Mikhailichenko, “Solution of three systems of functional equations related to complex, double and dual numbers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7, 42–51 |
1
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2022 |
3. |
V. A. Kyrov, G. G. Mikhailichenko, “Nondegenerate canonical solutions of a certain system of functional equations”, Vladikavkaz. Mat. Zh., 24:1 (2022), 44–53 |
2
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2021 |
4. |
V. A. Kyrov, G. G. Mikhailichenko, “Nondegenerate canonical solutions of one system of functional equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 8, 46–55 ; Russian Math. (Iz. VUZ), 65:8 (2021), 40–48 |
5
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2020 |
5. |
R. A. Bogdanova, G. G. Mikhailichenko, R. M. Muradov, “Successive in rank $(n+1,2)$ embedding of dimetric phenomenologically symmetric geometries of two sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 9–14 ; Russian Math. (Iz. VUZ), 64:6 (2020), 6–10 |
6
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2019 |
6. |
G. G. Mikhailichenko, A. A. Simonov, “Coordinate-free recording
of Helmholtz planes”, Chelyab. Fiz.-Mat. Zh., 4:4 (2019), 412–418 |
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2018 |
7. |
R. A. Bogdanova, G. G. Mikhailichenko, “Derivation of an equation of phenomenological symmetry for some three-dimensional geometries”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9, 11–20 ; Russian Math. (Iz. VUZ), 62:9 (2018), 7–16 |
1
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8. |
V. A. Kyrov, G. G. Mikhailichenko, “Embedding of an additive two-dimensional phenomenologically symmetric geometry of two sets of rank $(2,2)$ into two-dimensional phenomenologically symmetric geometries of two sets of rank $(3,2)$”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:3 (2018), 305–327 |
9
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2017 |
9. |
G. G. Mikhailichenko, V. A. Kyrov, “Hypercomplex numbers in some geometries of two sets. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 7, 19–29 ; Russian Math. (Iz. VUZ), 61:7 (2017), 15–24 |
6
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10. |
V. A. Kyrov, G. G. Mikhailichenko, “The analytic method of embedding symplectic geometry”, Sib. Èlektron. Mat. Izv., 14 (2017), 657–672 |
9
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11. |
V. A. Kyrov, G. G. Mikhailichenko, “An analytic method for the embedding of the Euclidean and pseudo-Euclidean geometries”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017), 167–181 |
12
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2016 |
12. |
G. G. Mikhailichenko, “Phenomenologically symmetric geometry of two sets of rank $(3,2)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 48–53 ; Russian Math. (Iz. VUZ), 60:2 (2016), 40–45 |
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2010 |
13. |
G. G. Mikhailichenko, “Functional equations in geometry of two sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 7, 64–72 ; Russian Math. (Iz. VUZ), 54:7 (2010), 56–63 |
1
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2008 |
14. |
G. G. Mikhailichenko, R. M. Muradov, “Hypercomplex numbers in the theory of physical structures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 10, 25–30 ; Russian Math. (Iz. VUZ), 52:10 (2008), 20–24 |
3
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2001 |
15. |
G. G. Mikhailichenko, V. M. Malyshev, “Phenomenological symmetry and functional equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 7, 77–79 ; Russian Math. (Iz. VUZ), 45:7 (2001), 75–76 |
3
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1998 |
16. |
G. G. Mikhailichenko, “The simplest polymetric geometries. I”, Sibirsk. Mat. Zh., 39:2 (1998), 377–395 ; Siberian Math. J., 39:2 (1998), 331–345 |
2
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1997 |
17. |
G. G. Mikhailichenko, “The three-dimensional Lie algebras of locally transitive transformations of space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 9, 41–48 ; Russian Math. (Iz. VUZ), 41:9 (1997), 38–45 |
1
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1996 |
18. |
G. G. Mikhailichenko, “The simplest polymetric geometries”, Dokl. Akad. Nauk, 348:1 (1996), 22–24 |
3
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1994 |
19. |
G. G. Mikhailichenko, “On the symmetry of distance in geometry”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 4, 21–23 ; Russian Math. (Iz. VUZ), 38:4 (1994), 19–20 |
2
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1993 |
20. |
G. G. Mikhailichenko, “Bimetric physical structures of rank $(n+1,2)$”, Sibirsk. Mat. Zh., 34:3 (1993), 132–143 ; Siberian Math. J., 34:3 (1993), 513–522 |
15
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1991 |
21. |
G. G. Mikhailichenko, “Dimetric physical structures and complex numbers”, Dokl. Akad. Nauk SSSR, 321:4 (1991), 677–680 ; Dokl. Math., 44:3 (1992), 775–778 |
1
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22. |
G. G. Mikhailichenko, “Some corollaries of a hypothesis on the binary structure of space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 6, 28–35 ; Soviet Math. (Iz. VUZ), 35:6 (1991), 28–34 |
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1985 |
23. |
G. G. Mikhailichenko, “Phenomenological and group symmetries in the geometry of two sets (theory of physical structures)”, Dokl. Akad. Nauk SSSR, 284:1 (1985), 39–43 |
4
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1984 |
24. |
G. G. Mikhailichenko, “Group symmetry and phenomenological symmetry in geometry”, Sibirsk. Mat. Zh., 25:5 (1984), 99–113 ; Siberian Math. J., 25:5 (1984), 764–774 |
11
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1983 |
25. |
G. G. Mikhailichenko, “On group and phenomenological symmetries in geometry”, Dokl. Akad. Nauk SSSR, 269:2 (1983), 284–288 |
1
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1982 |
26. |
G. G. Mikhailichenko, “Three-dimensional Lie algebras of transformations of the plane”, Sibirsk. Mat. Zh., 23:5 (1982), 132–141 ; Siberian Math. J., 23:5 (1982), 694–702 |
1
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1981 |
27. |
G. G. Mikhailichenko, “Two-dimensional geometry”, Dokl. Akad. Nauk SSSR, 260:4 (1981), 803–805 |
9
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1977 |
28. |
G. G. Mikhailichenko, “A problem in the theory of physical structures”, Sibirsk. Mat. Zh., 18:6 (1977), 1342–1355 ; Siberian Math. J., 18:6 (1977), 951–961 |
3
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1976 |
29. |
G. G. Mikhailichenko, “A ternary physical structure of rank $(2,2,2)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 8, 60–67 ; Soviet Math. (Iz. VUZ), 20:8 (1976), 48–54 |
1
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1973 |
30. |
G. G. Mikhailichenko, “A binary physical structure of rank (3.2)”, Sibirsk. Mat. Zh., 14:5 (1973), 1057–1064 ; Siberian Math. J., 14:5 (1973), 737–742 |
1
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1972 |
31. |
G. G. Mikhailichenko, “The solution of functional equations in the theory of physical structures”, Dokl. Akad. Nauk SSSR, 206:5 (1972), 1056–1058 |
18
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1973 |
32. |
G. G. Mikhailichenko, “Поправки к статье “Решение функциональных уравнений в теории физических структур” (ДАН, т. 206, № 5, 1972 г.)”, Dokl. Akad. Nauk SSSR, 209:6 (1973), 760 |
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