Mikhailichenko G G

Publications in Math-Net.Ru

1. General nondegenerate solution of a system of functional equations
   
   Vladikavkaz. Mat. Zh., 26:1 (2024),  56–67
2. Solution of three systems of functional equations related to complex, double and dual numbers
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7,  42–51
3. Nondegenerate canonical solutions of a certain system of functional equations
   
   Vladikavkaz. Mat. Zh., 24:1 (2022),  44–53
4. Nondegenerate canonical solutions of one system of functional equations
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 8,  46–55
5. 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
6. Coordinate-free recording of Helmholtz planes
   
   Chelyab. Fiz.-Mat. Zh., 4:4 (2019),  412–418
7. Derivation of an equation of phenomenological symmetry for some three-dimensional geometries
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9,  11–20
8. 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. Hypercomplex numbers in some geometries of two sets. I
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 7,  19–29
10. The analytic method of embedding symplectic geometry
    
    Sib. Èlektron. Mat. Izv., 14 (2017),  657–672
11. 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. Phenomenologically symmetric geometry of two sets of rank $(3,2)$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2,  48–53
13. Functional equations in geometry of two sets
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 7,  64–72
14. Hypercomplex numbers in the theory of physical structures
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 10,  25–30
15. Phenomenological symmetry and functional equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 7,  77–79
16. The simplest polymetric geometries. I
    
    Sibirsk. Mat. Zh., 39:2 (1998),  377–395
17. The three-dimensional Lie algebras of locally transitive transformations of space
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 9,  41–48
18. The simplest polymetric geometries
    
    Dokl. Akad. Nauk, 348:1 (1996),  22–24
19. On the symmetry of distance in geometry
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 4,  21–23
20. Bimetric physical structures of rank $(n+1,2)$
    
    Sibirsk. Mat. Zh., 34:3 (1993),  132–143
21. Dimetric physical structures and complex numbers
    
    Dokl. Akad. Nauk SSSR, 321:4 (1991),  677–680
22. Some corollaries of a hypothesis on the binary structure of space
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 6,  28–35
23. Phenomenological and group symmetries in the geometry of two sets (theory of physical structures)
    
    Dokl. Akad. Nauk SSSR, 284:1 (1985),  39–43
24. Group symmetry and phenomenological symmetry in geometry
    
    Sibirsk. Mat. Zh., 25:5 (1984),  99–113
25. On group and phenomenological symmetries in geometry
    
    Dokl. Akad. Nauk SSSR, 269:2 (1983),  284–288
26. Three-dimensional Lie algebras of transformations of the plane
    
    Sibirsk. Mat. Zh., 23:5 (1982),  132–141
27. Two-dimensional geometry
    
    Dokl. Akad. Nauk SSSR, 260:4 (1981),  803–805
28. A problem in the theory of physical structures
    
    Sibirsk. Mat. Zh., 18:6 (1977),  1342–1355
29. A ternary physical structure of rank $(2,2,2)$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 8,  60–67
30. A binary physical structure of rank (3.2)
    
    Sibirsk. Mat. Zh., 14:5 (1973),  1057–1064
31. The solution of functional equations in the theory of physical structures
    
    Dokl. Akad. Nauk SSSR, 206:5 (1972),  1056–1058


32. Поправки к статье “Решение функциональных уравнений в теории физических структур” (ДАН, т. 206, № 5, 1972 г.)
    
    Dokl. Akad. Nauk SSSR, 209:6 (1973),  760