Loginov Boris Vladimirovich

Publications in Math-Net.Ru

1. Normal forms of the degenerate autonomous differential equations with the maximal Jordan chain and simple applications
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017),  5–15
2. Differential equations with degenerate, depending on the unknown function operator at the derivative
   
   CMFD, 59 (2016),  119–147
3. The branching of periodic solutions of inhomogeneous linear differential equations with a the perturbation in the form of small linear term with delay
   
   Zhurnal SVMO, 18:3 (2016),  61–69
4. The branching of periodic solutions of inhomogeneous linear differential equations with degenerate or identity operator in the derivative and the disturbance in the form of small linear term
   
   Zhurnal SVMO, 18:1 (2016),  45–53
5. Normal forms of the degenerate differential autonomous and non autonomous equations with the maximal Jordan chain of length two and three
   
   Bulletin of Irkutsk State University. Series Mathematics, 12 (2015),  58–71
6. Models of multiparameter bifurcations in boundary value problems for ODEs of the fourth order on divergence of elongated plate in supersonic gas flow
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015),  24–35
7. Comments to the problem on branching of periodical solutions at Andronov-Hopf bifurcation in differential equations with degenerated operator before the derivative
   
   Zhurnal SVMO, 16:4 (2014),  33–40
8. Eigenvalue problem for the Laplace operator in $s$-dimensional unit ball $\Omega\subset\R^{s+1}$ with displacements in derivatives II
   
   Zhurnal SVMO, 16:4 (2014),  7–22
9. Cayley-Hamilton theorem for two variants of matrix spectral problems on E.Shmidt and development of characteristic polynomial
   
   Zhurnal SVMO, 16:3 (2014),  7–20
10. Group Symmetry for Dynamica Bifurcation Problems with Schmidt Spectrum in Linearization
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:4 (2014),  50–63
11. Eigenvalue problem for the Laplace operator with displacement in derivatives
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114),  41–45
12. The eigenvalue problem for the Laplace operator in $s$-dimensional unit ball $\Omega$ with displacement in derivatives
    
    Zhurnal SVMO, 15:4 (2013),  136–147
13. Comments to the problems of small perturbations of linear equations and linear term of the spectral characteristics of a Fredholm operator
    
    Zhurnal SVMO, 15:3 (2013),  100–107
14. Degenerated differential equations with variable degeneration operator
    
    Zhurnal SVMO, 15:3 (2013),  8–20
15. Construction of the asymptotics of solutions of nonlinear boundary value problems for fourth order differential equation with two bifurcation parameters
    
    Bulletin of Irkutsk State University. Series Mathematics, 5:1 (2012),  2–12
16. Dynamic bifurcation problems with E.Schmidt spectrum in the linearization under group symmetry conditions
    
    Zhurnal SVMO, 14:1 (2012),  25–35
17. Group symmetry of potential type bifurcation equations in dynamic branching
    
    Tr. Inst. Mat., 20:2 (2012),  75–83
18. Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace
    
    Trudy Mat. Inst. Steklova, 278 (2012),  260–268
19. Implicit operator theorems under group symmetry conditions
    
    Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011),  31–43
20. Regularization of the problem about perturbations of linear equation by small linear terms.}
    
    Zhurnal SVMO, 13:3 (2011),  146–147
21. Stationary bifurcation problems with E. Schmidt spectrum in linearization under group symmetry conditions.
    
    Zhurnal SVMO, 13:3 (2011),  15–30
22. Solutions stability on linear approximation to Cauchy problem , branching equation in the root subspace, symmetry
    
    Zhurnal SVMO, 12:3 (2010),  8–17
23. Bifurcation theory methods in problem about crystallization of liquid phase state in statistical crystal theory
    
    Trudy SVMO, 11:2 (2009),  194–196
24. Pseudoperturbation operator in generalized eigenvalue problem under group symmetry
    
    Trudy SVMO, 11:2 (2009),  43–48
25. Bifurcation theory methods in problem about crystallization of liquid phase state in statistical crystal theory
    
    Trudy SVMO, 11:1 (2009),  10–28
26. On application of pseudoperturbation method to the solving of algebraic equations
    
    Trudy SVMO, 10:1 (2008),  315–320
27. Symmetry of $SO(2)$ and $SH(2)$ in Poincaré-Andronov-Hopf bifurcation problems with potential branching equations
    
    Trudy SVMO, 10:1 (2008),  106–112
28. Symmetry and potentiality in a general problem in bifurcation theory
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 4,  30–40
29. Solutions with subgroup symmetry for singular equations in bifurcation theory
    
    Lobachevskii J. Math., 20 (2005),  91–101
30. Differential-algebraic equations in the theory of invariant manifolds for singular equations
    
    Lobachevskii J. Math., 20 (2005),  77–89
31. Invariant Reduction of Partially Potential Branching Equations and Iterative Methods in the Problem on a Bifurcation Point with a Symmetry
    
    Differ. Uravn., 40:3 (2004),  380–388
32. Bifurcation and symmetry in problems of capillary-gravity waves
    
    Sibirsk. Mat. Zh., 42:4 (2001),  868–887
33. A problem with a free boundary for the Laplace equation, capillary-gravitational waves in space, bifurcation and symmetry
    
    Differ. Uravn., 34:8 (1998),  1100–1106
34. Теоремы существования бифуркации в присутствии одной обобщенной жордановой цепочки нечетной длины
    
    Mat. Model., 9:10 (1997),  30–31
35. Group analysis in twopoint boundary value problems describing the rod bending
    
    Mat. Model., 7:5 (1995),  37–38
36. Group analysis in problems with symmetry violatation
    
    Mat. Model., 7:5 (1995),  36
37. On the determination of a bifurcation equation by its symmetry group
    
    Dokl. Akad. Nauk, 331:6 (1993),  677–680
38. Modification of the Lyapunov–Schmidt method and the stability of solutions of differential equations with a degenerate operator of finite index multiplying the derivative
    
    Dokl. Akad. Nauk, 330:6 (1993),  687–690
39. Group symmetry of the Lyapunov–Schmidt branching equation and iterative methods in the problem of a bifurcation point
    
    Mat. Sb., 182:5 (1991),  681–691
40. The bifurcation equation: potentiality, bifurcation, symmetry
    
    Dokl. Akad. Nauk SSSR, 309:2 (1989),  286–289
41. Construction of the asymptotic behavior of small solutions of a problem of rolling waves
    
    Dokl. Akad. Nauk SSSR, 304:6 (1989),  1320–1323
42. On the spectrum of a Bitsadze–Samarskiǐ problem
    
    Differ. Uravn., 24:11 (1988),  2012–2016
43. On the stability of bifurcating solutions
    
    Differ. Uravn., 24:4 (1988),  695–698
44. On the use of vector invariants for determining the general form of a bifurcation equation under group invariance conditions
    
    Dokl. Akad. Nauk SSSR, 259:5 (1981),  1045–1050
45. On the connection between the method of false perturbations, analytical perturbations, and differential equations with degeneration
    
    Differ. Uravn., 17:11 (1981),  2090–2093
46. Construction of periodic solutions of the three-dimensional problem of waves above a level bottom
    
    Dokl. Akad. Nauk SSSR, 247:2 (1979),  324–328
47. On invariant solutions in branching theory
    
    Dokl. Akad. Nauk SSSR, 246:5 (1979),  1048–1051
48. Variational methods in bifurcation theory under conditions of group invariance
    
    Differ. Uravn., 15:9 (1979),  1710–1712
49. Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method
    
    Mat. Zametki, 19:1 (1976),  105–108
50. The branching of the solutions of the Cauchy problem for linear differential equations
    
    Differ. Uravn., 11:9 (1975),  1709–1712
51. The use of group invariance in branching theory
    
    Differ. Uravn., 11:8 (1975),  1518–1521
52. Branching of the solutions of the equation $\Delta u+\lambda u=f(u)$ on the sphere
    
    Differ. Uravn., 8:10 (1972),  1816–1824
53. On the application of continuous groups in the theory of branching
    
    Dokl. Akad. Nauk SSSR, 197:1 (1971),  36–39
54. The use of group properties to determine milti-parameter families of solutions of nonlinear equations
    
    Mat. Sb. (N.S.), 85(127):3(7) (1971),  440–454


55. On the 80th anniversary of professor E.V. Voskresensky's birthday
    
    Zhurnal SVMO, 19:4 (2017),  95–99
56. Nikolay Aleksandrovich Sidorov (to the 75th Anniversary)
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015),  143–148