Zabreiko Petr Petrovich

Publications in Math-Net.Ru

1. On continuous solutions of the Cauchy problem for equations of fractional order
   
   Journal of the Belarusian State University. Mathematics and Informatics, 3 (2018),  39–45
2. The convergence of successive approximations method for $p$-adic matrices
   
   Tr. Inst. Mat., 25:1 (2017),  27–38
3. On derivatives of superposition operators between the spaces $L_p$
   
   Tr. Inst. Mat., 25:1 (2017),  15–26
4. On the calculation of index of a vector field
   
   Tr. Inst. Mat., 24:2 (2016),  44–54
5. Boolean-valued matrices in the open Leontiev model
   
   Tr. Inst. Mat., 24:1 (2016),  19–29
6. Mathematical theory of geometric Koopmans model
   
   Tr. Inst. Mat., 23:2 (2015),  43–55
7. Newton diagrams and algebraic curves. II
   
   Tr. Inst. Mat., 23:1 (2015),  64–75
8. Newton diagrams and algebraic curves
   
   Tr. Inst. Mat., 22:2 (2014),  32–45
9. Optimal Banach function space generated with the cone of nonnegative increasing functions
   
   Tr. Inst. Mat., 22:1 (2014),  24–34
10. Optimal reconstruction of a Banach function space from a cone of nonnegative functions
    
    Trudy Mat. Inst. Steklova, 284 (2014),  142–156
11. On the size of errors in the method of successive approximations
    
    Tr. Inst. Mat., 21:2 (2013),  91–102
12. Principle of non-existence of nonlinear operator equation solutions
    
    Tr. Inst. Mat., 21:2 (2013),  81–90
13. Multilinear and power functionals and operators in the space of continuous functions
    
    Tr. Inst. Mat., 20:2 (2012),  18–29
14. Modular estimates in orlicz spaces and Hammerstein operator equations
    
    Tr. Inst. Mat., 20:1 (2012),  50–59
15. Tangential vectors for sets defined with systems of equations
    
    Tr. Inst. Mat., 20:1 (2012),  42–49
16. Matrix exponents and nilpotent algebras
    
    Tr. Inst. Mat., 19:2 (2011),  37–46
17. Regular smoothness and the Newton–Kantorovich method
    
    Tr. Inst. Mat., 19:1 (2011),  52–61
18. A principle for study of quasi-gradient methods of approximate solving operator equations in Hilbert spaces
    
    Tr. Inst. Mat., 19:1 (2011),  32–44
19. The conditions of a local minimum of the functions in several variablesand implicit functions
    
    Tr. Inst. Mat., 18:2 (2010),  11–21
20. Systems of scalar equations and implicit functions. II
    
    Tr. Inst. Mat., 18:1 (2010),  36–46
21. Finite systems of equations and implicit functions. I
    
    Tr. Inst. Mat., 17:2 (2009),  3–14
22. Gantmakher–Krein theorem for $2$-completely nonnegative operators in ideal spaces
    
    Tr. Inst. Mat., 17:1 (2009),  51–60
23. The description of solutions of the open Leontiev–Ford model in ideal spaces
    
    Tr. Inst. Mat., 16:2 (2008),  37–48
24. The open Leontiev–Ford model
    
    Tr. Inst. Mat., 15:2 (2007),  15–26
25. On Hopf's theorems for relative rotation
    
    Tr. Inst. Mat., 15:1 (2007),  33–46
26. The Cauchy problem for fractional differential equations with worsening right-hand sides
    
    Differ. Uravn., 42:8 (2006),  1132–1134
27. The majorant method and the fixed point principle in nonlocal theory of the Cauchy problem for normal partial differential systems
    
    Differ. Uravn., 42:2 (2006),  233–238
28. On the nonlocal solvability of the Cauchy problem for a matrix system of partial differential equations of Fedorov–Bernulli type
    
    Tr. Inst. Mat., 14:2 (2006),  48–53
29. New existence theorems for Lyapunov–Schmidt integral equations
    
    Differ. Uravn., 40:9 (2004),  1198–1207
30. On the Fixed Point Principle for Matrix Partial Differential Systems of Fedorov–Riccati Type
    
    Differ. Uravn., 40:6 (2004),  840–843
31. An Analog of the Peano Theorem for Fractional-Order Quasilinear Equations in Compactly Embedded Scales of Banach Spaces
    
    Differ. Uravn., 40:4 (2004),  522–526
32. On the Nonlocal Solvability of the Cauchy Problem for Quasilinear Normal First-Order Partial Differential Equations
    
    Differ. Uravn., 39:7 (2003),  1001–1003
33. On Partial Integral Equations in the Space of Continuous Functions
    
    Differ. Uravn., 38:4 (2002),  538–546
34. Fredholm formulas for linear integral equations
    
    Differ. Uravn., 35:9 (1999),  1162–1170
35. The $L_2$-theory of linear Fredholm integral equations of the second kind
    
    Differ. Uravn., 31:9 (1995),  1498–1507
36. New theorems on the solvability of Hammerstein equations with potential nonlinearities
    
    Differ. Uravn., 31:4 (1995),  690–695
37. The Banach–Cacciopoli principle and the implicit function theorem in a binormed space and its applications to differential equations
    
    Differ. Uravn., 30:3 (1994),  381–392
38. Exponential dichotomy and integral manifolds in the theory of flows and their applications
    
    Dokl. Akad. Nauk, 324:3 (1992),  515–518
39. The group of characteristic operators and its applications in the theory of linear ordinary differential equations
    
    Dokl. Akad. Nauk, 324:1 (1992),  24–28
40. Interpolation of the continuity property for partially additive operators
    
    Sibirsk. Mat. Zh., 33:2 (1992),  157–163
41. Periodic solutions of a quasilinear telegraph equation
    
    Differ. Uravn., 27:5 (1991),  815–826
42. New theorems on the solvability of Hammerstein operator and integral equations
    
    Differ. Uravn., 27:4 (1991),  672–682
43. The Cauchy problem for higher-order differential equations with deteriorating operators
    
    Differ. Uravn., 27:3 (1991),  472–478
44. Smoothness of solutions of linear differential equations in Banach spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 4,  9–16
45. Smoothness properties of solutions of nonlinear differential equations
    
    Mat. Sb., 182:2 (1991),  147–163
46. New theorems on the solvability of Hammerstein operator and integral equations
    
    Dokl. Akad. Nauk SSSR, 312:1 (1990),  28–31
47. Duality theory of ideal spaces of vector functions
    
    Dokl. Akad. Nauk SSSR, 311:6 (1990),  1296–1299
48. Continuous dependence of solutions of linear differential equations on a parameter
    
    Differ. Uravn., 24:12 (1988),  2056–2063
49. A generalization of the Banach–Cacciopolli principle to operators in pseudometric spaces
    
    Differ. Uravn., 23:9 (1987),  1497–1504
50. Applications of fixed-point theory to the Cauchy problem for equations with degrading operators
    
    Differ. Uravn., 23:2 (1987),  345–348
51. On superposition operators in $l_p$ spaces
    
    Sibirsk. Mat. Zh., 28:1 (1987),  86–98
52. Principles of uniform boundedness
    
    Mat. Zametki, 35:2 (1984),  287–297
53. Determining equations and the relatedness principle
    
    Sibirsk. Mat. Zh., 24:1 (1983),  79–88
54. On general conditions for a minimum
    
    Dokl. Akad. Nauk SSSR, 263:4 (1982),  798–801
55. Theorem on extension of bounded solutions for differential equations and the averaging principle
    
    Sibirsk. Mat. Zh., 21:4 (1980),  50–61
56. Über die Lösbarkeit des Cauchyproblems für gewöhnliche Differentialgleichungen in Banachräumen
    
    Differ. Uravn., 15:11 (1979),  2093–2094
57. A theorem of M. G. Krein and M. A. Rutman
    
    Funktsional. Anal. i Prilozhen., 13:3 (1979),  81–82
58. Reduction principle for the method of successive approximations and invariant manifolds
    
    Sibirsk. Mat. Zh., 20:3 (1979),  539–547
59. On the closed graph theorem
    
    Sibirsk. Mat. Zh., 18:2 (1977),  304–313
60. The superposition operator in Hölder function spaces
    
    Dokl. Akad. Nauk SSSR, 222:6 (1975),  1265–1268
61. The method of a small parameter for hyperbolic equations
    
    Differ. Uravn., 8:5 (1972),  823–834
62. Invariance of rotation principles
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 5,  51–57
63. Quasilinear operators and Hammerstein's equation
    
    Mat. Zametki, 12:4 (1972),  453–464
64. Iterations of operators, and fixed points
    
    Dokl. Akad. Nauk SSSR, 196:5 (1971),  1006–1009
65. Eigenfunctions of the Hammerstein operator
    
    Differ. Uravn., 7:7 (1971),  1294–1304
66. On a class of linear positive operators
    
    Funktsional. Anal. i Prilozhen., 5:4 (1971),  9–17
67. Solvability of nonlinear operator equations
    
    Funktsional. Anal. i Prilozhen., 5:3 (1971),  42–44
68. The bifurcation points of the Hammerstein equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 6,  43–53
69. Periodic solutions of evolutionary equations
    
    Mat. Zametki, 9:6 (1971),  651–662
70. The Schaefer method in the theory of Hammerstein integral equations
    
    Mat. Sb. (N.S.), 84(126):3 (1971),  456–475
71. The Nekrasov–Nazarov method of solving nonlinear operator equations
    
    Sibirsk. Mat. Zh., 12:5 (1971),  1026–1040
72. Bifurcation points of Hammerstein's equation
    
    Dokl. Akad. Nauk SSSR, 194:3 (1970),  496–499
73. An oscillator on an elasto-plastic element
    
    Dokl. Akad. Nauk SSSR, 190:2 (1970),  266–268
74. An operator-hysterant
    
    Dokl. Akad. Nauk SSSR, 190:1 (1970),  34–37
75. A certain class of semigroups
    
    Dokl. Akad. Nauk SSSR, 189:5 (1969),  934–937
76. The averaging principle and bifurcation of almost periodic solutions
    
    Dokl. Akad. Nauk SSSR, 187:6 (1969),  1219–1221
77. Implicit functions and the averaging principle of N. N. Bogoljubov and N. M. Krylov
    
    Dokl. Akad. Nauk SSSR, 184:3 (1969),  526–529
78. On the basis of the method of N. N. Bogoljubov and N. M. Krylov for ordinary differential equations
    
    Differ. Uravn., 5:2 (1969),  240–253
79. A theorem for semiadditive functionals
    
    Funktsional. Anal. i Prilozhen., 3:1 (1969),  86–88
80. The eigenvectors of Hammerstein's operator
    
    Dokl. Akad. Nauk SSSR, 183:4 (1968),  758–761
81. A way of obtaining new fixed-point principles
    
    Dokl. Akad. Nauk SSSR, 176:6 (1967),  1233–1235
82. Theorems on the existence and uniqueness of solutions of Hammerstein equations
    
    Dokl. Akad. Nauk SSSR, 176:4 (1967),  759–762
83. Uniqueness theorems for ordinary differential equations
    
    Differ. Uravn., 3:2 (1967),  341–347
84. On a fixed-point principle for operators in a Hilbert space
    
    Funktsional. Anal. i Prilozhen., 1:2 (1967),  93–94
85. An interpolation theorem for linear operators
    
    Mat. Zametki, 2:6 (1967),  593–598
86. Estimates of the spectral radius of postive linear operators
    
    Mat. Zametki, 1:4 (1967),  461–468
87. Volterra integral operators
    
    Uspekhi Mat. Nauk, 22:1(133) (1967),  167–168
88. Higher order approximations of the averaging method of N. N. Bogoljubov–N. M. Krylov
    
    Dokl. Akad. Nauk SSSR, 171:2 (1966),  262–265
89. On differentiability of nonlinear operators in the spaces $\mathscr{L}_p$
    
    Dokl. Akad. Nauk SSSR, 166:5 (1966),  1039–1042
90. On the theory of implicit functions in Banach spaces
    
    Uspekhi Mat. Nauk, 21:3(129) (1966),  235–237
91. On fractional powers of elliptic operators
    
    Dokl. Akad. Nauk SSSR, 165:5 (1965),  990–993
92. The continuity and complete continuity of operators of P. S. Uryson
    
    Dokl. Akad. Nauk SSSR, 161:5 (1965),  1007–1010
93. A problem on fractional powers of operators
    
    Uspekhi Mat. Nauk, 20:6(126) (1965),  87–89
94. Some properties of linear operators acting in the spaces $\mathscr{L}_p$
    
    Dokl. Akad. Nauk SSSR, 159:5 (1964),  975–977
95. On $L$-characteristics of operators
    
    Uspekhi Mat. Nauk, 19:5(119) (1964),  187–189
96. On continuity and complete continuity of nonlinear integral operators in $L_p$ spaces
    
    Uspekhi Mat. Nauk, 19:2(116) (1964),  204–205
97. On the continuity of a non-linear integral operator
    
    Sibirsk. Mat. Zh., 5:4 (1964),  958–960
98. Calculation of the index of a fixed point of a vector field
    
    Sibirsk. Mat. Zh., 5:3 (1964),  509–531
99. On calculating the Poincaré index
    
    Dokl. Akad. Nauk SSSR, 145:5 (1962),  979–982
100. Calculation of the index of an isolated stationary point of a completely continuous vector field
     
     Dokl. Akad. Nauk SSSR, 141:2 (1961),  292–295


101. Memory of M. A. Krasnosel'skii
     
     Avtomat. i Telemekh., 1998, no. 2,  179–184
102. Mark Alexandrovich Krasnosel'skii (on his seventieth birthday)
     
     Uspekhi Mat. Nauk, 45:2(272) (1990),  225–227
103. Поправки к статье “О вычислении индекса изолированной неподвижной точки вполне непрерывного векторного поля” (ДАН, т. 141, № 2, 1961 г.)
     
     Dokl. Akad. Nauk SSSR, 146:1 (1962),  8