operator semigroups,
Sobolev type equations,
initial boundary value problem,
inverse problem,
optimal control problem distributed system,
degenerate semigroup of operators,
unique solvability.
Resolving semigroups from various classes of smoothness of the Sobolev type equations $L\dot u=Mu$ in locally convex space are investigated. They have nontrivial kernels therefore their kernels and images are researched. It is shown that the phase space of the linear Sobolev type equation coincide with the image of its semigroup. The generation theorems are generalized on the cases of degenerate semigroups of operators. The abstract results are applied to research of initial boundary value problems for nonclassical partial derivative equations.
Perurbed Sobolev type equations, inverse and optimal control problems for distributed systems unsolved with respect to the time derivative are considered.
Biography
Graduated from Mathematical Faculty of Chelyabinsk State University in 1994 (mathematical analysis department). Ph.D. thesis was defended in 1996 in Differential Equations. Doctor of Sciences in 2005 in Mathematical Analysis and in Differential Equations.
The member of American Mathematical Society since 1997.
Main publications:
Fedorov V. E., “Degenerate strongly continuous semigroups of operators”, St. Petersburg Math. J., 12:3 (2001), 471–489
Fedorov V. E., “Weak solutions of linear equations of Sobolev type and semigroups of operators”, Izv. Math., 67:4 (2003), 797–813
Sviridyuk G. A., Fedorov V. E., Linear Sobolev Type Equations and Degenerate Semigroups of Operators, Inverse and Ill-Posed Problems, VSP, Utrecht; Boston, 2003
Fedorov V. E., “Holomorphic solution semigroups for Sobolev-type equations in locally convex spaces”, Sb. Math., 195:8 (2004), 1205–1234
Fedorov V. E., “A generalization of the Hille-Yosida theorem to the case of degenerate semigroups in locally convex spaces”, Sib. Math. J., 46:2 (2005), 333–350
M. Kostić, V. E. Fedorov, H. C. Koyuncuoğlu, “Metrical Bochner criterion and metrical Stepanov almost periodicity”, Chelyab. Fiz.-Mat. Zh., 9:1 (2024), 90–100
2.
V. E. Fedorov, A. S. Scorynin, “A Class of Quasilinear Equations with Hilfer Derivatives”, Math. Notes, 115:5 (2024), 817–828
3.
V. E. Fedorov, A. D. Godova, “Integro-differential equations of Gerasimov type with sectorial operators”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024), 243–258
2023
4.
Sh. A. Alimov, R. R. Ashurov, O. S. Zikirov, B. I. Islomov, T. Sh. Kal'menov, A. P. Soldatov, A. K. Urinov, V. E. Fedorov, T. K. Yuldashev, “Makhmud Salakhitdinovich Salakhitdinov”, Chelyab. Fiz.-Mat. Zh., 8:4 (2023), 463–468
5.
V. E. Fedorov, M. V. Plekhanova, N. D. Ivanova, A. F. Shuklina, N. V. Filin, “Nonlinear inverse problems for some equations with fractional derivatives”, Chelyab. Fiz.-Mat. Zh., 8:2 (2023), 190–202
6.
V. E. Fedorov, A. D. Godova, “Integro-differential equations in Banach spaces and analytic resolving families of operators”, CMFD, 69:1 (2023), 166–184
S. M. Sitnik, M. V. Polovinkina, V. E. Fedorov, I. P. Polovinkin, “Recovery of the Laplace–Bessel operator of a function by the spectrum, which is specified not everywhere”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228 (2023), 52–57
8.
V. E. Fedorov, T. A. Zaharova, “Quasilinear equations with fractional Gerasimov–Caputo derivative. Sectorial case”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226 (2023), 127–137
9.
Kh. V. Yadrikhinskiy, V. E. Fedorov, “Linearly Autonomous Symmetries of a Fractional Guéant–Pu Model”, Math. Notes, 114:6 (2023), 1368–1380
10.
V. E. Fedorov, K. V. Boyko, “Quasilinear Equations with a Sectorial Set of Operators at Gerasimov–Caputo Derivatives”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023), 248–259; Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S78–S89
S. F. Dolbeeva, V. N. Pavlenko, S. V. Matveev, O. N. Dementiev, E. A. Sbrodova, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, A. A. Ershov, “Arlen Mikhaylovich Il'in. 90 years since the birth”, Chelyab. Fiz.-Mat. Zh., 7:2 (2022), 135–138
12.
A. R. Volkova, V. E. Fedorov, D. M. Gordievskikh, “On solvability of some classes of equations with Hilfer derivative in Banach spaces”, Chelyab. Fiz.-Mat. Zh., 7:1 (2022), 11–19
K. V. Boyko, V. E. Fedorov, “An inverse problem for a class of degenerate evolution multi-term equations with Gerasimov–Caputo derivatives”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 213 (2022), 38–46
V. E. Fedorov, L. V. Borel, N. D. Ivanova, “Nonlinear inverse problems for a class of equations with Riemann–Liouville derivatives”, Zap. Nauchn. Sem. POMI, 519 (2022), 264–288
B. Chaouchi, V. E. Fedorov, M. Kostić, “Monotonicity of certain classes of functions related with Cusa — Huygens inequality”, Chelyab. Fiz.-Mat. Zh., 6:3 (2021), 331–337
A. R. Volkova, E. M. Izhberdeeva, V. E. Fedorov, “Initial value problems for equations with a composition of fractional derivatives”, Chelyab. Fiz.-Mat. Zh., 6:3 (2021), 269–277
M. Kostić, S. Pilipović, D. Velinov, V. E. Fedorov, “$c$-Almost periodic type distributions”, Chelyab. Fiz.-Mat. Zh., 6:2 (2021), 190–207
18.
Kh. V. Yadrikhinskiy, V. E. Fedorov, “Invariant solutions of the Guéant — Pu model of options pricing and hedging”, Chelyab. Fiz.-Mat. Zh., 6:1 (2021), 42–51
M. M. Turov, V. E. Fedorov, B. T. Kien, “Linear inverse problems for multi-term equations with Riemann — Liouville derivatives”, Bulletin of Irkutsk State University. Series Mathematics, 38 (2021), 36–53
M. M. Dyshaev, V. E. Fedorov, “The accounting of illiquidity and transaction costs during the delta-hedging”, Applied Mathematics & Physics, 53:2 (2021), 132–143
21.
V. E. Fedorov, M. M. Turov, “The defect of a Cauchy type problem for linear equations with several Riemann–Liouville derivatives”, Sibirsk. Mat. Zh., 62:5 (2021), 1143–1162; Siberian Math. J., 62:5 (2021), 925–942
M. M. Dyshaev, D. B. Izergin, V. E. Fedorov, “Approximation and comparison of the empirical liquidity cost function for various futures contracts”, Mathematical notes of NEFU, 28:4 (2021), 101–113
23.
V. E. Fedorov, K. V. Boyko, T. D. Phuong, “Initial value problems for some classes of linear evolution equations with several fractional derivatives”, Mathematical notes of NEFU, 28:3 (2021), 85–104
V. E. Fedorov, N. V. Filin, “Linear equations with discretely distributed fractional derivative in Banach spaces”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021), 264–280
M. Kostić, V. E. Fedorov, “Asymptotically $(w,c)$-almost periodic type solutions of abstract degenerate non-scalar Volterra equations”, Chelyab. Fiz.-Mat. Zh., 5:4(1) (2020), 415–427
26.
V. E. Fedorov, T. D. Phuong, B. T. Kien, K. V. Boyko, E. M. Izhberdeeva, “A class of distributed order semilinear equations in Banach spaces”, Chelyab. Fiz.-Mat. Zh., 5:3 (2020), 342–351
A. S. Avilovich, D. M. Gordievskikh, V. E. Fedorov, “Issues of unique solvability and approximate controllability of linear fractional order equations with a Hölderian right-hand side”, Chelyab. Fiz.-Mat. Zh., 5:1 (2020), 5–21
M. M. Dyshaev, V. E. Fedorov, “The optimal rehedging interval for the options portfolio within the RAMP, taking into account transaction costs and liquidity costs”, Bulletin of Irkutsk State University. Series Mathematics, 31 (2020), 3–17
29.
V. E. Fedorov, A. A. Abdrakhmanova, “Initial-value problem for distributed-order equations with a bounded operator”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 188 (2020), 14–22
A. V. Nagumanova, V. E. Fedorov, “Linear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial case”, Mathematical notes of NEFU, 27:2 (2020), 54–76
V. E. Fedorov, “On generation of an analytic in a sector resolving operators family for a distributed order equation”, Zap. Nauchn. Sem. POMI, 489 (2020), 113–129
V. E. Fedorov, D. M. Gordievskikh, “The Cauchy problem for a semilinear
equation of the distributed order”, Chelyab. Fiz.-Mat. Zh., 4:4 (2019), 439–444
V. E. Fedorov, M. Kostić, “A note on (asymptotically) Weyl-almost periodic properties of convolution products”, Chelyab. Fiz.-Mat. Zh., 4:2 (2019), 195–206
V. E. Fedorov, A. V. Nagumanova, “Inverse problem for evolutionary equation with the Gerasimov–Caputo fractional derivative in the sectorial case”, Bulletin of Irkutsk State University. Series Mathematics, 28 (2019), 123–137
V. E. Fedorov, A. V. Nagumanova, “Inverse linear problems for a certain class of degenerate fractional evolution equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 167 (2019), 97–111
M. M. Dyshaev, V. E. Fedorov, “Time decay comparison for option straddle in case of insufficient liquidity or transaction costs”, Applied Mathematics & Physics, 51:3 (2019), 451–459
37.
V. E. Fedorov, A. S. Avilovich, “A Cauchy type problem for a degenerate equation with the Riemann–Liouville derivative in the sectorial case”, Sibirsk. Mat. Zh., 60:2 (2019), 461–477; Siberian Math. J., 60:2 (2019), 359–372
M. M. Dyshaev, V. E. Fedorov, “Comparing of some sensitivities for nonlinear models comparing of some sensitivities (Greeks) for nonlinear models of option pricing with market illiquidity”, Mathematical notes of NEFU, 26:2 (2019), 94–108
39.
V. E. Fedorov, D. M. Gordievskikh, D. Baleanu, K. Tash, “Criterion of the approximate controllability of a class of degenerate distributed systems with the Riemann–Liouville derivative”, Mathematical notes of NEFU, 26:2 (2019), 41–59
2018
40.
M. M. Dyshaev, V. E. Fedorov, A. S. Avilovich, D. A. Pletnev, “Simulation of feedback effects for futures-style options pricing on Moscow Exchange”, Chelyab. Fiz.-Mat. Zh., 3:4 (2018), 379–394
41.
D. M. Gordievskikh, V. E. Fedorov, M. M. Turov, “Infinite-dimensional and finite-dimensional $\varepsilon$-controllability for a class of fractional order degenerate evolution equations”, Chelyab. Fiz.-Mat. Zh., 3:1 (2018), 5–26
V. E. Fedorov, M. Kostić, “On a class of abstract degenerate multi-term fractional differential equations in locally convex spaces”, Eurasian Math. J., 9:3 (2018), 33–57
V. E. Fedorov, E. A. Romanova, “Inhomogeneous Fractional Evolutionary Equation in the Sectorial Case”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 149 (2018), 103–112; J. Math. Sci. (N. Y.), 250:5 (2020), 819–829
V. E. Fedorov, M. V. Plekhanova, R. R. Nazhimov, “Degenerate linear evolution equations with the Riemann–Liouville fractional derivative”, Sibirsk. Mat. Zh., 59:1 (2018), 171–184; Siberian Math. J., 59:1 (2018), 136–146
E. M. Streletskaya, V. E. Fedorov, A. Debbouche, “The Cauchy problem for distributed order equations in Banach spaces”, Mathematical notes of NEFU, 25:1 (2018), 63–72
V. E. Fedorov, “Homogeneous solution of the Baer — Nunziato model”, Chelyab. Fiz.-Mat. Zh., 2:3 (2017), 323–328
48.
E. A. Bezbogova, V. E. Fedorov, A. S. Avilovich, “Symmetry analysis of nonlinear pseudoparabolic equation”, Chelyab. Fiz.-Mat. Zh., 2:2 (2017), 152–168
49.
V. E. Fedorov, E. A. Romanova, “On analytical in a sector resolving families of operators for strongly degenerate evolution equations of higher and fractional orders”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 137 (2017), 82–96; J. Math. Sci. (N. Y.), 236:6 (2019), 663–678
M. M. Dyshaev, V. E. Fedorov, “Symmetries and exact solutions of a nonlinear pricing options equation”, Ufimsk. Mat. Zh., 9:1 (2017), 29–41; Ufa Math. J., 9:1 (2017), 29–40
V. E. Fedorov, “Group classification of the quasistationary phase fileld equations system”, Chelyab. Fiz.-Mat. Zh., 1:3 (2016), 63–76
52.
L. V. Borel', V. E. Fedorov, “On unique solvability of the system of gravitational-gyroscopic waves in the Boussinesq approximation”, Chelyab. Fiz.-Mat. Zh., 1:2 (2016), 16–23
53.
V. E. Fedorov, N. V. Filin, “Group analysis of a quasilinear equation”, Chelyab. Fiz.-Mat. Zh., 1:1 (2016), 93–103
54.
V. E. Fedorov, L. V. Borel, “Study of degenerate evolution equations with memory by operator semigroup methods”, Sibirsk. Mat. Zh., 57:4 (2016), 899–912; Siberian Math. J., 57:4 (2016), 704–714
E. A. Romanova, V. E. Fedorov, “Resolving operators of a linear degenerate evolution equation with Caputo derivative. The sectorial case”, Mathematical notes of NEFU, 23:4 (2016), 58–72
M. M. Dyshaev, V. E. Fedorov, “Symmetry analysis and exact solutions for a nonlinear model of the financial markets theory”, Mathematical notes of NEFU, 23:1 (2016), 28–45
57.
M. Kostić, V. E. Fedorov, “Degenerate fractional differential equations in locally convex spaces with a $\sigma$-regular pair of operators”, Ufimsk. Mat. Zh., 8:4 (2016), 100–113; Ufa Math. J., 8:4 (2016), 98–110
V. E. Fedorov, E. A. Romanova, A. Debbouche, “Analytic in a sector resolving families of operators for degenerate evolution equations of a fractional order”, Sib. J. Pure and Appl. Math., 16:2 (2016), 93–107; J. Math. Sci., 228:4 (2018), 380–394
D. M. Gordievskikh, V. E. Fedorov, “Solutions for initial boundary value problems for some degenerate equations systems of fractional order with respect to the time”, Bulletin of Irkutsk State University. Series Mathematics, 12 (2015), 12–22
V. E. Fedorov, D. M. Gordievskikh, “Resolving operators of degenerate evolution equations with fractional derivative with respect to time”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 1, 71–83; Russian Math. (Iz. VUZ), 59:1 (2015), 60–70
V. E. Fedorov, O. A. Stakheeva, “On the Local Existence of Solutions of Equations with Memory not Solvable with Respect to the Time Derivative”, Mat. Zametki, 98:3 (2015), 414–426; Math. Notes, 98:3 (2015), 472–483
N. D. Ivanova, V. E. Fedorov, “Time nonlocal boundary value problem for a linearized phase field equations system”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015), 10–15
V. E. Fedorov, L. V. Borel', “Solvability of weighted linear evolution equations with degenerate operator at the derivative”, Algebra i Analiz, 26:3 (2014), 190–206; St. Petersburg Math. J., 26:3 (2015), 487–497
V. E. Fedorov, L. V. Borel, “On solvability of degenerate linear evolution equations with memory effects”, Bulletin of Irkutsk State University. Series Mathematics, 10 (2014), 106–124
V. E. Fedorov, E. A. Omel'chenko, “Linear equations of the Sobolev type with integral delay operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 1, 71–81; Russian Math. (Iz. VUZ), 58:1 (2014), 60–69
V. E. Fedorov, N. D. Ivanova, Yu. Yu. Fedorova, “On a time nonlocal problem for inhomogeneous evolution equations”, Sibirsk. Mat. Zh., 55:4 (2014), 882–897; Siberian Math. J., 55:4 (2014), 721–733
V. E. Fedorov, P. N. Davydov, “Semilinear degenerate evolution equations and nonlinear systems of hydrodynamic type”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013), 267–278
N. V. Filin, V. E. Fedorov, “Invariant solutions of a nonclassical mathematical physics equation”, Vestnik Chelyabinsk. Gos. Univ., 2013, no. 16, 119–124
2012
71.
V. E. Fedorov, B. Shklyar, “Exact null controllability of degenerate evolution equations with scalar control”, Mat. Sb., 203:12 (2012), 137–156; Sb. Math., 203:12 (2012), 1817–1836
V. E. Fedorov, E. A. Omel'chenko, “Inhomogeneous degenerate Sobolev type equations with delay”, Sibirsk. Mat. Zh., 53:2 (2012), 418–429; Siberian Math. J., 53:2 (2012), 335–344
V. E. Fedorov, A. V. Panov, A. S. Karabaeva, “Symmetries of a class of quasilinear pseudoparabolic equations. Invariant solutions”, Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15, 90–111
74.
N. D. Ivanova, V. E. Fedorov, K. M. Komarova, “Nonlinear inverse problem for the Oskolkov system, linearized in a stationary solution neighborhood”, Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15, 49–70
M. V. Plekhanova, V. E. Fedorov, “On the existence and uniqueness of solutions of optimal control problems of linear distributed systems which are not solved with respect to the time derivative”, Izv. RAN. Ser. Mat., 75:2 (2011), 177–194; Izv. Math., 75:2 (2011), 395–412
V. E. Fedorov, M. V. Plekhanova, “The problem of start control for a class of semilinear distributed systems of Sobolev type”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011), 259–267; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S40–S48
V. E. Fedorov, “A class of second order Sobolev type equations and degenerate groups of operators”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 13, 59–75
2010
78.
V. E. Fedorov, P. N. Davydov, “Global solvability of some semilinear equations of Sobolev type”, Vestnik Chelyabinsk. Gos. Univ., 2010, no. 12, 80–87
2009
79.
A. V. Urazaeva, V. E. Fedorov, “On the Well-Posedness of the Prediction-Control Problem for Certain Systems of Equations”, Mat. Zametki, 85:3 (2009), 440–450; Math. Notes, 85:3 (2009), 426–436
V. E. Fedorov, “Properties od pseudoresolvents and conditions of the existence of degenerate operator semigroups”, Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11, 12–19
2008
81.
V. E. Fedorov, O. A. Ruzakova, “On solvability of perturbed Sobolev type equations”, Algebra i Analiz, 20:4 (2008), 189–217; St. Petersburg Math. J., 20:4 (2009), 645–664
V. E. Fedorov, “Holomorphic operator semigroups with strong degeneration”, Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10, 68–74
2005
83.
V. E. Fedorov, M. A. Sagadeeva, “Solutions, bounded on the line, of Sobolev-type linear equations with relatively sectorial operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 4, 81–84; Russian Math. (Iz. VUZ), 49:4 (2005), 77–80
V. E. Fedorov, “A generalization of the Hille–Yosida Theorem to the case of degenerate semigroups in locally convex spaces”, Sibirsk. Mat. Zh., 46:2 (2005), 426–448; Siberian Math. J., 46:2 (2005), 333–350
V. E. Fedorov, M. V. Plekhanova, “Optimal control of Sobolev type linear equations”, Differ. Uravn., 40:11 (2004), 1548–1556; Differ. Equ., 40:11 (2004), 1627–1637
V. E. Fedorov, “Strongly Holomorphic Groups of Linear Equations of Sobolev Type in Locally Convex Spaces”, Differ. Uravn., 40:5 (2004), 702–712; Differ. Equ., 40:5 (2004), 753–765
V. E. Fedorov, “Holomorphic solution semigroups for Sobolev-type equations in locally convex spaces”, Mat. Sb., 195:8 (2004), 131–160; Sb. Math., 195:8 (2004), 1205–1234
V. E. Fedorov, “Weak solutions of linear equations of Sobolev type and semigroups of operators”, Izv. RAN. Ser. Mat., 67:4 (2003), 171–188; Izv. Math., 67:4 (2003), 797–813
V. E. Fedorov, O. A. Ruzakova, “Controllability in Dimensions One and Two of Sobolev-Type Equations in Banach Spaces”, Mat. Zametki, 74:4 (2003), 618–628; Math. Notes, 74:4 (2003), 583–592
V. E. Fedorov, “Теорема Иосиды и разрешающие группы уравнений
соболевского типа в локально выпуклых пространствах”, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 9, 197–214
2002
91.
V. E. Fedorov, O. A. Ruzakova, “One-Dimensional Controllability of Sobolev Linear Equations in Hilbert Spaces”, Differ. Uravn., 38:8 (2002), 1137–1139; Differ. Equ., 38:8 (2002), 1216–1218
V. E. Fedorov, “Smoothness of Solutions of Linear Equations of Sobolev Type”, Differ. Uravn., 37:12 (2001), 1646–1649; Differ. Equ., 37:12 (2001), 1731–1735
V. E. Fedorov, “Degenerate strongly continuous semigroups of operators”, Algebra i Analiz, 12:3 (2000), 173–200; St. Petersburg Math. J., 12:3 (2001), 471–489
V. E. Fedorov, “О совпадении фазового пространства уравнения
соболевского типа с образом разрешающей группы в случае
существенно особой точки в бесконечности”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4, 198–202
G. A. Sviridyuk, V. E. Fedorov, “On units of analytic semigroups of operators with kernels”, Sibirsk. Mat. Zh., 39:3 (1998), 604–616; Siberian Math. J., 39:3 (1998), 522–533
V. E. Fedorov, “Генераторы аналитических групп с ядрами”, Vestnik Chelyabinsk. Gos. Univ., 1996, no. 3, 184–188
1995
101.
G. A. Sviridyuk, V. E. Fedorov, “Analytic semigroups with kernel and linear equations of Sobolev type”, Sibirsk. Mat. Zh., 36:5 (1995), 1130–1145; Siberian Math. J., 36:5 (1995), 973–987
Sh. A. Alimov, R. R. Ashurov, T. Sh. Kal'menov, B. E. Kanguzhin, V. V. Karachik, M. A. Sadybekov, A. M. Sarsenbi, D. Suragan, N. Tokmagambetov, B. T. Torebek, S. R. Umarov, V. E. Fedorov, “Batirkhan Khudaibergenovich Turmetov (to the 60th anniversary)”, Chelyab. Fiz.-Mat. Zh., 6:1 (2021), 5–8
2017
103.
S. M. Voronin, S. F. Dolbeeva, O. N. Dementiev, A. A. Ershov, M. G. Lepchinski, S. V. Matveev, N. B. Medvedeva, D. K. Potapov, E. A. Rozhdestvenskaya, E. A. Sbrodova, I. M. Sokolinskaya, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, “К 70-летию профессора Вячеслава Николаевича Павленко”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 383–387
104.
S. F. Dolbeeva, V. N. Pavlenko, S. V. Matveev, O. N. Dementiev, A. V. Mel'nikov, E. A. Sbrodova, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, E. A. Fominykh, A. A. Ershov, “Arlen Mikhaylovich Il’in. Towards 85th birthday”, Chelyab. Fiz.-Mat. Zh., 2:1 (2017), 5–9
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