01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
23.04.1923
Biography
Main publications:
A. A. Dezin, “Differential Operator Equations: A Method of Model Operators in the Theory of Boundary Value Problems”, Proc. Steklov Inst. Math., 229 (2000), 1–161
A. A. Dezin, Mnogomernyi analiz i diskretnye modeli, Nauka, M., 1990 , 240 pp.
A. A. Dezin, Obschie voprosy teorii granichnykh zadach, Nauka, M., 1980 , 208 pp.
A. A. Dezin, “Invariant differential operators and boundary-value problems”, Trudy Mat. Inst. Steklov., 68, Acad. Sci. USSR, Moscow, 1962, 3–88 , 88 pp.
A. V. Arutyunov, N. S. Bakhvalov, M. E. Bogovskii, V. S. Vladimirov, A. A. Dezin, V. A. Il'in, E. F. Mishchenko, V. P. Maslov, S. M. Nikol'skii, S. V. Uspenskii, V. M. Filippov, “Vera Nikolaevna Maslennikova (obituary)”, Russian Math. Surveys, 56:4 (2001), 739–743
2000
2.
A. A. Dezin, “Differential Operator Equations: A Method of Model Operators in the Theory of Boundary Value Problems”, Proc. Steklov Inst. Math., 229 (2000), 1–161
1998
3.
Differential Equations, 34:6 (1998), 786–795
4.
V. S. Vladimirov, A. A. Dezin, A. A. Karatsuba, L. D. Kudryavtsev, M. P. Mineev, S. M. Nikol'skii, L. P. Postnikova, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii, A. A. Yudin, “Aleksei Georgievich Postnikov (obituary)”, Russian Math. Surveys, 53:1 (1998), 199–204
1997
5.
Differential Equations, 33:1 (1997), 97–107
1995
6.
Dezin Aleksei A., Multidimensional analysis and discrete models, CRC Press, Boca Raton, FL, 1995 , viii+244 pp.
1994
7.
Differential Equations, 30:6 (1994), 948–957
1993
8.
Differential Equations, 29:5 (1993), 724–728
9.
I. V. Volovich, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavyalov, V. A. Il'in, V. M. Millionshchikov, V. N. Mikhailov, A. G. Sergeev, “Vladimirov Vasilii Sergeevich (70-th birthday tribute)”, Differential Equations, 29:2 (1993), 305–313
V. S. Vladimirov, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, V. I. Zav'yalov, V. M. Millionshchikov, “Valentin Petrovich Mikhaĭlov (on the occasion of his sixtieth birthday)”, Differentsial'nye Uravneniya, 27:4 (1991), 725–730
13.
V. S. Vladimirov, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, B. I. Zavialov, V. M. Millionshchikov, “Valentin Petrovich Mikhailov (on his sixtieth birthday)”, Russian Math. Surveys, 46:4 (1991), 207–209
1990
14.
A. A. Dezin, Mnogomernyi analiz i diskretnye modeli, Nauka, M., 1990 , 240 pp.
15.
Differential Equations, 26:1 (1990), 20–25
1988
16.
A. A. Dezin, “Discrete analogues of relations of mathematical hydrodynamics”, Siberian Math. J., 29:5 (1988), 765–770 (1989)
17.
Differential Equations, 24:1 (1988), 24–33
1987
18.
A. A. Dezin, “The two-dimensional Abel transform and applications”, Current problems in mathematical physics (Tbilisi, 1987), Vol. I, Tbilis. Gos. Univ., Tbilisi, 1987, 199–206
1988
19.
A. V. Bitsadze, V. S. Vinogradov, A. A. Dezin, V. A. Il'in, “Partial differential equations”, Proc. Steklov Inst. Math., 176 (1988), 263–300
1987
20.
A. A. Dezin, Partial differential equations, An introduction to a general theory of linear boundary value problems, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1987 , xii+165 pp.
A. A. Dezin, “Nonstandard problems”, Math. Notes, 41:3 (1987), 205–210
22.
M. E. Bogovskii, V. I. Burenkov, A. A. Dezin, V. P. Maslov, S. M. Nikol'skii, I. M. Petunin, S. L. Sobolev, “Vera Nikolaevna Maslennikova (on her sixtieth birthday)”, Russian Math. Surveys, 42:4 (1987), 187–189
23.
A. A. Dezin, “On problems for linear differential operations”, Math. USSR-Sb., 57:2 (1987), 411–419
1985
24.
A. A. Dezin, “Spectral characteristics of general boundary-value problems for operator $D^2$”, Math. Notes, 37:2 (1985), 142–146
1984
25.
A. A. Dezin, “Discrete models in mathematical physics”, Current problems in mathematical physics and numerical mathematics, Nauka, Moscow, 1984, 75–89
26.
A. A. Dezin, Uravneniya, operatory, spektry, Novoe v zhizni, nauke, tekhnike: Seriya “Matematika. Kibernetika”, 84, Znanie, M., 1984 , 63 pp.
1983
27.
A. A. Dezin, V. A. Il'in, “Partial differential equations”, Outlines of the development of mathematics in the USSR, Naukova Dumka, Kiev, 1983, 305–354
28.
A. A. Dezin, “Invariant forms and some structural properties of the hydrodynamic Euler equations”, Z. Anal. Anwendungen, 2:5 (1983), 401–409
A. A. Dezin, “Degenerate operator equations”, Math. USSR-Sb., 43:3 (1982), 287–298
1981
32.
V. S. Vladimirov, A. K. Guščin, A. A. Dezin, V. M. Millionščikov, L. S. Pontrjagin, “Valentin Petrovich Mikhaĭlov (on the occasion of his fiftieth birthday)”, Differentsial'nye Uravneniya, 17:4 (1981), 757–762
1980
33.
A. A. Dezin, Obschie voprosy teorii granichnykh zadach, Nauka, M., 1980 , 208 pp.
34.
A. A. Dezin, T. I. Zelenjak, V. N. Maslennikova, “Some mathematical problems in hydrodynamics”, Partial differential equations, Proc. Conf. (Novosibirsk, 1978), “Nauka” Sibirsk. Otdel., Novosibirsk, 1980, 21–31
1981
35.
A. A. Dezin, “On some systems of equations containing a small parameter”, Math. USSR-Sb., 39:3 (1981), 289–298
1978
36.
A. A. Dezin, “A class of vector fields”, Complex analysis and its applications, Nauka, Moscow, 1978, 203–208
37.
A. A. Dezin, “Second-order operator equations”, Siberian Math. J., 19:5 (1978), 730–737
38.
A. A. Dezin, “Weak and strong extensions of differential operators”, Math. Notes, 24:5 (1978), 867–873
1976
39.
A. A. Dezin, “On the general theory of boundary value problems”, Math. USSR-Sb., 29:2 (1976), 147–155
1975
40.
A. A. Dezin, “A combinatorial model of Euclidean space, and difference operators”, Siberian Math. J., 16:4 (1975), 536–545
1974
41.
A. A. Dezin, “A description of regular operators”, Dokl. Akad. Nauk SSSR, 219 (1974), 27–30
A. A. Dezin, “Finite models in quantum field theory”, Siberian Math. J., 14:6 (1973), 853–863
43.
A. A. Dezin, “A certain quantization model”, Siberian Math. J., 14:1 (1973), 29–35
44.
A. A. Dezin, “Natural differential operators and the separation of variables”, All-Union Symposium of Selected Questions of Partial Differential Equations (Prièlbrus, 1972), Differencial'nye Uravnenija, 9, 1973, 25–31
45.
A. A. Dezin, Differ. Uravn., 9:1 (1973), 25–31
1972
46.
A. A. Dezin, “Difference models of differential operators”, Application of functional methods to the boundary value problems of mathematical physics, Proc. Third Soviet-Czechoslovak Conf. (Novosibirsk, 1971), Inst. Mat. Akad. Nauk SSSR Sibirsk. Otdel., Novosibirsk, 1972, 50–54
47.
A. A. Dezin, “The spectrum of certain difference operators”, Siberian Math. J., 13:1 (1972), 61–66
1971
48.
A. A. Dezin, “Global solvability of multidimensional difference equations, and a construction of Spencer type”, Dokl. Akad. Nauk SSSR, 196 (1971), 28–31
1970
49.
A. A. Dezin, V. N. Maslennikova, “Nonclassical boundary value problems”, Partial differential equations, Proc. Sympos. dedicated to the 60th birthday of S. L. Sobolev, Nauka, Moscow, 1970, 81–95
50.
A. A. Dezin, “Certain models connected with Euler's equations”, Differencial'nye Uravnenija, 6 (1970), 17–26
A. A. Dezin, “The method of orthogonal expansions”, Siberian Math. J., 9:5 (1968), 788–797
53.
A. A. Dezin, “The nonexistence of certain solvable extensions”, Dokl. Akad. Nauk SSSR, 183 (1968), 507–510
54.
A. A. Dezin, N. P. Erugin, L. D. Kudryavtsev, Differ. Uravn., 4:9 (1968), 1724–1730
1967
55.
A. A. Dezin, “Operators involving a first derivative with respect to time and nonlocal boundary conditions”, Math. USSR-Izv., 1:1 (1967), 57–79
1966
56.
A. A. Dezin, “Partial differential equations: P. R. Garabedian, New York–London, John Willey and Sons, 1964, XII+672 pp.”, U.S.S.R. Comput. Math. Math. Phys., 6:5 (1966), 232–234
1965
57.
A. A. Dezin, “On the theory of operators of the type $d/dt-A$”, Dokl. Akad. Nauk SSSR, 164 (1965), 963–966
58.
A. A. Dezin, “On the theory of operators of the type $d/{dt}-\mathrm{A}$”, Dokl. Akad. Nauk SSSR, 164:5 (1965), 963–966
59.
A. A. Dezin, “Linear operators. Part II. Spectral theory. Selfadjoint operators in Hilbert space: N. Dunford and J. T. Schwartz, New York–London, Interscience Publication, Division of John Wiley & Sons, IX + 1923 pp. + 7 pp. errats. to part I. 1964. Book review”, U.S.S.R. Comput. Math. Math. Phys., 5:5 (1965), 283–284
60.
A. A. Dezin, “L. Beps, F. Dzhon, M. Shekhter. Uravneniya s chastnymi proizvodnymi. (Retsenziya)”, Zh. vychisl. matem. i matem. fiz., 5:4 (1965), 781–782
1963
61.
A. A. Dezin, “On the solvable extensions of partial differential operators”, Outlines Joint Sympos. Partial Differential Equations (Novosibirsk, 1963), Acad. Sci. USSR Siberian Branch, Moscow, 1963, 65–66
62.
A. A. Dezin, “The simplest solvable extensions for ultra-hyperbolic and pseudo-hyperbolic operators”, Dokl. Akad. Nauk SSSR, 148 (1963), 1013–1016
A. A. Dezin, “Invariant differential operators and boundary-value problems”, Trudy Mat. Inst. Steklov., 68, Acad. Sci. USSR, Moscow, 1962, 3–88 , 88 pp.
1961
64.
A. A. Dezin, “Invariant hyperbolic systems and the Goursat problem”, Soviet Math. Dokl., 1 (1961), 1340–1343
65.
A. A. Dezin, “The index in boundary-value problems for invariant elliptic systems.”, Dokl. Akad. Nauk SSSR, 141 (1961), 535–538
66.
A. A. Dezin, “Certain types of invariant systems of simplest structure”, Dokl. Akad. Nauk SSSR, 137 (1961), 1038–1041
1960
67.
A. A. Dezin, “Invariant elliptic systems of equations”, Sibirsk. Mat. Ž., 1 (1960), 578–608
68.
A. A. Dezin, “Systems of the first order defined on a Riemannian manifold”, Soviet Math. Dokl., 1 (1960), 141–143
69.
A. A. Dezin, “Boundary value problems for invariant elliptic systems”, Soviet Math. Dokl., 1 (1960), 753–756
70.
A. A. Dezin, “Boundary value problems for invariant elliptic systems”, Dokl. Akad. Nauk SSSR, 132:6 (1960), 1246–1249
71.
A. A. Dezin, “Invariant hyperbolic systems and the Goursat problem”, Dokl. Akad. Nauk SSSR, 135:5 (1960), 1042–1045
72.
A. A. Dezin, “Systems of the first order defined on a Riemannian manifold”, Dokl. Akad. Nauk SSSR, 130:6 (1960), 1183–1185
1959
73.
A. A. Dezin, “A special system of equations”, Dokl. Akad. Nauk SSSR, 127 (1959), 497–500
74.
A. A. Dezin, “Existence and uniqueness theorems for solutions of boundary problems for partial differential equations in function spaces”, Uspekhi Mat. Nauk, 14:3(87) (1959), 21–73
75.
A. A. Dezin, “Boundary value problems for certain symmetric linear first order systems”, Mat. Sb. (N.S.), 49(91):4 (1959), 459–484
1958
76.
A. A. Dezin, “A correctly formulated boundary value problem for certain non-classical operators”, Dokl. Akad. Nauk SSSR, 123 (1958), 595–598
77.
A. A. Dezin, “Symmetric energy inequalities and a mixed problem”, Dokl. Akad. Nauk SSSR (N.S.), 119 (1958), 425–428
1956
78.
A. A. Dezin, “Mixed problems for certain parabolic systems”, Dokl. Akad. Nauk SSSR (N.S.), 110 (1956), 503–506
79.
A. A. Dezin, “Concerning solvable extensions of the first order partial linear differential operators”, Dokl. Akad. Nauk SSSR (N.S.), 110 (1956), 11–14
80.
A. A. Dezin, “Mixed problems for certain symmetric hyperbolic systems”, Dokl. Akad. Nauk SSSR (N.S.), 107 (1956), 13–16
1954
81.
Dezin A. A., “The second boundary problem for the polyharmonic equation in the space $W_2^m$”, Doklady Akad. Nauk SSSR (N.S.), 96 (1954), 901–903
1953
82.
A. A. Dezin, “On imbedding theorems and the problem of continuation of functions”, Doklady Akad. Nauk SSSR (N.S.), 88 (1953), 741–743
Books in Math-Net.Ru
A. A. Dezin, Differential operator equations. A method of model operators in the theory of boundary value problems, Trudy Mat. Inst. Steklova, 229, ed. V. S. Vladimirov, E. F. Mishchenko, 2000, 176 ñ. http://mi.mathnet.ru/book242
A. A. Dezin, Invariant differential operators and boundary-value problems, Trudy Mat. Inst. Steklov., 68, ed. I. G. Petrovskii, 1962, 88 ñ. http://mi.mathnet.ru/book1137