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. 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
2.
Differential Equations, 34:6 (1998), 786–795
1997
3.
Differential Equations, 33:1 (1997), 97–107
1995
4.
Dezin Aleksei A., Multidimensional analysis and discrete models, CRC Press, Boca Raton, FL, 1995 , viii+244 pp.
A. A. Dezin, Mnogomernyi analiz i diskretnye modeli, Nauka, M., 1990 , 240 pp.
10.
Differential Equations, 26:1 (1990), 20–25
1988
11.
A. A. Dezin, “Discrete analogues of relations of mathematical hydrodynamics”, Siberian Math. J., 29:5 (1988), 765–770 (1989)
12.
Differential Equations, 24:1 (1988), 24–33
1987
13.
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
14.
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
15.
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, “Degenerate operator equations”, Math. USSR-Sb., 43:3 (1982), 287–298
1980
26.
A. A. Dezin, Obschie voprosy teorii granichnykh zadach, Nauka, M., 1980 , 208 pp.
27.
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
28.
A. A. Dezin, “On some systems of equations containing a small parameter”, Math. USSR-Sb., 39:3 (1981), 289–298
1978
29.
A. A. Dezin, “A class of vector fields”, Complex analysis and its applications, Nauka, Moscow, 1978, 203–208
30.
A. A. Dezin, “Second-order operator equations”, Siberian Math. J., 19:5 (1978), 730–737
31.
A. A. Dezin, “Weak and strong extensions of differential operators”, Math. Notes, 24:5 (1978), 867–873
1976
32.
A. A. Dezin, “On the general theory of boundary value problems”, Math. USSR-Sb., 29:2 (1976), 147–155
1975
33.
A. A. Dezin, “A combinatorial model of Euclidean space, and difference operators”, Siberian Math. J., 16:4 (1975), 536–545
1974
34.
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
36.
A. A. Dezin, “A certain quantization model”, Siberian Math. J., 14:1 (1973), 29–35
37.
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
38.
A. A. Dezin, Differ. Uravn., 9:1 (1973), 25–31
1972
39.
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
40.
A. A. Dezin, “The spectrum of certain difference operators”, Siberian Math. J., 13:1 (1972), 61–66
1971
41.
A. A. Dezin, “Global solvability of multidimensional difference equations, and a construction of Spencer type”, Dokl. Akad. Nauk SSSR, 196 (1971), 28–31
1970
42.
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
43.
A. A. Dezin, “Certain models connected with Euler's equations”, Differencial'nye Uravnenija, 6 (1970), 17–26
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
53.
A. A. Dezin, “Invariant hyperbolic systems and the Goursat problem”, Soviet Math. Dokl., 1 (1961), 1340–1343
54.
A. A. Dezin, “The index in boundary-value problems for invariant elliptic systems.”, Dokl. Akad. Nauk SSSR, 141 (1961), 535–538
55.
A. A. Dezin, “Certain types of invariant systems of simplest structure”, Dokl. Akad. Nauk SSSR, 137 (1961), 1038–1041
1960
56.
A. A. Dezin, “Invariant elliptic systems of equations”, Sibirsk. Mat. Ž., 1 (1960), 578–608
57.
A. A. Dezin, “Systems of the first order defined on a Riemannian manifold”, Soviet Math. Dokl., 1 (1960), 141–143
58.
A. A. Dezin, “Boundary value problems for invariant elliptic systems”, Soviet Math. Dokl., 1 (1960), 753–756
59.
A. A. Dezin, “Boundary value problems for invariant elliptic systems”, Dokl. Akad. Nauk SSSR, 132:6 (1960), 1246–1249
60.
A. A. Dezin, “Invariant hyperbolic systems and the Goursat problem”, Dokl. Akad. Nauk SSSR, 135:5 (1960), 1042–1045
61.
A. A. Dezin, “Systems of the first order defined on a Riemannian manifold”, Dokl. Akad. Nauk SSSR, 130:6 (1960), 1183–1185
1959
62.
A. A. Dezin, “A special system of equations”, Dokl. Akad. Nauk SSSR, 127 (1959), 497–500
63.
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
64.
A. A. Dezin, “Boundary value problems for certain symmetric linear first order systems”, Mat. Sb. (N.S.), 49(91):4 (1959), 459–484
1958
65.
A. A. Dezin, “A correctly formulated boundary value problem for certain non-classical operators”, Dokl. Akad. Nauk SSSR, 123 (1958), 595–598
66.
A. A. Dezin, “Symmetric energy inequalities and a mixed problem”, Dokl. Akad. Nauk SSSR (N.S.), 119 (1958), 425–428
1956
67.
A. A. Dezin, “Mixed problems for certain parabolic systems”, Dokl. Akad. Nauk SSSR (N.S.), 110 (1956), 503–506
68.
A. A. Dezin, “Concerning solvable extensions of the first order partial linear differential operators”, Dokl. Akad. Nauk SSSR (N.S.), 110 (1956), 11–14
69.
A. A. Dezin, “Mixed problems for certain symmetric hyperbolic systems”, Dokl. Akad. Nauk SSSR (N.S.), 107 (1956), 13–16
1954
70.
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
71.
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