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Dezin, Aleksei Alekseevich
(1923–2008)
Total publications: 82 (71)
in MathSciNet: 93 (85)
in zbMATH: 57 (53)
in Web of Science: 22 (17)
in Scopus: 18 (17)
Cited articles: 26
Citations: 122

Number of views:
This page:3238
Abstract pages:15787
Full texts:7844
References:545
Professor
Doctor of physico-mathematical sciences (1961)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 23.04.1923

Biography

   
Main publications:
  1. 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  mathnet  mathscinet  zmath  zmath
  2. A. A. Dezin, Mnogomernyi analiz i diskretnye modeli, Nauka, M., 1990 , 240 pp.  mathscinet  zmath
  3. A. A. Dezin, Obschie voprosy teorii granichnykh zadach, Nauka, M., 1980 , 208 pp.  mathscinet  zmath
  4. A. A. Dezin, “Invariant differential operators and boundary-value problems”, Trudy Mat. Inst. Steklov., 68, Acad. Sci. USSR, Moscow, 1962, 3–88 , 88 pp.  mathnet  mathscinet  zmath

https://www.mathnet.ru/eng/person17507
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:dezin.aleksej-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/195757
https://elibrary.ru/author_items.asp?authorid=3620

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles
1. 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  mathnet  mathscinet  zmath  zmath
2. Differential Equations, 34:6 (1998), 786–795  mathnet  mathscinet  zmath  isi  scopus
3. Differential Equations, 33:1 (1997), 97–107  mathnet  mathscinet  zmath  isi  scopus
4. Differential Equations, 30:6 (1994), 948–957  mathnet  mathscinet  zmath  isi
5. Differential Equations, 29:5 (1993), 724–728  mathnet  mathscinet  zmath  isi
6. Differential Equations, 28:1 (1992), 50–57  mathnet  mathscinet  zmath  zmath  isi
7. Russian Acad. Sci. Dokl. Math., 45:2 (1992), 467–469 miscnote 1993  mathnet  mathscinet  zmath  isi
8. Differential Equations, 26:1 (1990), 20–25  mathnet  mathscinet  zmath  isi
9. A. A. Dezin, “Discrete analogues of relations of mathematical hydrodynamics”, Siberian Math. J., 29:5 (1988), 765–770 (1989)  mathnet  crossref  mathscinet  mathscinet  isi  isi  scopus
10. Differential Equations, 24:1 (1988), 24–33  mathnet  mathscinet  zmath  isi
11. 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  mathscinet  adsnasa
12. A. V. Bitsadze, V. S. Vinogradov, A. A. Dezin, V. A. Il'in, “Partial differential equations”, Proc. Steklov Inst. Math., 176 (1988), 263–300  mathnet  mathscinet  zmath
13. A. A. Dezin, “Nonstandard problems”, Math. Notes, 41:3 (1987), 205–210  mathnet  crossref  mathscinet  zmath  isi  scopus
14. A. A. Dezin, “On problems for linear differential operations”, Math. USSR-Sb., 57:2 (1987), 411–419  mathnet  crossref  mathscinet  zmath  scopus
15. A. A. Dezin, “Spectral characteristics of general boundary-value problems for operator $D^2$”, Math. Notes, 37:2 (1985), 142–146  mathnet  crossref  mathscinet  zmath  isi  scopus
16. A. A. Dezin, “Discrete models in mathematical physics”, Current problems in mathematical physics and numerical mathematics, Nauka, Moscow, 1984, 75–89  mathscinet
17. 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  mathscinet
18. A. A. Dezin, “Invariant forms and some structural properties of the hydrodynamic Euler equations”, Z. Anal. Anwendungen, 2:5 (1983), 401–409  crossref  mathscinet  zmath 13
19. A. A. Dezin, “Overdetermined boundary value problems”, Siberian Math. J., 24:5 (1983), 681–685  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus
20. A. A. Dezin, “On weak and strong irregularity”, Differentsial'nye Uravneniya, 17:10 (1981), 1851–1858  mathnet  mathscinet  zmath 4
21. A. A. Dezin, “Degenerate operator equations”, Math. USSR-Sb., 43:3 (1982), 287–298  mathnet  crossref  mathscinet  zmath  scopus
22. 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  mathscinet
23. A. A. Dezin, “On some systems of equations containing a small parameter”, Math. USSR-Sb., 39:3 (1981), 289–298  mathnet  crossref  mathscinet  zmath  isi  scopus
24. A. A. Dezin, “A class of vector fields”, Complex analysis and its applications, Nauka, Moscow, 1978, 203–208  mathscinet
25. A. A. Dezin, “Second-order operator equations”, Siberian Math. J., 19:5 (1978), 730–737  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus
26. A. A. Dezin, “Weak and strong extensions of differential operators”, Math. Notes, 24:5 (1978), 867–873  mathnet  crossref  mathscinet  zmath  scopus
27. A. A. Dezin, “On the general theory of boundary value problems”, Math. USSR-Sb., 29:2 (1976), 147–155  mathnet  crossref  mathscinet  zmath  isi  scopus
28. A. A. Dezin, “A combinatorial model of Euclidean space, and difference operators”, Siberian Math. J., 16:4 (1975), 536–545  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus
29. A. A. Dezin, “A description of regular operators”, Dokl. Akad. Nauk SSSR, 219 (1974), 27–30  mathnet  mathscinet  mathscinet  zmath 1
30. A. A. Dezin, “Finite models in quantum field theory”, Siberian Math. J., 14:6 (1973), 853–863  mathnet  crossref  mathscinet  mathscinet  scopus
31. A. A. Dezin, “A certain quantization model”, Siberian Math. J., 14:1 (1973), 29–35  mathnet  crossref  mathscinet  mathscinet  scopus
32. 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  mathnet  mathscinet  zmath
33. A. A. Dezin, Differ. Uravn., 9:1 (1973), 25–31  mathnet  mathscinet  zmath
34. 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  mathscinet
35. A. A. Dezin, “The spectrum of certain difference operators”, Siberian Math. J., 13:1 (1972), 61–66  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
36. A. A. Dezin, “Global solvability of multidimensional difference equations, and a construction of Spencer type”, Dokl. Akad. Nauk SSSR, 196 (1971), 28–31  mathnet  mathscinet  mathscinet  zmath
37. 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  mathscinet
38. A. A. Dezin, “Certain models connected with Euler's equations”, Differencial'nye Uravnenija, 6 (1970), 17–26  mathnet  mathscinet  zmath 2
39. A. A. Dezin, Differ. Uravn., 6:1 (1970), 17–26  mathnet  mathscinet  zmath
40. A. A. Dezin, “The method of orthogonal expansions”, Siberian Math. J., 9:5 (1968), 788–797  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
41. A. A. Dezin, “The nonexistence of certain solvable extensions”, Dokl. Akad. Nauk SSSR, 183 (1968), 507–510  mathnet  mathscinet  mathscinet  zmath
42. A. A. Dezin, “Operators involving a first derivative with respect to time and nonlocal boundary conditions”, Math. USSR-Izv., 1:1 (1967), 57–79  mathnet  crossref  mathscinet  zmath
43. A. A. Dezin, “On the theory of operators of the type $d/dt-A$”, Dokl. Akad. Nauk SSSR, 164 (1965), 963–966  mathnet  mathscinet  zmath
44. A. A. Dezin, “On the theory of operators of the type $d/{dt}-\mathrm{A}$”, Dokl. Akad. Nauk SSSR, 164:5 (1965), 963–966  mathnet  mathscinet  zmath
45. 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  mathscinet
46. A. A. Dezin, “The simplest solvable extensions for ultra-hyperbolic and pseudo-hyperbolic operators”, Dokl. Akad. Nauk SSSR, 148 (1963), 1013–1016  mathnet  mathscinet  mathscinet  zmath 7
47. A. A. Dezin, “Invariant hyperbolic systems and the Goursat problem”, Soviet Math. Dokl., 1 (1961), 1340–1343  mathscinet  zmath
48. A. A. Dezin, “The index in boundary-value problems for invariant elliptic systems.”, Dokl. Akad. Nauk SSSR, 141 (1961), 535–538  mathnet  mathscinet  mathscinet  zmath
49. A. A. Dezin, “Certain types of invariant systems of simplest structure”, Dokl. Akad. Nauk SSSR, 137 (1961), 1038–1041  mathnet  mathscinet  mathscinet  zmath
50. A. A. Dezin, “Invariant elliptic systems of equations”, Sibirsk. Mat. Ž., 1 (1960), 578–608  mathnet  mathscinet  mathscinet  zmath
51. A. A. Dezin, “Systems of the first order defined on a Riemannian manifold”, Soviet Math. Dokl., 1 (1960), 141–143  mathscinet  zmath
52. A. A. Dezin, “Boundary value problems for invariant elliptic systems”, Soviet Math. Dokl., 1 (1960), 753–756  mathscinet  zmath
53. A. A. Dezin, “Boundary value problems for invariant elliptic systems”, Dokl. Akad. Nauk SSSR, 132:6 (1960), 1246–1249  mathnet  mathscinet  zmath
54. A. A. Dezin, “Invariant hyperbolic systems and the Goursat problem”, Dokl. Akad. Nauk SSSR, 135:5 (1960), 1042–1045  mathnet  mathscinet  zmath
55. A. A. Dezin, “Systems of the first order defined on a Riemannian manifold”, Dokl. Akad. Nauk SSSR, 130:6 (1960), 1183–1185  mathnet  mathscinet  zmath
56. A. A. Dezin, “A special system of equations”, Dokl. Akad. Nauk SSSR, 127 (1959), 497–500  mathscinet
57. 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  mathnet  mathscinet  zmath
58. A. A. Dezin, “Boundary value problems for certain symmetric linear first order systems”, Mat. Sb. (N.S.), 49(91):4 (1959), 459–484  mathnet  zmath
59. A. A. Dezin, “A correctly formulated boundary value problem for certain non-classical operators”, Dokl. Akad. Nauk SSSR, 123 (1958), 595–598  mathnet  mathscinet  mathscinet  zmath
60. A. A. Dezin, “Symmetric energy inequalities and a mixed problem”, Dokl. Akad. Nauk SSSR (N.S.), 119 (1958), 425–428  mathnet  mathscinet  mathscinet  zmath
61. A. A. Dezin, “Mixed problems for certain parabolic systems”, Dokl. Akad. Nauk SSSR (N.S.), 110 (1956), 503–506  mathscinet  zmath
62. A. A. Dezin, “Concerning solvable extensions of the first order partial linear differential operators”, Dokl. Akad. Nauk SSSR (N.S.), 110 (1956), 11–14  mathscinet  zmath
63. A. A. Dezin, “Mixed problems for certain symmetric hyperbolic systems”, Dokl. Akad. Nauk SSSR (N.S.), 107 (1956), 13–16  mathscinet  zmath
64. 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  mathscinet  zmath
65. A. A. Dezin, “On imbedding theorems and the problem of continuation of functions”, Doklady Akad. Nauk SSSR (N.S.), 88 (1953), 741–743  mathscinet  zmath

Books
66. Dezin Aleksei A., Multidimensional analysis and discrete models, CRC Press, Boca Raton, FL, 1995 , viii+244 pp.  mathscinet  zmath
67. A. A. Dezin, Mnogomernyi analiz i diskretnye modeli, Nauka, M., 1990 , 240 pp.  mathscinet  zmath
68. 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.  crossref  mathscinet 8
69. A. A. Dezin, Uravneniya, operatory, spektry, Novoe v zhizni, nauke, tekhnike: Seriya “Matematika. Kibernetika”, 84, Znanie, M., 1984 , 63 pp.  mathscinet
70. A. A. Dezin, Obschie voprosy teorii granichnykh zadach, Nauka, M., 1980 , 208 pp.  mathscinet  zmath
71. A. A. Dezin, “Invariant differential operators and boundary-value problems”, Trudy Mat. Inst. Steklov., 68, Acad. Sci. USSR, Moscow, 1962, 3–88 , 88 pp.  mathnet  mathscinet  zmath

Personalia
72. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
73. 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  mathnet  crossref  crossref  mathscinet  zmath  isi
74. 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  mathnet  mathscinet  isi
75. 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  mathnet  mathscinet  mathscinet
76. 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  mathnet  crossref  mathscinet  adsnasa  isi  scopus
77. 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  mathnet  crossref  mathscinet  adsnasa  isi
78. 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  mathnet  mathscinet  zmath
79. A. A. Dezin, N. P. Erugin, L. D. Kudryavtsev, Differ. Uravn., 4:9 (1968), 1724–1730  mathnet  zmath

Critic, bibliography
80. 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  mathnet  crossref
81. 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  mathnet  crossref
82. 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  mathnet

Books in Math-Net.Ru
  1. 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
  2. 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

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