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Yanushauskas, Algimantas Ionasovich
Professor
Doctor of physico-mathematical sciences (1972)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 2.01.1935
Website: https://www.nsu.ru/n/mathematics-mechanics-department/departments/kafdiffeq/former-staff/#ask_question
   
Main publications:
  • Trekhmernye analogi konformnykh otobrazhenii / A. I. Yanushauskas; Otv. red. A. V. Sychev. - Novosibirsk : Nauka : Sib. otd-nie, 1982. - 176 s.
  • Zadacha o naklonnoi proizvodnoi teorii potentsiala / A. I. Yanushauskas; Otv. red. D. K. Gvazava. - Novosibirsk : Nauka : Sib. otd-nie, 1985. - 262 s.
  • Kratnye trigonometricheskie ryady / A. I. Yanushauskas; Otv. red. A. V. Sychev; AN SSSR, Sib. otd-nie, In-t matematiki. - Novosibirsk : Nauka : Sib. otd-nie, 1986. - 271 s.
  • Granichnye zadachi dlya ellipticheskikh uravnenii v chastnykh proizvodnykh i integro-differentsialnye uravneniya / A. I. Yanushauskas. - Irkutsk : Izd-vo Irkut. un-ta, 1997. - 168 s.; ISBN 5-7430-0696-2

https://www.mathnet.ru/eng/person28219
List of publications on Google Scholar
https://zbmath.org/authors/ai:yanushauskas.algimantas-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/185360

Publications in Math-Net.Ru Citations
1999
1. A. I. Yanushauskas, “The Dirichlet problem for some Petrovskij elliptic system generalizing the system of elasticity”, Sibirsk. Mat. Zh., 40:6 (1999),  1441–1455  mathnet  mathscinet  zmath; Siberian Math. J., 40:6 (1999), 1230–1243  isi
2. A. I. Yanushauskas, “The Dirichlet problem for a Petrovskii-elliptic system of second-order equations”, Sibirsk. Mat. Zh., 40:1 (1999),  226–234  mathnet  mathscinet  zmath; Siberian Math. J., 40:1 (1999), 195–203  isi
1998
3. A. I. Yanushauskas, “The Dirichlet problem for a Petrovskii-elliptic system of an even number of second-order equations”, Sibirsk. Mat. Zh., 39:6 (1998),  1435–1443  mathnet  mathscinet  zmath; Siberian Math. J., 39:6 (1998), 1243–1251  isi
1996
4. A. Yanushauskas, “On the Fredholm property of the Dirichlet problem for a system of second-order partial differential equations that is elliptic in the sense of Petrovskii”, Dokl. Akad. Nauk, 346:2 (1996),  165–167  mathnet  mathscinet  zmath
1995
5. A. Yanushauskas, “On a class of systems of equations that are homotopic to a multidimensional analogue of the A. V. Bitsadze system”, Differ. Uravn., 31:1 (1995),  146–152  mathnet  mathscinet; Differ. Equ., 31:1 (1995), 131–136
1994
6. A. I. Yanushauskas, “The dependence of the domain of regularity of the solution of the Cauchy problem on the domain of holomorphy of the initial data”, Dokl. Akad. Nauk, 338:5 (1994),  604–606  mathnet  mathscinet  zmath; Dokl. Math., 50:2 (1995), 321–324
1991
7. A. Yanushauskas, “On the oblique derivative problem for harmonic functions that are regular in a half-space”, Differ. Uravn., 27:11 (1991),  1947–1958  mathnet  mathscinet  zmath; Differ. Equ., 27:11 (1991), 1389–1398
1989
8. A. I. Yanushauskas, “A class of integro-differential equations”, Dokl. Akad. Nauk SSSR, 305:3 (1989),  545–547  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 329–331
9. A. Yanushauskas, “Some boundary value problems for elliptic equations whose order degenerates”, Differ. Uravn., 25:6 (1989),  1035–1042  mathnet  mathscinet; Differ. Equ., 25:6 (1989), 766–772
10. A. Yanushauskas, “An integro-differential operator of potential theory”, Differ. Uravn., 25:2 (1989),  325–329  mathnet  mathscinet  zmath; Differ. Equ., 25:2 (1989), 243–246
1987
11. A. Yanushauskas, “The formulation of well-posed boundary value problems for a class of systems of evolution type”, Differ. Uravn., 23:9 (1987),  1613–1617  mathnet  mathscinet
1986
12. A. Yanushauskas, “On non-strongly-elliptic systems of second-order partial differential equations”, Differ. Uravn., 22:11 (1986),  1984–1990  mathnet  mathscinet
1985
13. A. I. Yanushauskas, “The effect of lower-order terms on the formulation of boundary value problems for a system of first-order partial differential equations”, Sibirsk. Mat. Zh., 26:2 (1985),  187–191  mathnet  mathscinet  zmath; Siberian Math. J., 26:2 (1985), 309–313  isi
1984
14. A. Yanushauskas, “Multidimensional strongly connected elliptic systems of partial differential equations”, Differ. Uravn., 20:1 (1984),  162–167  mathnet  mathscinet
1983
15. A. Yanushauskas, “A type of degeneration of elliptic systems”, Differ. Uravn., 19:1 (1983),  152–160  mathnet  mathscinet
16. A. I. Yanushauskas, “A class of mappings connected with the wave equation”, Sibirsk. Mat. Zh., 24:6 (1983),  206–208  mathnet  mathscinet  zmath
17. A. I. Yanushauskas, “On the Cauchy problem for a degenerate hyperbolic system”, Sibirsk. Mat. Zh., 24:5 (1983),  211–214  mathnet  mathscinet  zmath; Siberian Math. J., 24:5 (1983), 818–821  isi
1982
18. A. Yanushauskas, “Some generalizations of a holomorphic vector”, Differ. Uravn., 18:4 (1982),  699–705  mathnet  mathscinet  zmath
1981
19. A. I. Yanushauskas, “On the well-posed property of boundary value problems for multidimensional equations of mixed type”, Dokl. Akad. Nauk SSSR, 257:4 (1981),  834–836  mathnet  mathscinet  zmath
20. A. Yanushauskas, “Structural properties of solutions of some analytic partial differential equations”, Differ. Uravn., 17:1 (1981),  182–194  mathnet  mathscinet  zmath
1980
21. A. I. Yanushauskas, “Pseudoregular singularities of solutions of degenerate elliptic equations”, Dokl. Akad. Nauk SSSR, 252:6 (1980),  1337–1340  mathnet  mathscinet  zmath
22. A. Yanushauskas, “On the question of the well-posedness of boundary value problems for systems of second-order partial differential equations”, Differ. Uravn., 16:1 (1980),  150–160  mathnet  mathscinet  zmath
23. A. I. Yanushauskas, “On Lewy's theorem on Hessian zeros of a harmonic function”, Sibirsk. Mat. Zh., 21:6 (1980),  146–152  mathnet  mathscinet  zmath; Siberian Math. J., 21:6 (1980), 861–865  isi
24. A. Yanushauskas, “On the theory of multidimensional elliptic systems”, Sibirsk. Mat. Zh., 21:2 (1980),  223–231  mathnet  mathscinet  zmath; Siberian Math. J., 21:2 (1980), 312–318  isi 2
1979
25. A. I. Yanushauskas, “Some systems of second-order partial differential equations”, Differ. Uravn., 15:1 (1979),  159–167  mathnet  mathscinet  zmath
1978
26. A. Yanushauskas, “On a three-dimensional analog of Beltrami's system”, Dokl. Akad. Nauk SSSR, 243:3 (1978),  592–595  mathnet  mathscinet  zmath
27. A. Yanushauskas, “Summability of multiple power series”, Dokl. Akad. Nauk SSSR, 243:2 (1978),  287–290  mathnet  mathscinet  zmath
28. A. Yanushauskas, “On a multidimensional analogue of the system of A. V. Bicadze”, Dokl. Akad. Nauk SSSR, 238:4 (1978),  816–819  mathnet  mathscinet  zmath 1
29. A. Yanushauskas, “Analytic continuation of the sum of an axially symmetric Laplace series as a function of the arithmetic properties of the coefficients”, Differ. Uravn., 14:1 (1978),  160–166  mathnet  mathscinet  zmath
30. A. Yanushauskas, “An analogue of the conformal radius”, Sibirsk. Mat. Zh., 19:1 (1978),  217–224  mathnet  mathscinet  zmath; Siberian Math. J., 19:1 (1978), 154–160  isi
1977
31. A. Yanushauskas, “On the coefficients of harmonic functions that are positive in the unit ball”, Dokl. Akad. Nauk SSSR, 234:4 (1977),  776–779  mathnet  mathscinet  zmath
32. A. I. Yanushauskas, “Elementary theorems on the convergence of double Dirichlet series”, Dokl. Akad. Nauk SSSR, 234:1 (1977),  34–37  mathnet  mathscinet  zmath
33. A. Yanushauskas, “Direct methods for studying the singularities of the sums of Laplace series that lie on the boundary of a ball of convergence”, Differ. Uravn., 13:2 (1977),  344–357  mathnet  mathscinet  zmath
34. A. Yanushauskas, “Axially symmetric Laplace series”, Sibirsk. Mat. Zh., 18:2 (1977),  444–454  mathnet  mathscinet  zmath; Siberian Math. J., 18:2 (1977), 318–326  isi 1
1976
35. A. I. Yanushauskas, “Global methods of studying the oblique derivative problem for elliptic equations”, Differ. Uravn., 12:1 (1976),  159–171  mathnet  mathscinet  zmath
36. A. Yanushauskas, “On the theory of elliptic equations in which the coefficients of the lower derivatives have higher order singularities”, Sibirsk. Mat. Zh., 17:5 (1976),  1177–1187  mathnet  mathscinet  zmath; Siberian Math. J., 17:5 (1976), 870–877  isi 1
37. A. Yanushauskas, “A certain nonlinear system of first order differential equations”, Sibirsk. Mat. Zh., 17:2 (1976),  474–476  mathnet  mathscinet  zmath; Siberian Math. J., 17:2 (1976), 370–372  isi
1975
38. A. Yanushauskas, “Some questions on the distribution of the critical points of harmonic polynomials in three variables”, Differ. Uravn., 11:1 (1975),  170–175  mathnet  mathscinet  zmath
39. A. Yanushauskas, “On the Cauchy problem for the Laplace equation with three independent variables”, Sibirsk. Mat. Zh., 16:6 (1975),  1352–1363  mathnet  mathscinet  zmath; Siberian Math. J., 16:6 (1975), 1040–1048  isi 1
40. A. Yanushauskas, “Mappings of three-dimensional domains that are realized by harmonic functions”, Sibirsk. Mat. Zh., 16:5 (1975),  1124–1126  mathnet  mathscinet  zmath; Siberian Math. J., 16:5 (1975), 865–867  isi
41. A. Yanushauskas, “Critical points of the Green's function of the exterior of a convex domain”, Sibirsk. Mat. Zh., 16:5 (1975),  1103–1109  mathnet  mathscinet  zmath; Siberian Math. J., 16:5 (1975), 846–851  isi
42. A. Yanushauskas, “On the problem of the oblique derivative for elliptic equations”, Sibirsk. Mat. Zh., 16:2 (1975),  405–408  mathnet  mathscinet  zmath; Siberian Math. J., 16:2 (1975), 314–316  isi 1
1974
43. A. Yanushauskas, “A certain boundary value problem for a system of harmonic functions”, Differ. Uravn., 10:1 (1974),  174–177  mathnet  mathscinet  zmath
44. A. Yanushauskas, “On the theory of degenerate elliptic equations”, Sibirsk. Mat. Zh., 15:6 (1974),  1394–1405  mathnet  mathscinet  zmath; Siberian Math. J., 15:6 (1974), 988–996
45. A. Yanushauskas, “The minimum of the scalar square of the gradient of a harmonic function”, Sibirsk. Mat. Zh., 15:5 (1974),  1157–1162  mathnet  mathscinet  zmath; Siberian Math. J., 15:5 (1974), 813–816
1973
46. A. Yanushauskas, “Singular points of harmonic mappings”, Dokl. Akad. Nauk SSSR, 212:4 (1973),  828–830  mathnet  mathscinet  zmath
47. A. Yanushauskas, “The problem of the oblique derivative with polynomial coefficients”, Dokl. Akad. Nauk SSSR, 208:3 (1973),  555–557  mathnet  mathscinet  zmath
48. A. Yanushauskas, “The completeness of special families of solutions of degenerate equations”, Differ. Uravn., 9:2 (1973),  343–348  mathnet  mathscinet  zmath
49. A. I. Yanushauskas, “Series in powers of one variable that satisfy partial differential equations”, Differ. Uravn., 9:1 (1973),  189–191  mathnet  mathscinet  zmath
50. A. Yanushauskas, “A certain first order system”, Sibirsk. Mat. Zh., 14:5 (1973),  1149–1152  mathnet  mathscinet  zmath; Siberian Math. J., 14:5 (1973), 804–806
51. A. Yanushauskas, “The level surfaces of a harmonic function”, Sibirsk. Mat. Zh., 14:2 (1973),  442–449  mathnet  mathscinet  zmath; Siberian Math. J., 14:2 (1973), 305–309
1972
52. A. Yanushauskas, “Harmonic mappings of domains bounded by spheres”, Dokl. Akad. Nauk SSSR, 205:6 (1972),  1313–1315  mathnet  mathscinet  zmath
53. A. Yanushauskas, “A reduction of a directional derivative problem”, Dokl. Akad. Nauk SSSR, 203:5 (1972),  1014–1017  mathnet  mathscinet  zmath
54. A. Yanushauskas, “Reduction of the problem of the oblique derivative to a Fredholm integro-differential equation”, Differ. Uravn., 8:1 (1972),  179–189  mathnet  mathscinet  zmath
55. A. Yanushauskas, “The absence of critical points of harmonic functions that are regular in symmetric domains”, Sibirsk. Mat. Zh., 13:6 (1972),  1407–1410  mathnet  mathscinet  zmath; Siberian Math. J., 13:6 (1972), 995–997
56. A. Yanushauskas, “Measure of indeterminacy of problems on oblique derivatives”, Sibirsk. Mat. Zh., 13:3 (1972),  718–723  mathnet  mathscinet  zmath; Siberian Math. J., 13:3 (1972), 496–499
1971
57. A. I. Yanushauskas, “On the Dirichlet problem for degenerate elliptic equations”, Differ. Uravn., 7:1 (1971),  166–174  mathnet  mathscinet  zmath 1
58. A. Yanushauskas, “The composition of singular integrals”, Sibirsk. Mat. Zh., 12:6 (1971),  1390–1397  mathnet  mathscinet  zmath; Siberian Math. J., 12:6 (1971), 1005–1010
1970
59. A. Yanushauskas, “The critical points of the Green's function of Laplace's equation”, Differ. Uravn., 6:1 (1970),  123–128  mathnet  mathscinet  zmath
60. A. Yanushauskas, “Entire solutions of second order elliptic equations”, Sibirsk. Mat. Zh., 11:5 (1970),  1161–1170  mathnet  mathscinet  zmath; Siberian Math. J., 11:5 (1970), 863–869
61. A. Yanushauskas, “Harmonic mappings of three-dimensional domains”, Sibirsk. Mat. Zh., 11:4 (1970),  909–925  mathnet  mathscinet  zmath; Siberian Math. J., 11:4 (1970), 684–696 2
1969
62. A. I. Yanushauskas, “An application of degenerate equations to the investigation of the oblique derivative problem”, Differ. Uravn., 5:1 (1969),  81–90  mathnet  mathscinet  zmath
63. A. Yanushauskas, “Поправки к статье “О нулях градиента и нулях Гессиана гармонической функции” (Сиб. матем. ж., X, № 3 (1969), 685–691)”, Sibirsk. Mat. Zh., 10:6 (1969),  1440  mathnet
64. A. Yanushauskas, “Criteria for the unsolvability and unconditional solvability of the oblique derivative problem”, Sibirsk. Mat. Zh., 10:3 (1969),  692–705  mathnet  mathscinet  zmath; Siberian Math. J., 10:3 (1969), 502–511
65. A. Yanushauskas, “The zeros of the gradient and the zeros of the Hessian of a harmonic function”, Sibirsk. Mat. Zh., 10:3 (1969),  685–691  mathnet  mathscinet  zmath; Siberian Math. J., 10:3 (1969), 497–501
1968
66. A. I. Yanushauskas, “Some cases of overdetermination of a problem on the oblique derivative”, Differ. Uravn., 4:1 (1968),  102–109  mathnet  mathscinet  zmath
67. A. Yanushauskas, “The behavior in the neighborhood of the hypersurface of degeneration of the solutions of an elliptic equation the order of which degenerates”, Sibirsk. Mat. Zh., 9:3 (1968),  700–712  mathnet  mathscinet  zmath; Siberian Math. J., 9:3 (1968), 524–533
1967
68. A. I. Yanushauskas, “Unconditional solvability of the oblique derivative problem”, Differ. Uravn., 3:1 (1967),  89–96  mathnet  mathscinet  zmath 3
69. A. Yanushauskas, “The Cauchy problem for a class of elliptic and degenerate equations”, Sibirsk. Mat. Zh., 8:4 (1967),  913–925  mathnet  mathscinet  zmath; Siberian Math. J., 8:4 (1967), 694–704 1
70. A. Yanushauskas, “On the oblique derivative problem for harmonic functions of three independent variables”, Sibirsk. Mat. Zh., 8:2 (1967),  447–462  mathnet  mathscinet  zmath; Siberian Math. J., 8:2 (1967), 326–337
1966
71. A. Yanushauskas, “A class of singular integral equations”, Dokl. Akad. Nauk SSSR, 166:3 (1966),  566–569  mathnet  mathscinet  zmath
1965
72. A. Yanushauskas, “On the problem of the oblique derivative”, Dokl. Akad. Nauk SSSR, 164:4 (1965),  753–756  mathnet  mathscinet  zmath 1
1964
73. A. Yanushauskas, “The Cauchy problem for the Laplace equation and the multiplication operation for harmonic functions”, Dokl. Akad. Nauk SSSR, 159:2 (1964),  286–289  mathnet  mathscinet  zmath
74. A. Yanushauskas, “On the zeros of the gradient of a harmonic function”, Dokl. Akad. Nauk SSSR, 158:3 (1964),  547–549  mathnet  mathscinet  zmath

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