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Lidskii, Viktor Borisovich
(1924–2008)

Statistics Math-Net.Ru
Total publications: 44
Scientific articles: 37

Number of views:
This page:2138
Abstract pages:14764
Full texts:6293
References:332
Professor
Doctor of physico-mathematical sciences (1958)
Birth date: 5.05.1924

https://www.mathnet.ru/eng/person21438
https://ru.wikipedia.org/wiki/Lidskii,_Viktor_Borisovich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/217319

Publications in Math-Net.Ru Citations
1998
1. A. A. Aslanyan, A. G. Aslanyan, V. B. Lidskii, “Asymptotics formulas for the frequencies of axially symmetric vibrations of a shell of revolution”, Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  298–309  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:2 (1998), 288–299 1
1994
2. A. G. Aslanyan, D. G. Vasil'ev, V. B. Lidskii, “A Formula for the Frequency Counting Function of a Thin Shell of Revolution for the Case of a Simple Turning Point”, Funktsional. Anal. i Prilozhen., 28:4 (1994),  74–77  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:4 (1994), 282–284  isi 2
1991
3. D. G. Vasil'ev, M. R. Levitin, V. B. Lidskii, “Forced vibrations of a shell immersed in a viscous compressible fluid”, Funktsional. Anal. i Prilozhen., 25:4 (1991),  93–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:4 (1991), 309–311  isi 1
1989
4. D. G. Vasil'ev, M. R. Levitin, V. B. Lidskii, “Forced oscillations of a thin elastic shell that is filled with a viscous compressible fluid”, Dokl. Akad. Nauk SSSR, 305:2 (1989),  329–332  mathnet  mathscinet  zmath; Dokl. Math., 34:3 (1989), 215–217 1
1986
5. D. G. Vasil'ev, V. B. Lidskii, “Quasiresonances in the problem of forced vibrations of a thin elastic shell interacting with a liquid”, Funktsional. Anal. i Prilozhen., 20:4 (1986),  17–28  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:4 (1986), 267–276  isi 2
1981
6. A. G. Aslanyan, D. G. Vasil'ev, V. B. Lidskii, “Frequencies of free vibrations of a thin shell interacting with a liquid”, Funktsional. Anal. i Prilozhen., 15:3 (1981),  1–9  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:3 (1981), 157–164  isi 8
1977
7. A. G. Aslanyan, V. B. Lidskii, “A formula for the frequency number of axially symmetric oscillations of rotating shells”, Differ. Uravn., 13:8 (1977),  1355–1365  mathnet  mathscinet  zmath 2
1976
8. V. B. Lidskii, “An estimate for the resolvent of an elliptic differential operator”, Funktsional. Anal. i Prilozhen., 10:4 (1976),  89–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:4 (1976), 324–325 3
1975
9. V. B. Lidskii, A. G. Aslanyan, “A formula for the number of frequencies of axisymmetric vibrations of a shell of revolution”, Dokl. Akad. Nauk SSSR, 222:4 (1975),  790–792  mathnet  mathscinet  zmath 1
1973
10. G. R. Gulgazaryan, V. B. Lidskii, G. I. Èskin, “The spectrum of a moment-free system in the case of a thin shell of arbitrary contour”, Sibirsk. Mat. Zh., 14:5 (1973),  978–986  mathnet  mathscinet  zmath; Siberian Math. J., 14:5 (1973), 681–687 2
1971
11. A. G. Aslanyan, V. B. Lidskii, “Spectral properties of a system describing natural oscillations of a shell of revolution”, Dokl. Akad. Nauk SSSR, 201:2 (1971),  300–303  mathnet 1
12. A. G. Aslanyan, V. B. Lidskii, “An oscillation theorem in the theory of vibrations of thin shells of revolution”, Dokl. Akad. Nauk SSSR, 196:5 (1971),  1040–1042  mathnet  mathscinet  zmath 1
13. A. O. Kravitsky, V. B. Lidskii, “Asymptotic series for the solution of the Cauchy problem”, Sibirsk. Mat. Zh., 12:4 (1971),  748–759  mathnet  mathscinet  zmath; Siberian Math. J., 12:4 (1971), 531–540
1970
14. V. B. Lidskii, N. V. Kharkova, “Spectrum of a system of membrane equations in the case of axisymmetric vibrations of shells of revolution”, Dokl. Akad. Nauk SSSR, 194:4 (1970),  786–789  mathnet  mathscinet  zmath 2
15. V. B. Lidskii, P. A. Frolov, “Connectivity components of normally solvable elliptic systems on the plane”, Dokl. Akad. Nauk SSSR, 192:4 (1970),  728–731  mathnet  mathscinet  zmath 1
16. A. G. Aslanyan, V. B. Lidskii, “Spectrum of an elliptic equation”, Mat. Zametki, 7:4 (1970),  495–502  mathnet  mathscinet  zmath; Math. Notes, 7:4 (1970), 300–304 7
1968
17. V. B. Lidskii, V. A. Sadovnichii, “Trace formulas in the case of the Orr–Sommerfeld equation”, Izv. Akad. Nauk SSSR Ser. Mat., 32:3 (1968),  633–648  mathnet  mathscinet  zmath; Math. USSR-Izv., 2:3 (1968), 585–600 10
18. V. B. Lidskii, V. A. Sadovnichii, “Asymptotic formulas for the zeros of a class of entire functions”, Mat. Sb. (N.S.), 75(117):4 (1968),  558–566  mathnet  mathscinet  zmath; Math. USSR-Sb., 4:4 (1968), 519–527 35
1967
19. V. B. Lidskii, V. A. Sadovnichii, “Regularized root sums of a class of entire functions”, Dokl. Akad. Nauk SSSR, 176:2 (1967),  259–262  mathnet  mathscinet  zmath 7
20. V. B. Lidskii, V. A. Sadovnichii, “Regularized sums of zeros of a class of entire functions”, Funktsional. Anal. i Prilozhen., 1:2 (1967),  52–59  mathnet  mathscinet  zmath; Funct. Anal. Appl., 1:2 (1967), 133–139 43
21. V. B. Lidskii, B. V. Fedosov, “Convergence to zero of the solutions of a second-order differential equation with operator coefficients”, Mat. Zametki, 2:3 (1967),  307–314  mathnet  mathscinet  zmath; Math. Notes, 2:3 (1967), 670–674
1966
22. V. B. Lidskii, P. A. Frolov, “Stability regions for complex selfadjoint systems of differential equations”, Dokl. Akad. Nauk SSSR, 171:1 (1966),  41–43  mathnet  mathscinet  zmath
23. V. B. Lidskii, P. A. Frolov, “The structure of the stability regions of a selfadjoint system of differential equations with periodic coefficients”, Mat. Sb. (N.S.), 71(113):1 (1966),  48–64  mathnet  mathscinet  zmath 1
24. V. B. Lidskii, “Perturbation theory of non-conjugate operators”, Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  52–60  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:1 (1966), 73–85 42
1965
25. V. B. Lidskii, P. A. Frolov, “The topological structure of stability-regions of a self-adjoint system of differential equations with periodic coefficients”, Dokl. Akad. Nauk SSSR, 161:4 (1965),  764–766  mathnet  mathscinet  zmath
1962
26. V. B. Lidskii, “Summability of series in terms of the principal vectors of non-selfadjoint operators”, Tr. Mosk. Mat. Obs., 11 (1962),  3–35  mathnet  mathscinet  zmath 38
27. V. B. Lidskii, “The Fourier series expansion in terms of the principal functions of a non-selfadjoint elliptic operator”, Mat. Sb. (N.S.), 57(99):2 (1962),  137–150  mathnet  mathscinet  zmath 5
28. V. B. Lidskii, M. G. Neigauz, “The method of successive substitutions in the case of a self-conjugate system of the second order”, Zh. Vychisl. Mat. Mat. Fiz., 2:1 (1962),  161–165  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 2:1 (1963), 171–174 3
1960
29. V. B. Lidskii, “Summation of series over the main vectors of non-selfadjoined operators”, Dokl. Akad. Nauk SSSR, 132:2 (1960),  275–278  mathnet  mathscinet  zmath 1
30. V. B. Lidskii, “A non-selfadjoint operator of Sturm-Liouville type with a discrete spectrum”, Tr. Mosk. Mat. Obs., 9 (1960),  45–79  mathnet  mathscinet  zmath 8
1959
31. V. B. Lidskii, “Conditions for completeness of a system of root subspaces for non-selfadjoint operators with discrete spectrum”, Tr. Mosk. Mat. Obs., 8 (1959),  83–120  mathnet  mathscinet  zmath 3
1958
32. V. B. Lidskii, “Theorems on the completeness of a system of characteristic and adjoined elements of operators having a discrete spectrum”, Dokl. Akad. Nauk SSSR, 119:6 (1958),  1088–1091  mathnet  mathscinet  zmath
1957
33. V. B. Lidskii, “On the completeness of a system of eigen elements and adjoint elements of a compacte operator”, Dokl. Akad. Nauk SSSR, 115:2 (1957),  234–236  mathnet  mathscinet  zmath
34. V. B. Lidskii, “Conditions for a complete continuity of the resolvent of a differential operator”, Dokl. Akad. Nauk SSSR, 113:1 (1957),  28–31  mathnet  mathscinet  zmath
35. V. B. Lidskii, “A theorem on the spectra of a perturbed differential operator”, Dokl. Akad. Nauk SSSR, 112:6 (1957),  994–997  mathnet  mathscinet  zmath 1
36. V. B. Lidskii, “Some problems of the spectral theory of systems of differential equations”, Uspekhi Mat. Nauk, 12:1(73) (1957),  218  mathnet
1955
37. I. M. Gel'fand, V. B. Lidskii, “On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients”, Uspekhi Mat. Nauk, 10:1(63) (1955),  3–40  mathnet  mathscinet  zmath 14

1991
38. B. R. Vainberg, V. A. Il'in, L. D. Kudryavtsev, V. B. Lidskii, V. I. Arnol'd, V. P. Maslov, E. F. Mishchenko, V. Yu. Prikhod'ko, “Mikhail Vasil'evich Fedoryuk”, Differ. Uravn., 27:5 (1991),  914–915  mathnet  mathscinet; Differ. Equ., 27:5 (1991), 639–640 1
1982
39. L. V. Keldysh, N. V. Nikolenko, A. N. Varchenko, A. S. Kalashnikov, V. L. Berdichevsky, D. G. Vasil'ev, V. B. Lidskii, A. I. Vol'pert, V. M. Kamenkovich, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 37:5(227) (1982),  221–226  mathnet 6
1980
40. N. V. Krylov, M. V. Safonov, V. P. Maslov, L. A. Bunimovich, Ya. G. Sinai, S. M. Kozlov, V. E. Zakharov, A. G. Aslanyan, D. G. Vasil'ev, V. B. Lidskii, R. I. Nigmatulin, V. M. Petkov, “Sessions of the Petrovskii Seminar on differential equations and problems of mathematical physics”, Uspekhi Mat. Nauk, 35:2(212) (1980),  251–256  mathnet 21
1978
41. V. I. Arnol'd, A. L. Gol'denveizer, V. B. Lidskii, I. M. Krichever, A. N. Varchenko, R. L. Dobrushin, A. A. Barmin, S. V. Manakov, V. A. Malyshev, R. A. Minlos, L. D. Faddeev, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 33:2(200) (1978),  225–231  mathnet 2
1966
42. V. B. Lidskii, “Differentialoperatoren der mathematischen Physik: Hellwig, G. Eine Einführung, Berlin–Göttingen–Heidelberg, Springer, XII pp. 253”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  404–405  mathnet; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 309–310
1964
43. V. B. Lidskii, “G. Вiгkhоff, G. C. Rоta. Ordinary differential equations. Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 4:4 (1964),  785–786  mathnet; U.S.S.R. Comput. Math. Math. Phys., 4:4 (1964), 230–232 1
1962
44. V. B. Lidskii, “J. С Burkill. The theory of ordinary differential equations. Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 2:4 (1962),  728  mathnet

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