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Volosov, Vladimir Markovich
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 25

Number of views:
This page:949
Abstract pages:12444
Full texts:8934
References:52
Professor
Doctor of physico-mathematical sciences (1962)
Birth date: 11.02.1928
E-mail:
Keywords: ordinary differential equations; partial differential equations; averaging method; asymptotic expansions; nonlinear oscillations; nonlinear waves; Rossby waves.

Subject:

The averaging method is generalized and used to investigate a wide class of nonlinear oscillations and waves in media with slowly and smoothly varying parameters. The suggested methods are used to analyze oscillations and waves in physical systems and also to study topoghraphic Rossby waves on the $-deta$-plane over an anisotropic bottom relief in the one- and two-layer ocean models (in collaboration with M. A. Zhdanov).

Biography

Graduated from the Physical Faculty of M. V. Lomonosov Moscow State Unversity (MSU) in 1950 (department of mathematics). Ph. D. thesis was defended in 1956. D. Sci. thesis was defended in 1961. A list of my works contains more than 70 titles.
   
Main publications:
  • Volosov V. M. Usrednenie v sistemakh obyknovennykh differentsialnykh uravnenii // UMN, 1962, 13(6), 3–126.
  • Volosov V. M. Nekotorye vidy raschetov v teorii nelineinykh kolebanii, svyazannye s usredeniem // ZhVM i MF, 1963, 3(1), 3–53.
  • Volosov V. M., Morgunov B. I. Metod osredneniya v teorii nelineinykh kolebatelnykh sistem. M.: Izd. MGU, 1971.
  • Volosov V. M. Nelineinye topograficheskie volny Rossbi // Okeanologiya, 1976, 16(3), 398–396.
  • Volosov V. M., Zhdanov M. A. Nelineinaya teoriya krupnomasshtabnykh techenii nad anizotropnym relefom dlya dvukhsloinoi modeli okeana // Okeanologiya, 1982, 22(5), 698–704.

https://www.mathnet.ru/eng/person12469
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/221072

Publications in Math-Net.Ru Citations
1972
1. V. M. Volosov, “Asymptotic scheme for a class of partial differential equations”, Dokl. Akad. Nauk SSSR, 207:1 (1972),  15–17  mathnet  mathscinet  zmath
1968
2. V. M. Volosov, B. I. Morgunov, “Methods of calculating stationary resonance vibrational and rotational motions of certain non-linear systems”, Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  251–294  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:2 (1968), 1–62 3
1966
3. V. M. Volosov, B. I. Morgunov, “Certain conditions for stability connected with the study of resonances”, Dokl. Akad. Nauk SSSR, 170:2 (1966),  239–241  mathnet  mathscinet  zmath 1
1965
4. V. M. Volosov, B. I. Morgunov, “Asymptotic estimation of certain rotational motions in the case of resonance”, Dokl. Akad. Nauk SSSR, 161:6 (1965),  1303–1305  mathnet  mathscinet  zmath 1
5. V. M. Volosov, B. I. Morgunov, “On the estimation of oscillatory behaviour for certain non-Hamiltonian systems”, Dokl. Akad. Nauk SSSR, 161:5 (1965),  1048–1050  mathnet  mathscinet  zmath
1964
6. V. M. Volosov, B. I. Morgunov, “Stationary operational conditions of some oscillatory systems in resonance”, Dokl. Akad. Nauk SSSR, 156:1 (1964),  50–53  mathnet 1
1963
7. V. M. Volosov, B. I. Morgunov, “The calculation of stationary resonance conditions in the operation of certain non-linear oscillatory systems”, Dokl. Akad. Nauk SSSR, 153:3 (1963),  559–561  mathnet 1
8. V. M. Volosov, B. I. Morgunov, “Asymptotic behaviour of certain rotary motions”, Dokl. Akad. Nauk SSSR, 151:6 (1963),  1260–1263  mathnet  mathscinet  zmath
9. V. M. Volosov, “Some types of calculation connected with averaging in the theory of non-linear vibrations”, Zh. Vychisl. Mat. Mat. Fiz., 3:1 (1963),  3–53  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:1 (1963), 1–64 3
1962
10. V. M. Volosov, “On averaging over an unbounded interval”, Dokl. Akad. Nauk SSSR, 145:5 (1962),  965–966  mathnet  mathscinet  zmath
11. V. M. Volosov, “Averaging in certain systems of differential equations”, Dokl. Akad. Nauk SSSR, 145:4 (1962),  713–715  mathnet  mathscinet  zmath
12. V. M. Volosov, “Averaging in systems of ordinary differential equations”, Uspekhi Mat. Nauk, 17:6(108) (1962),  3–126  mathnet  mathscinet  zmath; Russian Math. Surveys, 17:6 (1962), 1–126 120
1961
13. V. M. Volosov, “Higher approximations in averaging”, Dokl. Akad. Nauk SSSR, 137:5 (1961),  1022–1025  mathnet  mathscinet  zmath
14. V. M. Volosov, “The method of averaging”, Dokl. Akad. Nauk SSSR, 137:1 (1961),  21–24  mathnet  mathscinet  zmath 2
1960
15. V. M. Volosov, “Averaging of some perturbed motions”, Dokl. Akad. Nauk SSSR, 133:2 (1960),  261–264  mathnet  mathscinet  zmath
1958
16. V. M. Volosov, “Solutions of some perturbed systems in the neighbourhood of periodical motions”, Dokl. Akad. Nauk SSSR, 123:4 (1958),  587–590  mathnet  mathscinet  zmath
17. V. M. Volosov, “The asymptotic of the integrals of some disturbed systems”, Dokl. Akad. Nauk SSSR, 121:6 (1958),  959–962  mathnet  mathscinet  zmath
18. V. M. Volosov, “Oscillation equations with slowly variable parameters”, Dokl. Akad. Nauk SSSR, 121:1 (1958),  22–25  mathnet  mathscinet  zmath
1957
19. V. M. Volosov, “Non-linear oscillations with one degree of freedom of a system with slowly varying parameters”, Dokl. Akad. Nauk SSSR, 117:6 (1957),  927–930  mathnet  mathscinet  zmath
20. V. M. Volosov, “Periodical solutions of a non-linear equation of autooscillations”, Dokl. Akad. Nauk SSSR, 115:1 (1957),  20–22  mathnet  mathscinet  zmath
21. V. M. Volosov, “Solutions of second order non-linear differential equations with slowly varying coefficients”, Dokl. Akad. Nauk SSSR, 114:6 (1957),  1149–1152  mathnet  mathscinet  zmath
1955
22. V. M. Volosov, “Quasihomogeneous differential equations of the second order having a small parameter”, Mat. Sb. (N.S.), 36(78):3 (1955),  501–554  mathnet  mathscinet  zmath
1952
23. V. M. Volosov, “On solutions of some differential equations of the second order depending upon a parameter”, Mat. Sb. (N.S.), 31(73):3 (1952),  675–686  mathnet  mathscinet  zmath 1
24. V. M. Volosov, “On the theory of nonlinear differential equations of higher orders with a small parameter in the highest derivative”, Mat. Sb. (N.S.), 31(73):3 (1952),  645–674  mathnet  mathscinet  zmath 1
25. V. M. Volosov, “Nonlinear differential equations of the second order with a small parameter with the highest derivative”, Mat. Sb. (N.S.), 30(72):2 (1952),  245–270  mathnet  mathscinet  zmath 2
1972
26. V. M. Volosov, “Рецензия на книгу Е. А. Гребеникова и Ю. А. Рябова «Новые качественные методы в небесной механике»”, Differ. Uravn., 8:11 (1972),  2106–2107  mathnet
1970
27. V. M. Volosov, “W. Magnus, S. Winkler. Hill's equation. New York–London–Sydney, Intersci. Publs, a div. of John. Wiley and Sons, 1966, VIII+127 pp., 68 sh. (Book review)”, Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  272  mathnet; U.S.S.R. Comput. Math. Math. Phys., 10:1 (1970), 386
1968
28. V. M. Volosov, “Stability criteria for linear dynamical systems: B. Porter. Oliver & Boyd, 1967. Kriterii ystoichivosti dlya lineinykh dinamicheskikh sistem X+195 pp., B. Porter”, Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  503–504  mathnet; U.S.S.R. Comput. Math. Math. Phys., 8:2 (1968), 380–381
1967
29. V. M. Volosov, “F. Brauer, J. Nohel, Ordinary differential equations elementary and intermediate topics with applications (review)”, Uspekhi Mat. Nauk, 22:4(136) (1967),  194–195  mathnet
30. A. B. Vasil'eva, V. M. Volosov, “The work of Tikhonov and his pupils on ordinary differential equations containing a small parameter”, Uspekhi Mat. Nauk, 22:2(134) (1967),  149–168  mathnet  mathscinet  zmath; Russian Math. Surveys, 22:2 (1967), 124–142 9
1966
31. V. M. Volosov, “Non-linear differential equations: G. Sansone and R. Conti, (Translated from the Italian), Pergamon Press. Oxford, 536 pp., 1964”, Zh. Vychisl. Mat. Mat. Fiz., 6:3 (1966),  604–605  mathnet; U.S.S.R. Comput. Math. Math. Phys., 6:3 (1966), 277–278
1965
32. V. M. Volosov, “D. Е. Rutherford. Classical mechanics. 3rd ed. Edinburgh–London, Oliver and Boyd, Ltd, 1964, VIII + 206 pp. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 5:3 (1965),  584  mathnet
1964
33. V. M. Volosov, “Н. Т. Davis . Introduction to nonlinear differential and integral equations. Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 4:4 (1964),  786–787  mathnet; U.S.S.R. Comput. Math. Math. Phys., 4:4 (1964), 232–234
1962
34. V. M. Volosov, “To the editor of “Uspekhi Matematicheskikh Nauk””, Uspekhi Mat. Nauk, 17:5(107) (1962),  221  mathnet
35. V. M. Volosov, “International Symposium on Non-Linear Oscillations held at Kiev”, Uspekhi Mat. Nauk, 17:2(104) (1962),  215–265  mathnet

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