A short survey of the scientific activity of the famous Soviet mechanician M.I.Rozovskiy is presented, including his contributions to fractional calculus tools.
This is a second part of the historical survey [8].
You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.
References
[1] M.I.Byrdin and M.I.Rozovskiy, On deformation waves in nonlinear elastichereditary medium (In Russian), Solid Mechanics No 4 (1984), 100-104.
[2] A.M.Datkaev and M.I.Rozovskiy, On operator- and operator-differential equations of hereditary creep theory (In Russian), Proc. Armenian Acad. Sci., Mechanics 19, No 1 (1966), 21-36.
[3] A.N.Gerasimov, Problem of elastic aftereffect and internal friction (In Russian), Applied Mathematics and Mechanics, OTN 1, No 4 (1938), 493-536.
[4] A.N.Gerasimov, Generalization of laws of the linear deformation and their application to the problems of internal friction (In Russian), Appl. Math. Mech. 12, No 3 (1948), 251-260.
[5] V.T.Glushko, A.N. Zorin and M.I.Rozovskiy, Functions of special operators and their applications in the theory of creep of anisotropic media (In Russian), Izv. Armenian Acad. Sc., Mechanics 20, No 3 (1967), 14-22.
[6] I.I.Krush and M.I.Rozovskiy, Forced vibrations of elastic-hereditary systems (In Russian), Izv. AN SSSR, OTN, Mechanics and Mechanical Engineering No 1 (1964), 79-82.
[7] I.I.Krush, Some applications of integral operators in mechanics of elastichereditary media (In Russian): Abstract, Dissertation for the degree of candidate of physical-mathematical sciences (Sci. supervisor Prof. M.I.Rozovsky), Moscow, Institute of Mechanics of the Moscow State University, 1966.
[8] O.G.Novozhenova, Life and science of Alexey Gerasimov, one of the pioneers of fractional calculus in Soviet Union, Fract. Calc. Appl. Anal. 20, No 3 (2017), 790-809; DOI: 10.1515/fca-2017-0040.
[9] Yu.N.Rabotnov, Equilibrium of an elastic medium with aftereffect (In Russian), Appl. Math. Mech. 12, No 1 (1948), 53-62.
[10] Y.A.Rossikhin and M.V. Shitikova, Comparative analysis of viscoelastic models involving fractional derivatives of different orders, Fract. Calc. Appl. Anal. 10, No 2 (2007), 111-121; at http://www.math.bas.bg/complan/fcaa. 330 O.G. Novozhenova
[11] M.I.Rozovskiy, On the equations of the electromagnetic field in conducting medium with magnetic aftereffect (In Russian), J. Exper. Theor. Physics 14, No 10-11 (1944), 402-406.
[12] M.I.Rozovskiy, On integral-differential equation of electromagnetic waves propagation in medium with dielectric and magnetic viscosity (In Russian), Reports USSR Acad. Sc. 53, No 7 (1946), 605-608 (presented by Acad. S.L. Sobolev).
[13] M.I.Rozovskiy, Bend of a real hot rod with heterogeneous distribution of temperature (In Russian), Technical Physics 17, No 6 (1947), 657-660.
[14] M.I.Rozovskiy, On the analytical description of deformation processes in constructions composed with viscoelastic elements (In Russian), Izvestiya AN SSSR, OTN No 3 (1947), 301-305 (Reference No
[8] is the work of A.N.Gerasimov).
[15] M.I.Rozovskiy, Plane strain in presence of the elastic aftereffect and thermal tensions (In Russian), Reports USSR Acad. Sc. 58, No 6 (1947), 9991002 (presented by Acad. S.L. Sobolev).
[16] M.I.Rozovskiy, Application of integral-differential equations to some dynamic elasticity problems in presence of aftereffect (In Russian), Appl. Math. Mech. 11, No 3 (1947), 329-338.
[17] M.I.Rozovskiy, Application of integral and integral-differential equations to treating the deformation processes of real bodies (In Russian), Izv. AN SSSR, OTN No 5 (1948), 601-622 (presented by Acad. S.L. Sobolev).
[18] M.I.Rozovskiy, On integral-differential telegraph equations (In Russian), Reports USSR Acad. Sc. 59, No 7 (1948), 1265-1268 (presented by Acad. S.L. Sobolev).
[19] M.I.Rozovskiy, Impact of a cylinder with a surface of medium which mechanical properties change in time (In Russian), Reports USSR Acad. Sc. 61, No 1 (1948), 25-28 (presented by Acad. S.L. Sobolev).
[20] M.I.Rozovskiy, Creep and long-term destruction of materials (In Russian), J. Technical Physics 21, No 11 (1951), 1113-1318.
[21] M.I.Rozovskiy, Some problems of mechanics systems deformable in time (In Russian), Thesis for the degree of Doctor of physical-mathematical sciences, Dnepropetrovsk, 1953, 264 p. SOVIET PIONEERS OF FRACTIONAL CALCULUS... 331
[22] M.I.Rozovskiy, Radial deformation of a hollow sphere having anisotropy and elastic aftereffect (In Russian), Reports USSR Acad. Sci. 105, No 5 (1955), 920-923.
[23] M.I.Rozovskiy, On nonlinear equations of creep and relaxation of materials at complex tension state (In Russian), Technical Physics 25, No 13 (1955), 2339-2355.
[24] M.I.Rozovskiy, Semi-symbolic way to solve some problems of the theory of hereditary elasticity (In Russian), Reports USSR Acad. Sci. 111, No 5 (1956), 972-975.
[25] M.I.Rozovskiy, Some problems of mechanics systems deformable in time (In Russian), Abstract on competition for the degree of Doctor of physicalmathematical sciences, Moscow State Univ. – Dnepropetrovsk (1957), 23 p.
[26] M.I.Rozovskiy, Cauchy problem for the integral-differential equation with partial derivatives in an unbounded space (In Russian), Uspekhi Matem. Nauk 12, No 3 (1957), 369-376.
[27] M.I.Rozovskiy, Integral operators and the problem on creep for the hollow cylinder rotating about its axis (In Russian), Scientific Reports of High School, Phys.-Math. Sci. No 6 (1958), 147-151.
[28] M.I.Rozovskiy, Nonlinear integral-operator equations and creep problem for torsion of a cylinder at large angles of twist (In Russian), Izv. AN SSSR, OTN No 5 (1959), 109-116.
[29] M.I.Rozovskiy, Processing creep curves on the basis of integral equations (In Russian), Technical Physics 29, No 12 (1959), 49-54.
[30] M.I.Rozovskiy, Some properties of special operators used in creep theory, Appl. Math. Mech. (PMM) 23, No 5 (1959), 978-980.
[31] M.I.Rozovskiy, Nonlinear integral equation, Ukr. Mat. Magazine No 1 (1960), 96-98.
[32] M.I.Rozovskiy, Some features of elastic-hereditary media, Proc. USSR Acad. Sc., Dep. Techn. Sc. No 2 (1961), 30-36.
[33] M.I.Rozovskiy, On a class of functions and their applications, J. Computational Mathematics and Mathematical Physics 2, No 1 (1962), 179-185. 332 O.G. Novozhenova
[34] M.I.Rozovskiy, A property of the power of the special operator and its application to solving elastic-hereditary dynamical problems (In Russian), In: Coll. Papers “Creep and long-time strength”, Siberian Branch of the USSR Academy of Sciences, Novosibirsk, 1963, 128-133 (Editor Yu.N.Rabotnov).
[35] M.I.Rozovskiy, Integral-operator method in the theory of hereditary creep, Reports USSR Acad. Sci. 160, No 4 (1965), 792-795.
[36] M.I.Rozovskiy and E.S. Sinayskiy, Vibrations of an oscillator having hereditary creep, Appl. Math. Mech. 30, No 3 (1966), 584-589.
[37] M.I.Rozovskiy, Functional equations of states of materials with memory (In Russian), In: Coll. Papers “Analytic possibilities of the method of internal friction”, USSR Acad. Sci., Institute of Metallurgy, “Nauka”, Moscow (1973), 19-28 (Eds. Tavadze F.N., Postnikov V.S. and Gordienko L.K.).
[38] M.I.Rozovskiy and F.B.Badalov, One method of solving a non-linear system of the integral-differential Volterra equations, Ukr. Mat. J. 25, No 1 (1973), 121-123.
[39] M.I.Rozovskiy and N.N.Dolinina, Operators of the Yu.N.Rabotnov type in the theory of creep difference (In Russian), In: Mechanics of Straining of Bodies and Structures, Mechanical Engineering, Moscow (1975), 420-425.