VESTNIK OF SAINT PETERSBURG UNIVERSITY
MATHEMATICS. MECHANICS. ASTRONOMY

Volume 7(65), Issue 1, 2020

¹ Contents Pages
MATHEMATICS
1 Extremal polynomials connected with Zolotarev polynomials
Agafonova I.V., Malozemov V.N.
3-14
2 Sharp Jackson—Chernykh type inequality for spline approximations on the line
Vinogradov O.L.
15-27
3 Power series of one variable with condition of logarithmical convexity
Zheleznyak A.V.
28-38
4 On a decomposition of additive random ?elds
Zani M., Khartov A.A.
39-49
5 On the problem of Aizerman: coe?cient conditions for an existence of four-period cycle in a second-order discrete-time system
Zvyagintseva T.E.
50-59
6 On a generalization of self-injective rings
Zilberbord I.M., Sotnikov S.V.
60-68
7 On the second record derivative of a sequence of exponential random variables
Nevzorov V.B., Stepanov A.V.
69-76
8 On the average perimeter of the inscribed random polygon
Nikitin Ya.Yu., Polevaya T.A.
77-84
9 On a Nesbitt—Carlitz determinant
Pimenov K.I.
85-90
10 Generalized semicommutative rings
Roy D., Subedi T.
91-103
MECHANICS
11 To the problem of modeling gas ?ows behind the front of a strong shock wave using an e?ective adiabatic index
Bogatko V.I., Potekhina E.A.
104-111
12 New studies of paradox of strength and ductility in nanomaterials
Valiev R.Z.
112-127
13 Application of a special form of di?erential equations to the study of motion of a loaded Stewart platform
Zegzhda S.A., Petrova V.I., Yushkov M.P.
128-140
14 Investigation of the large deformations of composite plane with interface crack loaded by uniform pressure
Mal’kov V.M., Mal’kova Yu.V.
141-153
15 Motion control of a bridge crane with a load by ?nding its acceleration
Shugailo T.S.
154-164
ASTRONOMY
16 On a quotient space of Keplerian orbits
Kholshevnikov K.V., Shchepalova A.S., Jazmati M.S.
165-174
CHRONICLE
17 On the 80th anniversary of Victor Aleksandrovich Morozov
175-177
18 In memoriam of A.A.Krylov
178-179