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Applied problems of dynamics and of the stability of mechanical systems. Collection of scientific works. (Prikladnye zadachi dinamiki i ustojchivosti mnogomernykh sistem. Sbornik nauchnykh trudov). (Russian) Zbl 0651.76004

Kiev: Institut Matematiki AN USSR. 143 p. R. 1.05 (1987).
[The articles of this volume (all in Russian) will not be reviewed individually.]
Contents: I. A. Lukovskij and A. N. Bilyk, Investigation of forced nonlinear oscillations of a liquid in conic vessels of angle smaller than 45\(\circ\) (p. 5-14); I. A. Lukovsij and A. M. Pil’kevich, On oscillations of a liquid in a cylindrical cavity with convex bottom (p. 15-21); A. N. Timokha, On equilibrium forms of the free surface of a limited volume of a liquid lying in a high- frequency acoustic field (p. 22-26); M. Ya. Barnyak, Investigation of small oscillations of a spherical pendulum with a cavity filled by a viscous incompressible liquid (p. 27-33); B. I. Rabinovich, On equations of the dynamics of a rigid body containing a turbulent liquid of a low viscosity (p. 34-44); O. S. Limarchenko, Specified determination of oscillation forms of a liquid in cavities of revolution (p. 45-52); A. L. Maksimenko, Axially symmetric non-turbulent outflow of a fluid with free surface (p. 53-58).
V. A. Trotsenko, Frequencies of eigenvibrations of prestressed circular membranes with elastic Biederman potential (p. 59-66); S. O. Titov, Stability and vibrations of supported cylindrical shells in the case of action of quickly increasing (with respect to time) loadings (p. 67-73); V. P. Kravchenko, Parameter synthesis of a moving elastic heavy rope in case of given constraints upon the value of the tension force (p. 74-78).
G. S. Zhukova, On an approximate construction of the general solution with given accuracy (p. 79-83); M. E. Temchenko, On a method for the determination of location of roots of polynomials with complex coefficients with respect to the real axis (p. 84-93); A. M. Mikhajlichenko, An algorithm for the determination of the resource of program control of a flexible industrial system (p. 94-95); I. T. Postolov, Synthesis of digital filters for stabilization of complex dynamical systems (p. 96-99); N. A. Pustovojtov, On the construction of a mathematical model of a linear controlled system in the Cauchy form (p. 100-103); A. G. Mazko, Matrix commutation equations in the generalized eigenvalue problem (p. 104-108); A. N. Oshchepkov, T. V. Tkachenko and V. G. Sukhorebryi, Construction of the canonical decomposition of the state vector for an estimation of characteristics of non-stationary stochastic systems in the range of extremal values (p. 109-114); V. G. Sukhorebryj, The root parametric synthesis of linear dynamical systems with random parameters (p. 116-117); D. G. Korenevskij, Square mean stability for linear dynamical, stochastic Ito systems with an infinite number of degrees of freedom (p. 118-125); D. G. Korenevskij, A coefficient test of absolute (with respect to nonlinearity) stability in square mean for stochastic systems of automatic control with nonlinear feedback (p. 126- 135).

MSC:

76-06 Proceedings, conferences, collections, etc. pertaining to fluid mechanics
74-06 Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids
93-06 Proceedings, conferences, collections, etc. pertaining to systems and control theory