http://dspace.nbuv.gov.ua:80/handle/123456789/106627 Sun, 19 Apr 2026 19:55:40 GMT 2026-04-19T19:55:40Z http://dspace.nbuv.gov.ua:80/bitstream/id/317384/ http://dspace.nbuv.gov.ua:80/handle/123456789/106627 http://dspace.nbuv.gov.ua:80/handle/123456789/106648 On Singular Limit and Upper Semicontinuous Family of Attractors of Thermoviscoelastic Berger Plate Potomkin, M. A system of partial differential equations with integral terms which take into account hereditary effects is considered. The system describes a behaviour of thermoviscoelastic plate with Berger's type of nonlinearity. The hereditary effect is taken into account both in the temperature variable and in the bending one. The main goal of the paper is to analyze the passage to the singular limit when memory kernels collapse into the Dirac mass. In particular, it is proved that the solutions to the system with memory are close in some sense to the solutions to the corresponding memory-free limiting system. Besides, the upper semicontinuity of the family of attractors with respect to the singular limit is obtained. Fri, 01 Jan 2010 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106648 2010-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106647 On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom Lisitsa, V.T. The completely singular dynamical systems of the Liouville type are studied. The motion paths of these systems are closed graphs if the Liouville tori are compact. The conditions under which a dynamical system of the Liouville type is strongly singular are obtained in the paper. These conditions have a form of the system of integral equations. It is proved that the obtained system is solvable. Fri, 01 Jan 2010 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106647 2010-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106646 On a Question by A.M. Kagan Il'inskii, A. There is given an example of probability distribution, not having Gaussian components, such that for any two independent identically distributed random variables ξ and η with this distribution and for all a ≠ 0, b ≠ 0 the distribution of the linear form aξ + bη has Gaussian components. Fri, 01 Jan 2010 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106646 2010-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106645 On a Class of Verblunsky Parameters that Corresponds to Guseinov's Class of Jacobi Parameters Golinskii, L.; Kheifets, A.; Peherstorfer, F.; Yuditskii, P. Fri, 01 Jan 2010 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106645 2010-01-01T00:00:00Z