http://dspace.nbuv.gov.ua:80/handle/123456789/106656 2026-04-18T23:16:12Z http://dspace.nbuv.gov.ua:80/handle/123456789/106666 On Transmission Problem for Berger Plates on an Elastic Base Potomkin, M. A nonlinear transmission problem for a Berger plate on an elastic base is studied. The plate consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. In the paper the existence of a compact global attractor is proved. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106665 L- and M-structure in lush spaces Pipping, E. Let X be a Banach space which is lush. It is shown that if a subspace of X is either an L-summand or an M-ideal then it is also lush. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106664 Asymptotics of Rarefaction Wave Solution to the mKdV Equation Minakov, A. I would like to express my gratitude to V.P. Kotlyarov for his valuable advices and attention paid to the work. 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106663 Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point Khalina, K.S. In the paper, the necessary and su±cient conditions of null-controllability and approximate null-controllability are obtained for the some control system. The problems for the control system are considered in the modified Sobolev spaces. The control that solves these problems is found explicitly. The bang-bang controls solving the approximate null-controllability problem are constructed as the solutions of the Markov trigonometric moment problem. 2011-01-01T00:00:00Z