http://dspace.nbuv.gov.ua:80/handle/123456789/106453 Sun, 05 Apr 2026 17:45:10 GMT 2026-04-05T17:45:10Z http://dspace.nbuv.gov.ua:80/bitstream/id/316935/ http://dspace.nbuv.gov.ua:80/handle/123456789/106453 http://dspace.nbuv.gov.ua:80/handle/123456789/106523 Авторский указатель к тому 4 за 2008 год Tue, 01 Jan 2008 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106523 2008-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106522 From Laplacian Transport to Dirichlet-to-Neumann Gibbs) Semigroups Zagrebnov, V.A. The paper gives a short account of some basic properties of Dirichlet-to-Neumann operators Λγ∂Ω including the corresponding semigroups motivated by the Laplacian transport in anisotropic media (γ ≠ I) and by elliptic systems with dynamical boundary conditions. Tue, 01 Jan 2008 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106522 2008-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106521 Bifurcations of Solitary Waves Kuznetsov, E.A.; Agafontsev, D.S.; Dias, F. The paper provides a brief review of the recent results devoted to bifurcations of solitary waves. The main attention is paid to the universality of soliton behavior and stability of solitons while approaching supercritical bifurcations. Near the transition point from supercritical to subcritical bifurcations, the stability of two families of solitons is studied in the frame-work of the generalized nonlinear Schrodinger equation. It is shown that one-dimensional solitons corresponding to the family of supercritical bifurcations are stable in the Lyapunov sense. The solitons from the subcritical bifurcation branch are unstable. The development of this instability results in the collapse of solitons. Near the time of collapse, the pulse amplitude and its width exhibit a self-similar behavior with a small asymmetry in the pulse tails due to self-steepening. Tue, 01 Jan 2008 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106521 2008-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106520 KdV Flow on Generalized Reflectionless Potentials Kotani, S. The purpose of this article is to construct KdV fow on a space of generalized reflectionless potentials by applying Sato's Grassmannian approach The point is that the base space contains not only rapidly decreasing potentials but also oscillating ones such as periodic ones, which makes it possible for us to discuss the shift invariant probability measures on it. Tue, 01 Jan 2008 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/106520 2008-01-01T00:00:00Z