http://dspace.nbuv.gov.ua:80/handle/123456789/106457 2026-04-05T22:15:51Z 2026-04-05T22:15:51Z http://dspace.nbuv.gov.ua:80/handle/123456789/106523 2016-09-30T00:03:06Z 2008-01-01T00:00:00Z

Авторский указатель к тому 4 за 2008 год

2008-01-01T00:00:00Z Zagrebnov, V.A. http://dspace.nbuv.gov.ua:80/handle/123456789/106522 2016-09-30T00:03:06Z 2008-01-01T00:00:00Z

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.

2008-01-01T00:00:00Z Kuznetsov, E.A. Agafontsev, D.S. Dias, F. http://dspace.nbuv.gov.ua:80/handle/123456789/106521 2016-09-30T00:03:05Z 2008-01-01T00:00:00Z

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.

2008-01-01T00:00:00Z Kotani, S. http://dspace.nbuv.gov.ua:80/handle/123456789/106520 2016-09-30T00:03:04Z 2008-01-01T00:00:00Z

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.

2008-01-01T00:00:00Z