Copyright © 2010 Nakao Hayashi and Elena I. Kaikina. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider the initial-boundary value problem for Benjamin-Ono
equation on a half-line. We study traditionally important problems of the theory
of nonlinear partial differential equations, such as global in time existence
of solutions to the initial-boundary value problem and the asymptotic behavior
of solutions for large time.