  A boundary value problem for a stationary nonlinear dispersive equation of
order $2l+1\;\; l\in \mathbb{N}$ with a convective term in the form $u^ku_x\;\;
k\in \mathbb{N}$ was considered on an interval $(0,L)$. The existence,
uniqueness and continuous dependence of a regular solution as well as a
relation between $l$ and critical values of $k$ have been established.
