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A boundary value problem for a stationary nonlinear dispersive equation oforder $2l+1\;\; l\in \mathbb{N}$ 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 arelation between $l$ and critical values of $k$ have been established.

Higher-order stationary dispersive equations on bounded intervals: a relation between the order of an equation and the growth of its convective term