Formulation of Problems for Stationary Dispersive Equations of Higher Orders on Bounded Intervals with General Boundary Conditions

Abstract

Boundary value problems for linear stationary dispersive equations of order 2l + 1, l ∈ N with general linear boundary conditions have been considered on finite intervals (0, L). The existence and uniqueness of regular solutions have been established.

Global solutions for the generalized Benney-Lin equation posed on bounded intervals and on a half-line

“…See also [8,9]. Mathematical results on initial and initial boundary value problems for various variants of (1.1) are presented in [2,4,6,7,10,12,13,20,21,23,24,25,26,32,33,36,38], see references there for more information. In [4,13,21,38], Kuramoto-Sivashinsky type equations have been considered which included u xxx (KdV) term.…”