Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 01, pp. 1-20.

Title: Initial-boundary value problems for quasilinear dispersive
       equations posed on a bounded interval
       
Authors: Andrei V. Faminskii (Univ. of Russia,  Moscow, Russia)
         Nikolai A. Larkin  (Univ. Estadual de Maringa, Brazil)
	 
Abstract: 
 This paper studies nonhomogeneous initial-boundary value problems
 for quasilinear one-dimensional odd-order equations posed on a
 bounded interval. For reasonable initial and boundary conditions we
 prove existence and uniqueness of global weak and regular solutions.
 Also we show the exponential decay of the obtained solution with
 zero boundary conditions and right-hand side, and small initial data.

Submitted  October 2, 2009. Published January 05, 2010.
Math Subject Classifications: 35M20, 35Q72
Key Words: Nonlinear boundary value problems; odd-order
           differential equations; existence and uniqueness.