3 papers · 1 filter
A Nonhomogeneous Boundary-Value Problem For The Nonlinear KdV Equation on Star Graphs
Roberto de A. Capistrano Filho, Hugo Parada, Jandeilson Santos da Silva
This paper investigates a boundary-value problem for the Korteweg-de Vries (KdV) equation on a star-graph structure. We develop a unified framework introducing the notion of -co…
On the stability of the Kawahara equation with a distributed infinite memory
Roberto de A. Capistrano Filho, Boumediène Chentouf, Isadora Maria de Jesus
This article will deal with the stabilization problem for the higher-order dispersive system, commonly called the Kawahara equation. To do so, we introduce a damping mechanism via…
Control results with overdetermination condition for higher order dispersive system
Roberto de A. Capistrano Filho, Luan S. de Sousa
In recent years, controllability problems for dispersive systems have been extensively studied. This work is dedicated to proving a new type of controllability for a dispersive fif…