Controllability of nonlinear third-order dispersion inclusions with infinite delay

Abstract

This article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article.

Keywords

• Controllability
• semigroup theory
• nonlinear dispersion inclusions
• Korteweg-de Vries equation
• infinite delay