TITLE:
On the KdV Equation with Hysteresis
AUTHORS:
Marius-Florinel Ionescu, Ligia Munteanu, Veturia Chiroiu
KEYWORDS:
Hysteresis Operator, KdV Equations with Hysteresis
JOURNAL NAME:
World Journal of Mechanics,
Vol.1 No.1,
January
30,
2011
ABSTRACT: This paper discusses the generalized play hysteresis operator in connection with the KdV equation. Results from the nonlinear semigroup theory are applied to assure the existence and uniqueness. The KdV equation with hysteresis is reduced to a system of differential inclusions and solved.