Stability of discontinuous differential equations with finite number of retarded terms by lyapunov functions

Abstract

We consider here a class of second-order discontinuous differential equations with a finite number of nterms with retarded arguments; using lyapunov-type functions we prove, under suitable conditions, that the zero solutions of these Equations are globally uniformly asympototically stable.

Keywords:

• Retarded discontinues
• differential equations
• stability theory

AMS(MOS)::

• 34K20
• 34D20