Instability for a class of second order delay differential equations

Abstract

There exists a well-developed stability theory for all classes of functional-differential equations and only few results on instability. The aim of this paper is partially reduce this gap. For linear delay differential equations, integro-differential equations and equations with distributed delays of the second order with damping terms explicit instability conditions are obtained.

Keywords

• instability
• second order delay differential equations
• integro-differential equations
• equations with distributed delays
• damping terms