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Existence and impulsive stability for second order retarded differential equations. (English) Zbl 1105.34049

The authors consider certain impulsive second-order delay differential equations and give conditions for the existence of solutions. Moreover, they prove that the nonimpulsive equations can be stabilized by proper impulse control generalizing recent results by Li and Weng. They also comment on some possible applications and give examples.

MSC:

34K20 Stability theory of functional-differential equations
34K35 Control problems for functional-differential equations
34K45 Functional-differential equations with impulses
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