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Stability processes of moving invariant manifolds in uncertain impulsive differential-difference equations. (English) Zbl 1212.34225

Summary: We present a result on the stability of moving invariant manifolds of nonlinear uncertain impulsive differential-difference equations. The result is obtained by means of piecewise continuous Lyapunov functions and a comparison principle.

MSC:

34K20 Stability theory of functional-differential equations
34K19 Invariant manifolds of functional-differential equations
34K45 Functional-differential equations with impulses
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