MATHEMATICA BOHEMICA, Vol. 134, No. 1, pp. 67-76, 2009

Stability processes of moving invariant manifolds in uncertain impulsive differential-difference equations

Gani Tr. Stamov

Gani Tr. Stamov, Technical University-Sofia, 8800 Sliven, Bulgaria, e-mail: gstamov@abv.bg

Abstract: 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.

Keywords: moving invariant set, stability theory, uncertain impulsive differential-difference system

Classification (MSC 2000): 34A37, 34K45


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