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Integral Manifolds and Bounded Solutions of Singularly Perturbed Systems of Impulsive Differential Equations

Stamov, Gani — 1998

Serdica Mathematical Journal

Sufficient conditions for the existence of bounded solutions of singularly perturbed impulsive differential equations are obtained. For this purpose integral manifolds are used.

Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations.

Stamova, Ivanka M.; Stamov, Gani T. — 2008

Electronic Journal of Differential Equations (EJDE) [electronic only]

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

Gani Tr. Stamov — 2009

Mathematica Bohemica

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.

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