Geodesic
Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations
Serdica Mathematical Journal, Tome 22 (1996) no. 2, pp. 83-90.

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The present paper investigates the existence of integral manifolds for impulsive differential equations with variable perturbations. By means of piecewise continuous functions which are generalizations of the classical Lyapunov’s functions, sufficient conditions for the existence of integral manifolds of such equations are found.
Keywords: Integral Manifold, Impulsive Differential Equations 
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     author = {Stamov, G.},
     title = {Application of {Lyapunov's} {Direct} {Method} to the {Existence} of {Integral} {Manifolds} of {Impulsive} {Differential} {Equations}},
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Stamov, G. Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations. Serdica Mathematical Journal, Tome 22 (1996) no. 2, pp. 83-90. http://geodesic.mathdoc.fr/item/SMJ2_1996_22_2_a1/