Geodesic
Application of Lyapunov's Direct Method to the Study of the Stability of Solutions to Systems of Impulsive Differential Equations
Matematičeskie zametki, Tome 96 (2014) no. 1, pp. 22-35

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Classical theorems on the stability of the solutions of impulsive differential equations are further developed.
Keywords: impulsive differential equation, Lyapunov's direct method, Lyapunov (asymptotic) stability, Cauchy problem, equilibrium state stability, Hahn function class. 
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     author = {A. I. Dvirnyj and V. I. Slyn'ko},
     title = {Application of {Lyapunov's} {Direct} {Method} to the {Study} of the {Stability} of {Solutions} to {Systems} of {Impulsive} {Differential} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
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A. I. Dvirnyj; V. I. Slyn'ko. Application of Lyapunov's Direct Method to the Study of the Stability of Solutions to Systems of Impulsive Differential Equations. Matematičeskie zametki, Tome 96 (2014) no. 1, pp. 22-35. http://geodesic.mathdoc.fr/item/MZM_2014_96_1_a2/