Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations

Stamov, G.. "Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations." Serdica Mathematical Journal 22.2 (1996): 83-90. <http://eudml.org/doc/11632>.

@article{Stamov1996,
abstract = {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.},
author = {Stamov, G.},
journal = {Serdica Mathematical Journal},
keywords = {Integral Manifold; Impulsive Differential Equations; impulsive differential equation; integral manifold; piecewise continuous Lyapunov functions; invariant set; impulsive system with variable moments of impacts},
language = {eng},
number = {2},
pages = {83-90},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations},
url = {http://eudml.org/doc/11632},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Stamov, G.
TI - Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 2
SP - 83
EP - 90
AB - 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.
LA - eng
KW - Integral Manifold; Impulsive Differential Equations; impulsive differential equation; integral manifold; piecewise continuous Lyapunov functions; invariant set; impulsive system with variable moments of impacts
UR - http://eudml.org/doc/11632
ER -