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

Serdica Mathematical Journal (1996)

- Volume: 22, Issue: 2, page 83-90
- ISSN: 1310-6600

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topStamov, 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 -

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