Almost Periodicity and Lyapunov's Functions for Impulsive Functional Differential Equations with Infinite Delays
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 367-377
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This paper studies the existence and uniqueness of almost periodic solutions of nonlinear impulsive functional differential equations with infinite delay. The results obtained are based on the Lyapunov–Razumikhin method and on differential inequalities for piecewise continuous functions.
Mots-clés :
34K45, 34B37, almost periodic solutions, impulsive functional differential equations
Stamov, Gani Tr. Almost Periodicity and Lyapunov's Functions for Impulsive Functional Differential Equations with Infinite Delays. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 367-377. doi: 10.4153/CMB-2010-040-3
@article{10_4153_CMB_2010_040_3,
author = {Stamov, Gani Tr.},
title = {Almost {Periodicity} and {Lyapunov's} {Functions} for {Impulsive} {Functional} {Differential} {Equations} with {Infinite} {Delays}},
journal = {Canadian mathematical bulletin},
pages = {367--377},
year = {2010},
volume = {53},
number = {2},
doi = {10.4153/CMB-2010-040-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-040-3/}
}
TY - JOUR AU - Stamov, Gani Tr. TI - Almost Periodicity and Lyapunov's Functions for Impulsive Functional Differential Equations with Infinite Delays JO - Canadian mathematical bulletin PY - 2010 SP - 367 EP - 377 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-040-3/ DO - 10.4153/CMB-2010-040-3 ID - 10_4153_CMB_2010_040_3 ER -
%0 Journal Article %A Stamov, Gani Tr. %T Almost Periodicity and Lyapunov's Functions for Impulsive Functional Differential Equations with Infinite Delays %J Canadian mathematical bulletin %D 2010 %P 367-377 %V 53 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-040-3/ %R 10.4153/CMB-2010-040-3 %F 10_4153_CMB_2010_040_3
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