Dynamic analysis of an impulsive differential equation with time-varying delays
Applications of Mathematics, Tome 59 (2014) no. 1, pp. 85-98
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results.
An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results.
DOI :
10.1007/s10492-014-0043-9
Classification :
34D20, 34D23, 34K13, 34K45, 93D20
Keywords: periodic solution; permanence; attractivity; impulse; delay
Keywords: periodic solution; permanence; attractivity; impulse; delay
@article{10_1007_s10492_014_0043_9,
author = {Li, Ying and Shao, Yuanfu},
title = {Dynamic analysis of an impulsive differential equation with time-varying delays},
journal = {Applications of Mathematics},
pages = {85--98},
year = {2014},
volume = {59},
number = {1},
doi = {10.1007/s10492-014-0043-9},
mrnumber = {3164578},
zbl = {06346374},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0043-9/}
}
TY - JOUR AU - Li, Ying AU - Shao, Yuanfu TI - Dynamic analysis of an impulsive differential equation with time-varying delays JO - Applications of Mathematics PY - 2014 SP - 85 EP - 98 VL - 59 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0043-9/ DO - 10.1007/s10492-014-0043-9 LA - en ID - 10_1007_s10492_014_0043_9 ER -
%0 Journal Article %A Li, Ying %A Shao, Yuanfu %T Dynamic analysis of an impulsive differential equation with time-varying delays %J Applications of Mathematics %D 2014 %P 85-98 %V 59 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0043-9/ %R 10.1007/s10492-014-0043-9 %G en %F 10_1007_s10492_014_0043_9
Li, Ying; Shao, Yuanfu. Dynamic analysis of an impulsive differential equation with time-varying delays. Applications of Mathematics, Tome 59 (2014) no. 1, pp. 85-98. doi: 10.1007/s10492-014-0043-9
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