# Dynamic analysis of an impulsive differential equation with time-varying delays

Applications of Mathematics (2014)

- Volume: 59, Issue: 1, page 85-98
- ISSN: 0862-7940

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topLi, Ying, and Shao, Yuanfu. "Dynamic analysis of an impulsive differential equation with time-varying delays." Applications of Mathematics 59.1 (2014): 85-98. <http://eudml.org/doc/260796>.

@article{Li2014,

abstract = {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.},

author = {Li, Ying, Shao, Yuanfu},

journal = {Applications of Mathematics},

keywords = {periodic solution; permanence; attractivity; impulse; delay; periodic solution; permanence; attractivity; impulse; delay},

language = {eng},

number = {1},

pages = {85-98},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Dynamic analysis of an impulsive differential equation with time-varying delays},

url = {http://eudml.org/doc/260796},

volume = {59},

year = {2014},

}

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

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 59

IS - 1

SP - 85

EP - 98

AB - 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.

LA - eng

KW - periodic solution; permanence; attractivity; impulse; delay; periodic solution; permanence; attractivity; impulse; delay

UR - http://eudml.org/doc/260796

ER -

## References

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