TY - JOUR
T1 - Existence of Periodic Solutions in Impulsive Differential Equations
AU - Jiang , Fangfang
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 53
EP - 70
PY - 2021
DA - 2021/04
SN - 3
DO - http://doi.org/10.12150/jnma.2021.53
UR - https://global-sci.org/intro/article_detail/jnma/18777.html
KW - Impulse, Poincaré-Bohl theorem, Periodic solution, Existence.
AB - <p style="text-align: justify;">In this paper, we are concerned with the problem of existence of
periodic solutions for a class of second order impulsive differential equations.
By Poincaré-Bohl theorem, we give several criteria to guarantee that the impulsive differential equation has periodic solutions under assumptions that the
nonlinear term satisfies the linear growth conditions. Two specific examples
are presented to illustrate the obtained results.</p>