In this paper, we study the existence and multiplicity of positive periodic and subharmonic solutions of second order singulardifferential equations with impulsive effects. The proof is based on a generalized version of the Poincar\'{e}-Birkhoff twist theorem due to Ding and some phase plane analysis methods.
@article{mc1951,
author = {Liang, Zaitao},
title = {Positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects},
journal = {Mathematical Communications},
volume = {22},
number = {1},
year = {2017},
pages = { 193-209},
language = {eng},
url = {http://dml.mathdoc.fr/item/mc1951}
}
Liang, Zaitao. Positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects. Mathematical Communications, Tome 22 (2017) no. 1, pp. 193-209. http://gdmltest.u-ga.fr/item/mc1951/