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Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations
Authors:Zhiguo Luo  Jing Xiao
Affiliation:
  • a Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
  • b Department of Mathematics, Xiangnan College, Chenzhou, Hunan 423000, China
  • Abstract:This paper uses critical point theory and variational methods to investigate the subharmonic solutions with prescribed minimal period for a class of second-order impulsive differential equations. The conditions for the existence of subharmonic solutions are established. Our results rectify some known results in the literature and will allow us, in the future, to deal with the subharmonic solutions for more extensive impulsive problems.
    Keywords:34B15   34B18   34B37   58E30
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