Antiperiodic solutions of fourth-order impulsive differential equation

作者：Tian, Yu; Shang, Suiming^*; Huo, Qiang

来源：Mathematical Methods in the Applied Sciences, 2018, 41(2): 769-780.

DOI：10.1002/mma.4643

• antiperiodic solution
• closed convex set
• impulsive
• Lipschitzian functions
• minimizing sequence
• variational approaches

In this paper, the existence of antiperiodic solutions for fourth-order impulsive differential equation is obtained by variational approaches and results on the auxiliary system. It is interesting that there is no growth restraint on nonlinear terms and impulsive terms. Besides, any minimizing sequence is bounded in a closed convex set of a space composed of Lipschitzian functions with the appearance of antiperiodic boundary value conditions.

• 出版日期2018-1-30
• 单位北京邮电大学