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Antiperiodic solutions of fourth‐order impulsive differential equation
Author(s) -
Tian Yu,
Shang Suiming,
Huo Qiang
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4643
Subject(s) - mathematics , boundary value problem , mathematical analysis , bounded function , differential equation , nonlinear system , partial differential equation , initial value problem , regular polygon , geometry , physics , quantum mechanics
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.