Antiperiodic solutions of fourth‐order impulsive differential equation
Copyright policy )Antiperiodic solutions of fourth‐order impulsive differential equation
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.
- Beijing University of Posts and Telecommunications China (People's Republic of)
Periodic optimal control problems, variational approaches, Variational methods applied to PDEs, Nonlinear boundary value problems for ordinary differential equations, impulsive differential equation, Impulsive optimal control problems, closed convex set, minimizing sequence, Lipschitzian functions, antiperiodic solution
Periodic optimal control problems, variational approaches, Variational methods applied to PDEs, Nonlinear boundary value problems for ordinary differential equations, impulsive differential equation, Impulsive optimal control problems, closed convex set, minimizing sequence, Lipschitzian functions, antiperiodic solution
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