Periodic solutions of non-autonomous second order systems. (English) Zbl 0857.34044

Tang, Chunlei

J. Math. Anal. Appl. 202, No. 2, 465-469 (1996).

The author considers the boundary value problem of the second order system \(\ddot u(t)=\nabla F(t,u(t))\), \(u(0)-u(\tau)=\dot u(0)-\dot u(\tau)=0\). He obtains an existence theorem of periodic solutions of the system with classical theorems of variational calculus.

Reviewer: Huang Qiyu (Fujian)

MSC:

34C25	Periodic solutions to ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations

Keywords:

boundary value problem; second order system; periodic solutions