Periodic solutions for nonautonomous second order systems with sublinear nonlinearity. (English) Zbl 0902.34036

Tang, Chun-Lei

Proc. Am. Math. Soc. 126, No. 11, 3263-3270 (1998).

Summary: The existence and multiplicity of periodic solutions are obtained for nonautonomous second-order systems with sublinear nonlinearity by using the least action principle and the minimax method.

MSC:

34C25	Periodic solutions to ordinary differential equations
58E50	Applications of variational problems in infinite-dimensional spaces to the sciences

Keywords:

coercive; the (PS) condition; Sobolev’s inequality; Wirtinger’s inequality; the least action principle; the saddle point theorem; periodic solutions