摘要
In this paper the existence results of oscillatory periodic solutions are obtained for a second order ordinary differential equation -u″(t) = f(t, u(t)), where f : R^2 → R is a continuous odd function and is 2π-periodic in t. The discussion is based on the fixed point index theory in cones.
In this paper the existence results of oscillatory periodic solutions are obtained for a second order ordinary differential equation -u″(t) = f(t, u(t)), where f : R^2 → R is a continuous odd function and is 2π-periodic in t. The discussion is based on the fixed point index theory in cones.
基金
Research supported by the Mathematical Tianyuan Foundation of China (10226029), NSF of Gansu Province (ZS031-A25-003-Z)
NWNU-KJCXGC212 Foundation