Periodic Solutions Of The Equivlent Hartman-type Problem For P(t)-laplacian Systems

In this paper, firstly, by using ininimax methods in critical point theory, we get the existence of the periodic solutions for the following p(t)-Laplacian systemThen, according to the above result, if (?)R＞0, such that <▽F(t, u), u>≤0 for t∈R1, (?)u∈RN with|u|= R, we show that the problem satisfies the Hartman-type result, that is, there is at least a solution u such that |u(t)|≤R for t∈[0,T].