§ 1. IntroductionIn the present paper, we study following Hamiltonian system of Second-order:(1) with the boundary conditionx (0) = x (2jr) , x’ (0) = x’ (2w) ,(2)where p(t) ￡O(R, Rn"), G(t, x) ￡O(RxR...§ 1. IntroductionIn the present paper, we study following Hamiltonian system of Second-order:(1) with the boundary conditionx (0) = x (2jr) , x’ (0) = x’ (2w) ,(2)where p(t) ￡O(R, Rn"), G(t, x) ￡O(RxR", R). P(-) and &( , x) are 25F-periodio functions. Vj, or G’x(t, a/) will denote the gradient with respect to x. Moreover, we shall always assume that G’x(t, x) is continuous.展开更多
文摘§ 1. IntroductionIn the present paper, we study following Hamiltonian system of Second-order:(1) with the boundary conditionx (0) = x (2jr) , x’ (0) = x’ (2w) ,(2)where p(t) ￡O(R, Rn"), G(t, x) ￡O(RxR", R). P(-) and &( , x) are 25F-periodio functions. Vj, or G’x(t, a/) will denote the gradient with respect to x. Moreover, we shall always assume that G’x(t, x) is continuous.
