Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sign (I)

[摘要] We consider the periodic solutions of the second order Hamiltonian system -x-lambda x = h (t) V'(x) with V being positive and superquadratic at infinity, h being continuous, 2 pi-periodic, sign changing and satisfying <({t vertical bar h(t) > 0})over bar > boolean AND <({t vertical bar h(t) < 0})over bar > = O. Some existence and multiplicity results of periodic solutions are given. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2005-12-15