具有次二次双偶位势的二阶哈密顿系统多重非平凡奇周期解的存在性

Existence and Multiplicity of Nontrivial odd Periodic Solutions of Second order Hamiltonian Systems with Bi-even Subquadratic Potentials

利用变分理论中的Clark定理,讨论了一类具有次二次双偶位势的二阶哈密顿系统(x|¨)(t)+V_x(t,x(t))=0多重非平凡奇周期解的存在性.

Existence and multiplicity of nontrivial odd periodic solutions of second order Hamiltonian systemsx（t）＋Vx（t,x（t））=0 with bi-even subquadratic potentials are discussed by Clark Theorem in variational methods.