一类带强制位势的二阶Hamilton系统的同宿轨的存在性(英文)

Existence of Homoclinic Orbits for a Class of Second-order Hamiltonian System with Coercive Potential

通过对一列由最小作用原理得到的零边值问题的解取极限,得到了二阶哈密尔顿系统櫣(t)-V(t,u(t))=f(t)同宿轨的存在性结论.

The existence of homoclinic solution is obtained for second-order Hamiltonian systems ü（t）-V（t,u（t））=f（t）,as the limit of a sequence of solutions for nil-boundary-value problems which are obtained via the least action principle.