一类带强制位势的二阶Hamilton系统的同宿轨的存在性
일류대강제위세적이계Hamilton계통적동숙궤적존재성
Existence of Homoclinic Orbits for a Class of Second-order Hamiltonian System with Coercive Potential
  • 万方数据
    西南师范大学学报（自然科学版） 서남사범대학학보（자연과학판）
    JOURNAL OF SOUTHWEST CHINA NORMAL UNIVERSITY
    2011年 1期 52-57 ,共6页

    吴东伦%吴行平%唐春雷

    오동륜%오행평%당춘뢰

    临界点%强制位势%二阶 Hamilton 系统%同宿轨 臨界點%彊製位勢%二階 Hamilton 繫統%同宿軌
    림계점%강제위세%이계 Hamilton 계통%동숙궤
    critical point%coercive potential%second-order Hamiltonian system%homoclinic orbits
    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(ū)(t)-ΔV(t,u(t))=f(t)同宿轨的存在性结论.
    통과대일렬유최소작용원리득도적령변치문제적해취겁한,득도료이계합밀이돈계통(ū)(t)-ΔV(t,u(t))=f(t)동숙궤적존재성결론.
    The existence of homoclinic solution is obtained for second-order Hamiltonian systems ii(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.
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