系统科学与数学
繫統科學與數學
계통과학여수학
JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES
2013年
2期
222-230
,共9页
Hamilton系统%同宿轨道%山路引理%Cerami序列
Hamilton繫統%同宿軌道%山路引理%Cerami序列
Hamilton계통%동숙궤도%산로인리%Cerami서렬
利用Brezis-Nirenberg型山路定理,证明了二阶周期Hamilton系统(q)-L(t)q+Wq(t,q)=0,t∈R同宿轨道的存在性.这里W(t,q)满足非Ambrosetti-Rabinowitz型超二次条件qWq(t,q)-2W(t,q)≥d3 ｜q｜μ,(V)t∈R,｜q｜＞h,其中h,μ,d3 ＞0.
利用Brezis-Nirenberg型山路定理,證明瞭二階週期Hamilton繫統(q)-L(t)q+Wq(t,q)=0,t∈R同宿軌道的存在性.這裏W(t,q)滿足非Ambrosetti-Rabinowitz型超二次條件qWq(t,q)-2W(t,q)≥d3 ｜q｜μ,(V)t∈R,｜q｜＞h,其中h,μ,d3 ＞0.
이용Brezis-Nirenberg형산로정리,증명료이계주기Hamilton계통(q)-L(t)q+Wq(t,q)=0,t∈R동숙궤도적존재성.저리W(t,q)만족비Ambrosetti-Rabinowitz형초이차조건qWq(t,q)-2W(t,q)≥d3 ｜q｜μ,(V)t∈R,｜q｜＞h,기중h,μ,d3 ＞0.
