具有障礙的二階Hamiltonian系統(tǒng)的周期解.pdf

1、云南師范大學(xué)碩士學(xué)位論文具有障礙的二階Hamiltonian系統(tǒng)的周期解姓名：王少敏申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：吳鮮20060501碩士畢業(yè)論文AbstractThemainpurposeofthisdissertationistostudytheexistenceofperiodicsolutionsforthefollowingsecondorderHamiltoniansystems：一j=f(t，z)satisfy

2、ingthefollowingconditions：x(t)≥0，Vt∈R(11)(12)k(to)=一童(時)，i，x(to)=0(13)Sinceinsomeconditions，theabovesystemsareequivalenttothefollowingsys—tems：，口(童。)=一／z(t(27rIx)t)：sg圣n((x。))一士(27r)：0，(j)l口(o)一z(27r)=圣(o)一士(27r)=，、7or，蒜

3、麓z(27Ir駕2(‘葛。州。啦0∽，1z(o))=)士(27r)=、’So，inthisdissertation，weobtainsomeexistencetheoremsofproblem(11)sat—isfying(12)and(13)byresearchingtheperiodicsolutionsofsystems(I)or(II)viasomenewcriticalpointstheoremoflocaUyLipschit