[南京大学硕士学位拟周期波动方程的约化]梁振国

【南京大学硕士学位拟周期波动方程的约化】梁振国.pdf学 号:论文答辩日期:201年6月27日 指导教师:尤建功(签字)THESIS:REDUCIBILITYOFAQUASIPERIODICWAVEEQUATION SPECIALIZATION:FundamentalMathematics POSTGRADUATE:LiangZhenguo MENTOR:Prof.YouJiangong In thispaper.weprove that one dimensional quasi-periodicwave equation 0=n(2m)f3+u)+xxn-nn u(0,t)=u(π,t)=0 isreducible toa sinpleHamiltonianequationforasubset-typicdetailedpresentationfron the point ofview of time-discrete systemswe refer to[E1].Pe- riodic solutions are alwaysreducible[NS]butquasi-periodic are not-not evenLyapunov reducible.ThefirstexampleshadafunctionfthatwereonlycontinuousMi,G].
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