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n-维Duffing型系统的2π-周期解(Ⅱ) 被引量:1

Zπ-PERIOPIC SOLUTIONS TO N-DIMENSIONAL SYSTEMS OF DUFFING'S TYPE (Ⅱ)
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摘要 本文研究Duffing型系统当A是一般矩阵或反对称矩阵时2π-周期解的存在性. s A is a general matrix of a anti-symmetric matrix,the existence of Zπ - periodic solutions for the following Duffing's take equation is considered. The coercivity conditions about G(t,x) are used here and a previous result given by Mawhin and Willem is improved.
作者 韩志清
机构地区 青岛大学数学系
出处 《青岛大学学报(自然科学版)》 CAS 1994年第3期19-26,共8页 Journal of Qingdao University(Natural Science Edition)
关键词 周期解 叠合度 临界点 杜分系统 Duffing's system periodic solutions coincidence degree critical points
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同被引文献5

  • 1MAWHIN J, WILLEM M. Critcal Point Theory and Hamiltonian Systems [ M]. New York: Springer- Verlag, 1989.
  • 2MA JIAN, TANG CHUN- LEI. Periodic solution of a class of non -autonomous second order systems [J]. J. Math. Anal. Appl., 2002, 275:482-494.
  • 3WU XING PING, TANG CHUN LEI. Periodic solution of a class of non - autonomous second order systems [ J]. J. Math. Anal. Appl., 1999, 236:227-235.
  • 4TANG CHUN LEI. Periodic solution of some non - autonomous second order system [ J]. J. Math. Anal. Appl. , 1996, 202:465 -469.
  • 5韩志清.n-维Duffing型系统的2π-周期解.非线性分析及应用[M].北京:北京科技出版社,1994.

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