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共振下n维Lienard型方程的2π周期解 被引量:1

2π-Periodic Solutions of N-Dimensional Lienard Type Equations at Resonance
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摘要 本文在跨共振点条件下证明n维Lienard型方程存在2π周期解. Using the Mawhin's Coincidence degree theory, some conditions derived which guarantee the existence of 2π-Periodic Solutions for n-dimensional Lienard type equations. The results, in a sense, make a brekthrough at the restriction of avoiding resonance.
作者 黄先开
机构地区 北京商学院
出处 《应用数学》 CSCD 北大核心 1991年第3期30-35,共6页 Mathematica Applicata
关键词 LIENARD方程 周期解 共振 Lienard equations Periodic Solution At resonance
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参考文献2

  • 1J. Mawhin,J. R. Ward. Periodic solutions of some forced Liénard differential equations at resonance[J] 1983,Archiv der Mathematik(4):337~351 被引量:1
  • 2Rolf Reissig. Extension of some results concerning the generalized Liénard equation[J] 1975,Annali di Matematica Pura ed Applicata, Series 4(1):269~281 被引量:1

同被引文献3

  • 1G. Conti,B. Iannacci,M. N. Nkashama. Periodic solutions of Liénard systems at resonance[J] 1985,Annali di Matematica Pura ed Applicata(1):313~327 被引量:1
  • 2J. Mawhin,J. R. Ward. Periodic solutions of some forced Liénard differential equations at resonance[J] 1983,Archiv der Mathematik(4):337~351 被引量:1
  • 3Rolf Reissig. Extension of some results concerning the generalized Liénard equation[J] 1975,Annali di Matematica Pura ed Applicata, Series 4(1):269~281 被引量:1

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