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非线性微分方程有界解存在性(英文)

The existence of bounded solution of nonlinear differential equations
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摘要 利用广义指数型二分性和不动点原理,得到非线性常微分方程有界解存在性,推广了文献[1]、[2]和[3]的某些结果. By using generalized exponential dichotomy and fixed point theorem, we obtain the existence of bounded soulution of the nonlinear ordinary differential equation which generalizes the results in , , .
作者 林木仁
出处 《福州大学学报(自然科学版)》 CAS CSCD 2004年第4期401-404,共4页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省教育厅科研资助项目(JB03059)
关键词 有界解 广义指数型二分性 不动点 紧算子 bounded solution generalized exponential dichotomy fixed point compact operator
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参考文献5

  • 1Coppel W A. Almost periodic properties of ordinary differential equations[J]. Ann Math Pura Appl, 1967, 76: 27-50.
  • 2Zeng Weiyao. Periodic solution and almost periodic solution of differential equation in critical case[J]. Ann of Diff Eqs, 1987, 3(4): 471-481.
  • 3Xu Jianhua, Zheng Zuxiu. The existence of almost periodic solution to nonlinear differential equations[J]. Ann of Diff Eqs, 1998, 14(2): 346-349.
  • 4Martin J R H. Condition stability and separation of solution of differential equations[J]. J Differential Equations, 1973, 13: 81-105.
  • 5Lin Muren. A sufficient condition for generalized exponential dichotomies[J]. Ann of Diff Eqs, 1992, 8(1): 33-41.

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