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Almost periodic solutions for nonlinear duffing equations

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Abstract

The main purpose of this paper is to investigate the existence of almost periodic solutions for the Duffing differential equation. By combining the theory of exponential dichotomies with Liapunov functions, we obtain an intersting result on the existence of almost periodic solutions.

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References

  1. Zeng W Y, Shi Jinlin. Almost periodic solutions for generalized Duffing equation. Annals of Mathematics, to appear

  2. Berger M S, Chen Y Y. Forced quaiperiodic and almost periodic oscillations of nonlinear Duffing equations. Nonlinear Analysis, 1992, 19: 249–257

    Article  MathSciNet  Google Scholar 

  3. Zeng W Y. The existence of almost periodic solutions of a type of two-dimensional differential equations. Chinese Ann of Math, 1993, 14A: 507–514

    Google Scholar 

  4. Zeng W Y. Almost periodic solutions forn-dimensional nonautonomous differential equations. Chinese universities Applied Mathematics, 1992, 7: 610–614

    Google Scholar 

  5. Coppel W A. Dichotomies in Stability Theory. Springer-Verlag, 1978

  6. Fink A M. Almost Periodic Differential Equation. Springer-Verlag, 1978

  7. Yoshizawa T. Stability Theory and The Existence of Periodic and Almost Periodic Solutions of Differential Equations. Springer-Verlag, 1978

  8. Lin Z S. Almost Periodic Differential Equations and Integral Manifolds (in chinese). Shanghai: Shanghai Sci Tech Pub Press, 1987

    Google Scholar 

  9. He C Y. Almost Periodic Differential Equations. Beijing: High Education Press, 1992

    Google Scholar 

  10. Lin F X. The existence of almost periodic solutions and periodic solutions. Chin Ann of Math, 1990, 11B: 525–535

    Google Scholar 

  11. Zeng W Y. The roughness and existence of exponential dichotomies. Chin Ann of Math, 1990, 11A: 761–768

    Google Scholar 

  12. Zeng W Y. Almost periodic solutions for Abel equations. Intern Math Sci & Math, to appear

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This work is supported by NSF of China, No.19401013

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Weiyao, Z. Almost periodic solutions for nonlinear duffing equations. Acta Mathematica Sinica 13, 373–380 (1997). https://doi.org/10.1007/BF02560018

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  • DOI: https://doi.org/10.1007/BF02560018

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