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Boundedness and convergence of solutions of Duffing’s equation

Published online by Cambridge University Press:  22 January 2016

Kenichi Shiraiwa
Kenichi Shiraiwa*
Affiliation:
Department of Mathematics, College of General Education Nagoya University
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In this paper, we shall discuss boundedness of solutions of the equation

under suitable conditions. And we shall discuss asymptotic stability of a periodic solution and convergence of solutions for the equation

for a positive constant cand a periodic function e(t)under some restricted conditions.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 66 , May 1977 , pp. 151 - 166
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

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[3] Kawakami, H.: Qualitative study on the solutions of Duffing’s equation, Thesis (1973), Kyoto University.Google Scholar
[4] Loud, W. S.: Boundedness and convergence of solutions of x″+cx′+g(x)=e(t) , Duke Math. J., 24 (1957), 63–72.Google Scholar