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Periodic solutions of non-linear differential equations of the second order. IV

Published online by Cambridge University Press:  24 October 2008

Chike Obi
Chike Obi
Affiliation:
Pembroke CollegeCambridge and the Massachusetts Institute of Technology Cambridge (U.S.A), Under the Foreign Students Summer Project
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Extract

1.1. This paper is a theoretical investigation in the real domain of the existence of subharmonic solutions of non-linear differential equations of the form

where F is analytic and of least period 2π/ω in t; ε = (ε1, …, εn) is small; and F(x, ẋ, 0, t) is not linear in x and ẋ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 4 , October 1951 , pp. 741 - 751
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

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