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Branching of periodic solutions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 312)

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References

  1. C.A. Harvey, "Periodic Solutions of the Differential Equation x″+g(x)=p(t)," Contributions to Differential Equations, 1 (1962) 425–451.

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  2. D.E. Leach, "On Poincasé's Perturbation Theorem and a Theorem of W. S. Loud," J. Differential Equations, 7 (1970) 34–53.

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  3. W.S. Loud, "Periodic Solutions of Nonlinear Differential Equations of Duffing Type," Proceedings U.S. — Japan Seminar, Benjamin, New York (1967) 199–224.

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  4. W.S. Loud, "Branching Phenomena for Periodic Solutions of Nonautonomous Piecewise Linear Systems," Int. J. of Nonlinear Mechanics, 3 (1968) 273–293.

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  5. W.S. Loud, "Nonsymmetric Period Solutions of Certain Second Order Nonlinear Differential Equations", J. Differential Equations, 7(1970) 352–368.

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  6. W.S. Loud, "Subharmonic Solutions of Second Order Equations Arising near Harmonic Solutions", J. Differential Equations, 11(1972) 628–660.

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  7. H.L. Turrittin and W.J.A. Culmer, "A Peculiar Periodic Solution of a Modified Duffing's Equation," Ann. di Mat. Pura ed Appl. (IV) 44 (1957) 23–34.

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  8. D.L. Markusen, Dana Young, H. L. Turrittin, W.S. Loud, P.N. Hess W.J.A. Culmer, and E.J. Putzer, Minneapolis-Honeywell Aero Report AD5042-TR4, Vol. III "Analysis of Systems with Nonlinear Restoring Forces and Limiting,"1963.

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© 1973 Springer-Verlag

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Loud, W.S. (1973). Branching of periodic solutions. In: Harris, W.A., Sibuya, Y. (eds) Symposium on Ordinary Differential Equations. Lecture Notes in Mathematics, vol 312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060048

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  • DOI: https://doi.org/10.1007/BFb0060048

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06146-5

  • Online ISBN: 978-3-540-38353-6

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