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The Rayleigh and Van der Pol wave equations, some generalizations

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 703))

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Support for this work was provided in part by the Office of Research and in part by the Center for International Studies, University of Pittsburgh.

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References

  1. H. Brezis: Operateurs Maximaux Monotones, North Holland, Amsterdam, 1973

    MATH  Google Scholar 

  2. S.C. Chikwendu and J. Kevorkian: A perturbation method for hyperbolic equations with small nonlinearities, SIAM J.Appl.Math. 22 (1972), 235–258

    Article  MathSciNet  MATH  Google Scholar 

  3. A.D.Cooke, C.J.Myerscough and M.D.Rowbottom: The growth of full span galloping oscillations, Laboratory Note RD/L/N51/72, Central Electricity Research Laboratories, Leatherhead, Surrey, England

    Google Scholar 

  4. J.P. Fink, W.S. Hall and A.R. Hausrath: A convergent two-time method for periodic differential equations, J.Differential Equations 15 (1974), 459–498

    Article  MathSciNet  MATH  Google Scholar 

  5. J.P. Fink, A.R. Hausrath and W.S. Hall: Discontinuous periodic solutions for an autonomous nonlinear wave equation, Proc. Royal Irish Academy 75 A 16 (1975), 195–226

    MathSciNet  MATH  Google Scholar 

  6. W.S.Hall: Two timing for abstract differential equations, Lecture Notes in Mathematics 415, Ordinary and Partial Differential Equations, Springer, 1974, 368–372

    Google Scholar 

  7. W.S.Hall: The Rayleigh wave equation — an analysis, J.Nonlinear Anal., Tech.Meth.Appl., to appear

    Google Scholar 

  8. J. Kurzweil: Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter, Czech. Math.J. 16 (91), (1966), 380–423 and 463–492

    MathSciNet  MATH  Google Scholar 

  9. J. Kurzweil: Van der Pol perturbations of the equation for a vibrating string, Czech.Math.J. 17 (2), (1967), 588–608

    MathSciNet  Google Scholar 

  10. M. Štědrý and O. Vejvoda: Periodic solutions to weakly nonlinear autonomous wave equations, Czech:Math.J. 25 (100), (1975), 536–554

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics/Statistics, University of Pittsburgh, 15260, PA, USA

    W. S. Hall

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  1. W. S. Hall
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Jiří Fábera

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© 1979 Spring-Verlag

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Hall, W.S. (1979). The Rayleigh and Van der Pol wave equations, some generalizations. In: Fábera, J. (eds) Equadiff IV. Lecture Notes in Mathematics, vol 703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067265

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  • DOI: https://doi.org/10.1007/BFb0067265

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09116-5

  • Online ISBN: 978-3-540-35519-9

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