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Analytic Theory of Differential Equations pp 28–34Cite as

Small solutions of a high frequency linear oscillator

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 183))

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References

  1. E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.

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  2. N. Dunford and J. Schwartz, Linear Operators, II Interscience, New York, 1963.

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  3. N. Everitt, On the limit-point classification of second-order differential operators, J. London Math. Soc. 4 (1966), 531–534.

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  4. H.E. Gollwitzer, Asymptotic phenomena associated with a linear second order differential operator (to appear).

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  5. P. Hartman and A. Wintner, Criteria of non-degeneracy for the wave equation, Amer. J. Math. 70 (1948), 295–308.

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  6. P. Hartman, The existence of large or small solutions of linear differential equations, Duke Math. J. 28 (1961), 421–429.

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  7. J.W. Macki and J.S. Muldowney, The asymptotic behavior of solutions to linear systems of ordinary differential equations (to appear).

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  8. Z. Opial, Nouvelles remarques sur l'equation differentielle u″ + a(t)u=0, Ann. Polon. Math. 6 (1959), 75–81.

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  9. Z. Opial, Sur les solutions de classe (L2) de l'equation differentielle u″ + q(t)u=0, Ann.Polon. Math. 7 (1960), 293–303.

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Authors and Affiliations

  1. Drexel University, USA

    H. E. Gollwitzer

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  1. H. E. Gollwitzer
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P. F. Hsieh A. W. J. Stoddart

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© 1971 Springer-Verlag

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Gollwitzer, H.E. (1971). Small solutions of a high frequency linear oscillator. In: Hsieh, P.F., Stoddart, A.W.J. (eds) Analytic Theory of Differential Equations. Lecture Notes in Mathematics, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060408

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  • DOI: https://doi.org/10.1007/BFb0060408

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05369-9

  • Online ISBN: 978-3-540-36454-2

  • eBook Packages: Springer Book Archive

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