Skip to main content
Log in

The least eigenvalue of Hill's equation

  • Published:
Journal d’Analyse Mathématique Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliography

  1. Floquet, G. Sur les équations différentielles linéaires à coefficients périodiques.Ann. Ecole Norm. Vol. 12 (1883) pp. 47–88.

    MathSciNet  Google Scholar 

  2. Hamel, G. Ueber lineare homogene Differentialgleichungen zweiter Ordnung mit periodischen Koeffizienten.Math. Ann. Vol. 73 (1912) pp. 371–412.

    Article  MathSciNet  Google Scholar 

  3. Hill, G. W. On the part of the motion of the lunar perigee.Acta Math. Vol. 8 (1886) pp. 1–36.

    Article  MathSciNet  Google Scholar 

  4. Leighton, W. Principal quadratic functionals and self-adjoint second-order differential equations.Proc. Nat. Acad. Sci. Vol. 35 (1949) pp. 192–193.

    Article  MATH  MathSciNet  Google Scholar 

  5. Markus, L. and Moore, R. A. Oscillation and disconjugacy for linear differential equations with almost periodic coefficients.Acta. Math. Vol 96 (1956) pp. 99–123.

    Article  MATH  MathSciNet  Google Scholar 

  6. Moore, R. A. The behavior of solutions of a linear differential equation of second order.Pac. Jour. of Math. Vol. 5 (1955) pp. 125–145.

    MATH  Google Scholar 

  7. Strutt, M. J. O. Lamésche Mathieusche und verwandte Funktionen in Physik und Technik. 1932, Springer, Berlin.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by the United States Air Force Office of Scientific Research.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moore, R.A. The least eigenvalue of Hill's equation. J. Anal. Math. 5, 183–196 (1956). https://doi.org/10.1007/BF02937345

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02937345

Keywords

Navigation