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Green’s functions and spectral theory for the Hill’s equation

Author

Listed:
  • Cabada, Alberto
  • Cid, José A.
  • López-Somoza, Lucía

Abstract

The aim of this paper is to show certain properties of the Green’s functions related to the Hill’s equation coupled with various two point boundary value conditions. We will obtain the expression of the Green’s function of Neumann, Dirichlet, Mixed and anti-periodic problems as a combination of the Green’s function related to periodic ones.

Suggested Citation

  • Cabada, Alberto & Cid, José A. & López-Somoza, Lucía, 2016. "Green’s functions and spectral theory for the Hill’s equation," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 88-105.
    • Handle: RePEc:eee:apmaco:v:286:y:2016:i:c:p:88-105
    DOI: 10.1016/j.amc.2016.03.039
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