Hill's equation systems and infinite determinants

Denk, Robert

Hill's equation systems and infinite determinants

Files

Hills_equation_systems_and_infinite_determinants.pdf(626.51 KB)

Date

1995

Publication type

Journal article

Published in

Mathematische Nachrichten ; 175 (1995). - pp. 47-60. - ISSN 0025-584X. - eISSN 1522-2616

Abstract

In this paper a method is developed to calculate the Floquet exponents of the matrix-valued version of Hill's equation using infinite determinants. It is shown that the Floquet exponents are precisely the zeros of an infinite determinant corresponding to the differential equation. The proof of this result uses the continuity and holomorphy of the infinite determinant.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

DENK, Robert, 1995. Hill's equation systems and infinite determinants. In: Mathematische Nachrichten. 175, pp. 47-60. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.19951750105

BibTex

@article{Denk1995Hills-741,
  year={1995},
  doi={10.1002/mana.19951750105},
  title={Hill's equation systems and infinite determinants},
  volume={175},
  issn={0025-584X},
  journal={Mathematische Nachrichten},
  pages={47--60},
  author={Denk, Robert}
}

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