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Accurate Estimations of Any Eigenpairs of N -th Order Linear Boundary Value Problems

Author

Listed:
  • Pedro Almenar

    (Vodafone Spain, Avda. América 115, 28042 Madrid, Spain
    These authors contributed equally to this work.)

  • Lucas Jódar

    (Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
    These authors contributed equally to this work.)

Abstract

This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n -th order boundary value problems with sign-regular kernels subject to two-point boundary conditions. The method is based on the selection of a particular type of cone for each eigenpair to be determined, the recursive application of the operator associated to the equivalent integral problem to functions belonging to such a cone, and the calculation of the Collatz–Wielandt numbers of the resulting functions.

Suggested Citation

  • Pedro Almenar & Lucas Jódar, 2021. "Accurate Estimations of Any Eigenpairs of N -th Order Linear Boundary Value Problems," Mathematics, MDPI, vol. 9(21), pages 1-22, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2663-:d:661477
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