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The Sign of the Green Function of an n -th Order Linear Boundary Value Problem

Author

Listed:
  • Pedro Almenar Belenguer

    (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 results on the sign of the Green function (and its partial derivatives) of an n -th order boundary value problem subject to a wide set of homogeneous two-point boundary conditions. The dependence of the absolute value of the Green function and some of its partial derivatives with respect to the extremes where the boundary conditions are set is also assessed.

Suggested Citation

  • Pedro Almenar Belenguer & Lucas Jódar, 2020. "The Sign of the Green Function of an n -th Order Linear Boundary Value Problem," Mathematics, MDPI, vol. 8(5), pages 1-22, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:673-:d:352206
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    References listed on IDEAS

    as
    1. Yongping Sun & Qian Sun & Xiaoping Zhang, 2014. "Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, January.
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