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A Liouville’s Formula for Systems with Reflection

Author

Listed:
  • Santiago Codesido

    (Analytical Sciences Group, Faculty of Sciences, Université de Genève, 1206 Geneva, Switzerland
    These authors contributed equally to this work.)

  • F. Adrián F. Tojo

    (Instituto de Matemáticas, Universidade de Santiago de Compostela, 15705 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

Abstract

In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection. We also present a conjecture for the general case and an application to coupled harmonic oscillators.

Suggested Citation

  • Santiago Codesido & F. Adrián F. Tojo, 2021. "A Liouville’s Formula for Systems with Reflection," Mathematics, MDPI, vol. 9(8), pages 1-7, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:866-:d:536402
    as

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    References listed on IDEAS

    as
    1. Asylzat Kopzhassarova & Abdizhakhan Sarsenbi, 2012. "Basis Properties of Eigenfunctions of Second-Order Differential Operators with Involution," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-6, September.
    2. Cabada, Alberto & Tojo, F.Adrián F., 2017. "On linear differential equations and systems with reflection," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 84-102.
    Full references (including those not matched with items on IDEAS)

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