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On linear differential equations and systems with reflection

Author

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  • Cabada, Alberto
  • Tojo, F.Adrián F.

Abstract

In this paper, we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green’s functions. We also derive interesting results in the case of differential equations with reflection and generalize the Hyperbolic Phasor Addition Formula to the case of matrices.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:305:y:2017:i:c:p:84-102
    DOI: 10.1016/j.amc.2017.01.039
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    Cited by:

    1. Valery Karachik & Batirkhan Turmetov & Hongfen Yuan, 2022. "Four Boundary Value Problems for a Nonlocal Biharmonic Equation in the Unit Ball," Mathematics, MDPI, vol. 10(7), pages 1-21, April.
    2. Turmetov, B.Kh. & Kadirkulov, B.J., 2021. "On a problem for nonlocal mixed-type fractional order equation with degeneration," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Santiago Codesido & F. Adrián F. Tojo, 2021. "A Liouville’s Formula for Systems with Reflection," Mathematics, MDPI, vol. 9(8), pages 1-7, April.

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