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Advances in Differential Equations and Applications pp 65–76Cite as

Analytic Approximations for Linear Differential Equations with Periodic or Quasi-periodic Coefficients

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Part of the book series: SEMA SIMAI Springer Series ((SEMA SIMAI,volume 4))

Abstract

A perturbative procedure is proposed to compute analytic approximations to the fundamental matrix of linear differential equations with periodic or quasi-periodic coefficients. The algorithm allows one to construct high-order analytic approximations to the characteristic exponents and thus analyze the stability of the system. In addition, the approximate matrix solutions preserve by construction qualitative properties of the exact solution.

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References

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Acknowledgements

This work has been partially supported by project MTM2010-18246-C03-02 from Ministerio de Ciencia e Innovación (Spain).

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Authors and Affiliations

  1. Departament de Matemàtiques, Institut de Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, 12071, Castellón, Spain

    Ana Arnal & Cristina Chiralt

Authors
  1. Ana Arnal
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  2. Cristina Chiralt
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Corresponding author

Correspondence to Ana Arnal .

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Editors and Affiliations

  1. Dept. de Mathemàtiques and IMAC, Universitat Jaume I, Castelló, Spain

    Fernando Casas

  2. Dept. de Mathemàtiques and IMAC, Universitat Jaume I, Castelló, Spain

    Vicente Martínez

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Arnal, A., Chiralt, C. (2014). Analytic Approximations for Linear Differential Equations with Periodic or Quasi-periodic Coefficients. In: Casas, F., Martínez, V. (eds) Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-06953-1_7

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