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Floquet theory and stability of nonlinear integro-differential equations

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Summary

One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.

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Authors and Affiliations

  1. Florida Institute of Technology, Department of Mathematical Science, Melbourne, FL 32901-6975, U.S.A.

    Ravi Agarwal

  2. University of Missouri-Rolla, Department of Mathematics, Rolla, MO 65409-0020, U.S.A

    Martin Bohner

  3. College of Judea and Samaria, Research Institute, 44837 Ariel, Israel

    Alexander Domoshnitsky

  4. College of Judea and Samaria, Research Institute, 44837 Ariel, Israel

    Yakov Goltser

Authors
  1. Ravi Agarwal
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  2. Martin Bohner
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  3. Alexander Domoshnitsky
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  4. Yakov Goltser
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Agarwal, R., Bohner, M., Domoshnitsky, A. et al. Floquet theory and stability of nonlinear integro-differential equations. Acta Math Hung 109, 305–330 (2005). https://doi.org/10.1007/s10474-005-0250-7

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  • DOI: https://doi.org/10.1007/s10474-005-0250-7

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