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Spaces of Quasi-Periodic Functions and Oscillations in Differential Equations

Author

Listed:
  • Blot, J.
  • Pennequin, D.

Abstract

We build spaces of q.p. (quasi-periodic) functions and we establich some of their properties. They are motivated by the Perceival approach to q.p. solutions of Hamiltonian systems. The periodic solutions of an adequat Partial Differential Equation are related to the q.p. solutions of an Ordinar Differential Equation. We use this approach to obtain some regularization theorems of weak q.p. solutions of differential equations.

Suggested Citation

  • Blot, J. & Pennequin, D., 1999. "Spaces of Quasi-Periodic Functions and Oscillations in Differential Equations," Papiers d'Economie Mathématique et Applications 1999.74, Université Panthéon-Sorbonne (Paris 1).
  • Handle: RePEc:fth:pariem:1999.74
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    Keywords

    DIFFERENTIAL EQUATIONS ; MATHEMATICAL ANALYSIS;

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C00 - Mathematical and Quantitative Methods - - General - - - General

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