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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Werner Balser
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      Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
      Format: CONTRIBUTORS: Werner Balser EAN: 9780387986906 COUNTRY: United States PAGES: WEIGHT: 670 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 1999-10-29 CITY: GENRE: MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis

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      Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
      Format: CONTRIBUTORS: Werner Balser EAN: 9780387986906 COUNTRY: United States PAGES: WEIGHT: 670 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 1999-10-29 CITY: GENRE: MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis

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      Be the first to write a review
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