Power Series Solutions of Non-linear q-Difference Equations and the Newton–Puiseux Polygon

• J. Cano ; P. Fortuny Ayuso ^[1]
  1. [1] Universidad de Oviedo

     Universidad de Oviedo

     Oviedo, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • Adapting the Newton–Puiseux Polygon process to nonlinear q-difference equations of any order and degree, we compute their power series solutions, study the properties of the set of exponents of the solutions and give a bound for their q-Gevrey order in terms of the order of the original equation.