Discrete-Space Systems of Partial Dynamic Equations and Discrete-Space Wave Equation

• Antonín Slavík ^[1]
  1. [1] Charles University in Prague

     Charles University in Prague

     Chequia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 2, 2017, págs. 299-315
• Idioma: inglés
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• Resumen

  • We study the well-posedness of initial-value problems for systems of partial dynamic equations with discrete space and arbitrary time domain. We also present the superposition principle for infinite linear combinations of solutions. As an example, we consider the discrete-space wave equation, which is equivalent to a pair of firstorder equations. We provide a general method for finding fundamental solutions and illustrate it on several examples of time scales.