Una nota sobre una clase de ecuaciones diferenciales con condición inicial aleatoria

• Autores: José Manuel López Ballesteros, Clara Burgos Simón, Julia Calatayud, Juan Carlos Cortés López, Marc Jornet Sanz
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 105, 2018, págs. 64-73
• Idioma: español
• Títulos paralelos:
  • A note about a class of differential equations with random initial condition
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• Resumen

  • This paper shows a nice connection between Differential Equations and Probability through an illustrative example. We apply a successful algebraic strategy together with properties of expectation operator to determine the main statistical properties (mean, variance and covariance) of the solution to a non-autonomous linear differential equation whose initial condition is a random variable. Theoretical findings are illustrated by means of one example.