On the best Ulam constant of the second order linear differential operator

• Alina Ramona Baias ^[1] ; Dorian Popa ^[1]
  1. [1] Technical University of Cluj-Napoca

     Technical University of Cluj-Napoca

     Rumanía

     
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 114, Nº. 1, 2020, págs. 411-425
• Idioma: inglés
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• Resumen

  • In this paper we obtain the best Ulam constant for the second order linear differential operator with constant coefficients. As application we prove that damped oscillating systems are stable in Ulam sense while the harmonic oscillating systems are nonstable. Moreover, an optimal estimation between the solutions of the perturbed an unperturbed oscillating systems is given