Ulam–Hyers stability of some linear differential equations of second order

Autor: Idriss Ellahiani, Belaid Bouikhalene
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Examples and Counterexamples, Vol 3, Iss , Pp 100110- (2023)
Druh dokumentu: article
ISSN: 2666-657X
DOI: 10.1016/j.exco.2023.100110
Popis: In this work we prove the Ulam–Hyers stability of the following equation (E)ϕ′′(x)+(γ−1)ϕ′(x)−γϕ(x)=0,where γ is a real number. The main purpose is to find a solution ϕ of (E) satisfying |ϕ(x)−f(x)|⩽Kɛ, where K is Ulam–Hyers-Stability constant and f is an exact solution of the associated inequality |f′′(x)+(γ−1)f′(x)−γf(x)|⩽ɛ,for any ɛ>0.
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