Ulam-Hyers stability and exponentially stable evolution equations in Banach spaces


 Buică, Adriana


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We show that uniformly exponentially stable abstract linear evolution equations are Ulam-Hyers stable on [a,\infty). Moreover, we prove that this property is maintained when perturbing this type of equations with a nonlinear term having a small Lipschitz constant. These results complement the literature on Ulam-Hyers stability, a special relation having with some works of I. A. Rus.

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Author(s)

 Buică, Adriana

DOI

https://doi.org/10.37193/CJM.2021.02.18