We show that uniformly exponentially stable abstract linear evolution equations are Ulam-Hyers stable on . 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.
Ulam-Hyers stability and exponentially stable evolution equations in Banach spaces
Buică, Adriana
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Author(s) | Buică, Adriana |
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DOI | https://doi.org/10.37193/CJM.2021.02.18 |