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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carpathian_2021_37_2_339_344Additional Information
| Author(s) | Buică, Adriana |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2021.02.18 |
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