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
Full PDF
carpathian_2021_37_2_339_344Additional Information
| Author(s) | Buică, Adriana |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2021.02.18 |
Recently posted
-
Stability of new functional equations and partial multipliers in Banach *-algebras
-
Characterizations of amenable gyrogroups related to Tarski's Theorem
-
Two new extragradient methods for solving pseudomonotone the equilibrium problem in Hilbert spaces
-
On the error estimates for the sequence of successive approximations for cyclic \varphi–contractions in metric spaces
-
Hybrid CG-Like Algorithm for Nonlinear Equations and Image Restoration
-
New class of n-order fractional differential equations and solvability in the double sequence space m^2(\Delta_{v}^{u}, \phi,p)
-
Constructing DNA Codes using Double Cyclic Codes of Odd and Even Lengths over F2 + u F2
-
Consequences of the product rule in Stieltjes differentiability
-
On the existence and uniqueness of fixed points in Banach spaces using the Krasnoselskij iterative method
-
A quaternionic product of simple ratios