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Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients. (English) Zbl 1106.34032
The author considers the linear system \[ \dot{x}=Ax+b(t),\quad x\in \mathbb{R}^n,\quad t\in \mathbb{R}, \] with constant matrix \(A\) and continuous vector function \(b.\) Sufficient conditions for the Hyers-Ulam stability of this system are obtained.

34D05 Asymptotic properties of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
Full Text: DOI
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