## Hyers-Ulam stability of linear differential operator with constant coefficients.(English)Zbl 1039.34054

The authors analyze the Hyers-Ulam stability for linear differential operators of $$n$$th order in a Banach space setting. Sufficient and necessary conditions, which depend on the roots of the characteristic polynomial, are proved.

### MSC:

 34G10 Linear differential equations in abstract spaces 34D99 Stability theory for ordinary differential equations
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