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.


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