Miura, Takeshi; Miyajima, Shizuo; Takahasi, Sin-Ei Hyers-Ulam stability of linear differential operator with constant coefficients. (English) Zbl 1039.34054 Math. Nachr. 258, 90-96 (2003). 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. Reviewer: Etienne Emmrich (Berlin) Cited in 1 ReviewCited in 70 Documents MSC: 34G10 Linear differential equations in abstract spaces 34D99 Stability theory for ordinary differential equations Keywords:Hyers-Ulam stability; linear differential equation; exponential function PDFBibTeX XMLCite \textit{T. Miura} et al., Math. Nachr. 258, 90--96 (2003; Zbl 1039.34054) Full Text: DOI