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Hyers-Ulam stability of \(n\)th order linear differential equations. (English) Zbl 1337.34052

Summary: For \(n\)th order linear homogeneous and nonhomogeneous differential equations with nonconstant coefficients, we prove Hyers-Ulam stability by using open mapping theorem. The generalized Hyers-Ulam stability is also investigated.

MSC:

34D10 Perturbations of ordinary differential equations
34A30 Linear ordinary differential equations and systems