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 |