Abstract
Let \(\mathcal {M}\) be a manifold, \(\mathcal {V}\) be a vector field on \(\mathcal {M}\), and \(\mathcal {B}\) be a Banach space. For any fixed function \(f:\mathcal {M}\rightarrow \mathcal {B}\) and any fixed complex number \(\lambda \), we study Hyers–Ulam stability of the global differential equation \(\mathcal {V}y=\lambda y+f\).
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