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math.DS2023
Roughness of exponential dichotomy under unbounded perturbation in linear partial functional differential equations
Xuan-Quang Bui, Nguyen Van Minh
This paper is concerned with the roughness of exponential dichotomies under unbounded perturbations of a class of linear partial functional differential equations \begin{equation}\…
math.DS2023
Yosida Distance and Existence of Invariant Manifolds in the Infinite-Dimensional Dynamical Systems
Xuan-Quang Bui, Nguyen Van Minh
We introduce a new concept of Yosida distance between two (unbounded) linear operators and in a Banach space defined as $d_Y(A,B):=\limsup_{μ\to +\infty} \| A_…