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math.DS2022★ 9 cited
Conditional Lipschitz shadowing for ordinary differential equations
Lucas Backes, Davor Dragicevic, Masakazu Onitsuka +1
We introduce the notion of conditional Lipschitz shadowing, which does not aim to shadow every pseudo-orbit, but only those which belong to a certain prescribed set. We establish t…
math.CA2022
Hyers-Ulam stability for differential systems with constant coefficient matrix
Douglas R. Anderson, Masakazu Onitsuka
We explore the Hyers-Ulam stability of perturbations for a homogeneous linear differential system with constant coefficient matrix. New necessary and sufficient conditi…