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math.DS2024★ 5 cited
Shadowing, Hyers--Ulam stability and hyperbolicity for nonautonomous linear delay differential equations
Lucas Backes, Davor Dragicevic, Mihaly Pituk
It is known that hyperbolic non\-autonomous linear delay differential equations in a finite dimensional space are Hyers--Ulam stable and hence shadowable. The converse result is av…
math.DS2024★ 2 cited
Shadowing and hyperbolicity for linear delay difference equations
Lucas Backes, Davor Dragicevic, Mihaly Pituk
It is known that hyperbolic linear delay difference equations are shadowable on the half-line. In this paper, we prove the converse and hence the equivalence between hyperbolicity…