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On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations (CROSBI ID 287689)
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Dragičević, Davor
On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations // Aequationes mathematicae, 95 (2021), 829-840. doi: 10.1007/s00010-020-00774-7
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Dragičević, Davor
engleski
On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations
This article is devoted to the study of certain nonautonomous and nonlinear difference equations of higher order. Our main objective is to formulate sufficient conditions under which the class of difference equations we consider exhibits Hyers-Ulam stability. Our methods rely on the relationship between Hyers- Ulam stability and hyperbolicity for nonautonomous systems.
Difference equation ; exponential dichotomy ; Hyers-Ulam stability
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