Note on nonstability of the linear functional equation of higher order

We provide a complete solution of the problem of Hyers–Ulam stability for a large class of higher order linear functional equations in single variable, with constant coefficients. We obtain this by showing that such an equation is nonstable in the case where at least one of the roots of the characte...

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Veröffentlicht in:	Computers & mathematics with applications (1987) Jg. 62; H. 6; S. 2648 - 2657
Hauptverfasser:	Brzdȩk, Janusz, Popa, Dorian, Xu, Bing
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Ltd 01.09.2011
Schlagworte:	Approximation Chaos theory Characteristic root Dynamical systems Hyers–Ulam stability Linear equation Mathematical analysis Mathematical models Modules Nonstability Normed space Roots Stability Characteristic root Normed space Linear equation Nonstability Hyers–Ulam stability
ISSN:	0898-1221, 1873-7668
Online-Zugang:	Volltext
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