Note on nonstability of the linear recurrence

By J. Brzdk, D. Popa, B. Xu. 2006

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REMARKS ON ULAM STABILITY OF THE OPERATORIAL EQUATIONS (2009, background): “) and for difference equations ([3], [4], [5], [23], [24],.”
On the Stability of a Functional Equation Associated with the Fibonacci Numbers (2014, background): “[3–14]).”
On Ulam’s Type Stability of the Linear Equation and Related Issues (2014, background): “Nonstability It seems to be difficult to give a suitable (but simple) definition of nonstability of functional equations; some examples of such definitions can be found in [54, 57, 73–76].”