On Some Recent Developments in Ulam′s Type Stability - Brillouët-Belluot - 2012 -
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Ulam Stability of Operators presents a modern, unified, and systematic approach to the field.
Focusing on the stability of functional equations across single variable, difference equations …

This is a survey paper concerning stability results for the linear functional equation in single
variable. We discuss issues that have not been considered or have been treated only briefly …

In this paper, the concepts of Hyers–Ulam stability are generalized for non-autonomous
linear differential systems. We prove that the k-periodic linear differential matrix system Z˙(t) …

In this article, we prove that the ω-periodic discrete evolution family Γ:= ρ (n, k): n, k∈ Z+, n≥
k Γ:={ρ(n,k):n,k∈Z_+,n≧k\} of bounded linear operators is Hyers-Ulam stable if and only if it …

In this paper, we investigate the generalized Hyers–Ulam stability of the functional
equation∑ k 2,…, kn= 0 1 fx 1+∑ i= 2 n (-1) kix i-2 n-1 f (x 1)-2 n-2∑ i= 2 nf (xi)+ f (-xi)= 0 for …

Given a vector space X, we investigate the solutions f: R→ X of the linear functional equation
of third order f (x)= pf (x− 1)+ qf (x− 2)+ rf (x− 3), which is strongly associated with a well …

Research Article On the Stability of a Functional Equation Associated with the Fibonacci
Numbers Page 1 Research Article On the Stability of a Functional Equation Associated with the …

We obtain a result on Ulam stability and on the best Ulam constant for the linear difference
equation x_ n+ 2= ax_ n+ 1+ bx_n, xn+ 2= axn+ 1+ bxn, where KK is one of the fields RR or …

Let q be a positive integer and let (an) and (bn) be two given ℂ-valued and q-periodic
sequences. First we prove that the linear recurrence in ℂ 0.1 is Hyers–Ulam stable if and …