Hyers-Ulam stability for C1 solution of series-like iterative equation with variable coefficients

The C1 Solutions of the Series-Like Iterative Equation with Variable Coefficients

where F is a given function, f is an unknown function, λi ∈ R i 1, 2, . . . , n , and f k 1, 2, . . . , n is the kth iterate of f, that is, f0 x x, f x f ◦ fk−1 x . The case of all constant λis was considered in 1–10 . In 2000, W. N. Zhang and J. A. Baker first discussed the continuous solutions of such an iterative equation with variable coefficients λi λi x which are all continuous in interva...

Hyers-Ulam Stability of Fibonacci Functional Equation

Hyers-Ulam stability of Volterra integral equation

We will apply the successive approximation method forproving the Hyers--Ulam stability of a linear integral equation ofthe second kind.

Hyers–ulam Stability of a Polynomial Equation

The aim of this paper is to prove the stability in the sense of Hyers–Ulam stability of a polynomial equation. More precisely, if x is an approximate solution of the equation x + αx + β = 0, then there exists an exact solution of the equation near to x.

Hyers-Ulam Stability of Nonlinear Integral Equation