On the Hyers-Ulam Stability of Real Continuous Function Valued Differentiable Map

Hyers-ulam Stability of Isometries

Let X and Y be real Banach spaces. A mapping q5 : X --t Y is called an &-isometry if 1 IIq5(z) ~$(y)jl 11% yI/ I 5 E holds for all z,y E X. If q5 is surjective, then its distance to the set of all isometries of X onto Y is at most yx~, where yx denotes the Jung constant of X.

Hyers-Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficient

This paper is concerned with the Hyers–Ulam stability of the first-order linear differential equation x′ − ax = 0, where a is a non-zero real number. The main purpose is to find an explicit solution x(t) of x′−ax = 0 satisfying |φ(t)−x(t)| ≤ ε/|a| for all t ∈ R under the assumption that a differentiable function φ(t) satisfies |φ′(t)− aφ(t)| ≤ ε for all t ∈ R. In addition, the precise behavior ...

Hyers-Ulam Stability of Fibonacci Functional Equation

Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay

In this paper we are going to study the Hyers{Ulam{Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon nite intervals.

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.