How the constants in Hille-Nehari theorems depend on time scales.
Hukuhara's differentiable iteration semigroups of linear set-valued functions
Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. A family of continuous linear set-valued functions is a differentiable iteration semigroup with F⁰(x) = x for x ∈ K if and only if the set-valued function is a solution of the problem , Φ(0,x) = x, for x ∈ K and t ≥ 0, where denotes the Hukuhara derivative of Φ(t,x) with respect to t and for x ∈ K.
Hyers-Ulam stability for a nonlinear iterative equation
We discuss the Hyers-Ulam stability of the nonlinear iterative equation . By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.
Hyers-Ulam stability of a bi-Jensen functional equation on a punctured domain.
Hyers-ulam Stability of a General Quadratic Functional Equation
Hyers-Ulam stability of a polynomial equation.
Hyers-Ulam stability of Butler-Rassias functional equation.
Hyers-Ulam stability of functional equations in several variables.
Hyers-Ulam stability of mean value points.
Hyers-Ulam stability of polynomial equations.
Hyers-Ulam stability of the generalized quadratic functional equation in amenable semigroup.
Hyers-Ulam stability of the generalized trigonometric formulas.
Hyers-Ulam stability of the linear recurrence with constant coefficients.
Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities of an additive functional equation in several variables.
Hyers--Ulam--Rassias stability of a generalized Pexider functional equation.
Hyers-Ulam-Rassias stability of generalized derivations.
Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras.
Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras.
Hyers-Ulam-Rassias stability of the Apollonius type quadratic mapping in RN-spaces.
Hyers-Ulam-Rassias stability of the -quadratic functional equation.