Titlebook: Handbook of Functional Equations; Stability Theory Themistocles M. Rassias Book 2014 Springer Science+Business Media, LLC 2014 Cauchy equat

ineffectual

Superstability of Generalized Module Left Higher Derivations on a Multi-Banach Module,s functional equations have been investigated by several authors. In this chapter, by defining a multi-Banach space, we introduce a multi-Banach module. Also, we define the notion of generalized module left higher derivations and approximate generalized module left higher derivations. Then, we discu

Oligarchy

Commodious

Proclaim

labile

ALIAS

On Stability of the Linear and Polynomial Functional Equations in Single Variable,able).in the class of functions ϕ mapping a nonempty set . into a Banach algebra . over a field ., where . is a fixed positive integer, . for ., and the functions ., . and . for ., are given. A particular case of the equation, with . for ., is the very well-known linear equation

不自然

,On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains,ns in a group when the target space of the functions is a 2-divisible commutative group. As the main result we find an approximate sequence for the unknown function satisfying the Pexider functional inequality, the limit of which is the approximate function in the Hyers–Ulam stability theorem.

irradicable

Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternatralizations, and the Drygas equation. The number of papers on this subject is very high, hence, the author of the present chapter made a (quite arbitrary) choice of some of them to be shown in detail. The last section is devoted to an application of stability for solving an alternative form of the quadratic equation.

漂亮

978-1-4939-5309-7Springer Science+Business Media, LLC 2014

rectocele