Results 241 to 248 of about 107,297 (248)

Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay

2009
Considerable attention has been given to the study of the Hyers–Ulam and Hyers–Ulam–Rassias stability of functional equations (see, e.g., [HIR98, Ju01]). The concept of stability for a functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the equation.
Alexandre Floriani Ramos, Luis P. Castro
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Subadditive Multifunctions and Hyers-Ulam Stability

1987
A multifunction F from an Abelian semigroup (S,+) into the family of all nonempty closed convex subsets of a Banach space (X, ║·║) is called subadditive provided that F(x+y) ⊂ F(x) + F(y) for all x, y ∈ S. We show that if all the values of a subadditive multifunction F are uniformly bounded then F admits an additive selection, i.e. a homomorphism a: S →
Zbigniew Gajda, Roman Ger
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Hyers-Ulam Stability of HosszÚ’s Equation

2000
We give a sharpening and a correction of a result of L. Losonsczi concerning the Hyers-Ulam stability of the Hosszu’s functional equation $$f(xy) = f(x) + f(y) - f(x + y - xy)$$ where f is a function of a real variable with values in a Banach space.
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Hyers—Ulam stability of isometries on Banach spaces

Aequationes Mathematicae, 1999
This note is a brief survey of the stability problem for isometries defined on real Banach spaces with the special emphasis on some recent results. At the end two open problems are presented.
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On the Hyers-Ulam-Rassias Stability of Mappings

1998
We give an answer to a question of Hyers and Rassias [5] concerning the stability of mappings.
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