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generalized Ulam - Hyers stability

Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods

Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods

... These kinds of the questions from the basis of stability theory, and D.H.Hyers [14,15] obtained the first important result in this field .Many examples of this have been solved and many variations have been ...

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Hyers Ulam Stability of a Generalized Second Order Nonlinear Differential Equation

Hyers Ulam Stability of a Generalized Second Order Nonlinear Differential Equation

... 1940 Ulam posed the basic problem of the stability of functional equations: Give conditions in order for a linear mapping near an approximately linear mapping to exist ...by Hyers [2]. The result ...

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

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

... the Hyers theorem (Hyers-Ulam-Rassias stability ...terminologies Hyers-Ulam stability and Hyers-Ulam-Rassias stability can also be applied to the case ...

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Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations

Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations

... G˘avrut¸a [10] provided a further generalization of Rassias’ theorem. During the last two decades, a number of papers and research monographs have been published on vari- ous generalizations and applications of the ...

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Generalized Hyers-Ulam Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces

Generalized Hyers-Ulam Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces

... of Hyers by weakening the condition for the Cauchy difference to be ...the stability problems of functional equations. The stability phenomenon that was introduced and proved by Rassias is called the ...

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On the generalized Hyers Ulam Rassias stability problem of radical functional equations

On the generalized Hyers Ulam Rassias stability problem of radical functional equations

... the stability problem of functional equations originated from the question of Ulam [, ] concerning the stability of group ...famous Ulam sta- bility problem was partially solved by ...

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Hyers Ulam stability of a generalized additive set valued functional equation

Hyers Ulam stability of a generalized additive set valued functional equation

... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group ...homomorphisms. Hyers [] gave the first affirmative partial answer to ...

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Isomorphisms in unital $C^*$-algebras

Isomorphisms in unital $C^*$-algebras

... called Hyers-Ulam-Rassias stability or generalized Hyers-Ulam stability of functional ...the stability of the equation of homomorphism, ...

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Generalized Hyers-Ulam Stability of a System of Bi-Reciprocal Functional Equations

Generalized Hyers-Ulam Stability of a System of Bi-Reciprocal Functional Equations

... It is easy to see that r(x , y ) = x y 1 is a solution of the system of functional equations (5). In this paper, we investigate the generalized Hyers-Ulam-Rassias stability problem for the ...

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Superstability of Generalized Derivations

Superstability of Generalized Derivations

... of stability of functional equations started with a question of Ulam 1 in ...by Hyers 2 for Banach spaces. Aoki 3 provided a generalization of Hyers’ theorem for approximately additive ...4 ...

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Hyers Ulam stability of functional equations in matrix normed spaces

Hyers Ulam stability of functional equations in matrix normed spaces

... mapping. Hyers [] gave the first affirmative partial answer to the question of Ulam for Banach ...spaces. Hyers’ theorem was generalized by Aoki [] for additive mappings and by Rassias [] ...

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On the stability of linear differential equations of second order

On the stability of linear differential equations of second order

... was generalized by Miura, Takahasi and Choda [19], by Miura [16], also by Takahasi, Miura and Miyajima ...the Hyers-Ulam stability of the differential equation y 0 (t) = λy(t), while Alsina ...

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Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach

Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach

... S.M. Ulam [45] concerning the stability of group homomorphisms gave rise to the stability problem of functional ...D.H. Hyers [23] did not go in vain because he was the first to come out with ...

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A general theorem on the stability of a class of functional equations including monomial equations

A general theorem on the stability of a class of functional equations including monomial equations

... We combine Lemmas . and . in the following theorem to formulate the main theo- rem which is easily applicable. We here notice that conditions () and () are satisfied in usual cases provided we apply the direct ...

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On stability of functional equations related to quadratic mappings in fuzzy Banach spaces

On stability of functional equations related to quadratic mappings in fuzzy Banach spaces

... The stability problem concerning the stability of group homomorphisms of functional equations was originally introduced by Ulam [] in ...famous Ulam stability prob- lem was partially ...

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Hyers-Ulam-Rassias stability of nth order linear ordinary differential equations with initial conditions

Hyers-Ulam-Rassias stability of nth order linear ordinary differential equations with initial conditions

... the Hyers-Ulam stability of a system of first order linear differential equations with constant ...the Hyers-Ulam stability of the first-order linear differential equations of ...

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A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution

A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution

... first stability problem concerning group homomorphisms was raised by Ulam 1 in 1940 and affirmatively answered by Hyers in ...of Hyers was generalized by Aoki 3 for additive mappings and ...

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Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition

Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition

... the Hyers-Ulam stability of the differential equation of the form ty 00 (t) + αty 0 (t) + β y(t) = ...the; Hyers-Ulam-Rassias stability of linear differential equations of Second ...

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stability of the quadratic functional
equation

stability of the quadratic functional equation

... the Hyers-Ulam-Rassias stability of the func- tional ...The Hyers-Ulam stability on unbounded domains is also ...the generalized quadratic functional equation are ...

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A new method for the generalized Hyers-Ulam-Rassias stability

A new method for the generalized Hyers-Ulam-Rassias stability

... of Hyers’ Theorem for the stability of the ad- ditive mappings as well as ...the stability of the linear mapping the reader is referred to [2],[4],[5],[8]-[12],[22],[24]-[28],[30]-[33],[35] ...

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