On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations
From MaRDI portal
Publication:925394
DOI10.1155/2007/63239zbMath1148.39026OpenAlexW2086212248MaRDI QIDQ925394
Publication date: 3 June 2008
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/54655
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items
Stability of an \(n\)-variable mixed type functional equation in probabilistic modular spaces ⋮ A fixed point approach to the fuzzy stability of an additive-quadratic-cubic functional equation ⋮ Unnamed Item ⋮ Stability and common stability for the systems of linear equations and its applications ⋮ A fixed point approach to the stability of Pexider quadratic functional equation with involution ⋮ Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields ⋮ Stability and superstability of generalized \((\theta, \phi)\)-derivations in non-Archimedean algebras: fixed point theorem via the additive Cauchy functional equation ⋮ Stabilities of cubic mappings in various normed spaces: direct and fixed point methods ⋮ Approximate \(n\)-Lie homomorphisms and Jordan \(n\)-Lie homomorphisms on \(n\)-Lie algebras ⋮ Stability of a composite functional equation related to idempotent mappings ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ Fourier Transforms and Ulam Stabilities of Linear Differential Equations ⋮ On the stability problem in fuzzy Banach space ⋮ Fuzzy stability of quadratic-cubic functional equations ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities of an additive functional equation in several variables ⋮ Functional inequalities associated with additive mappings ⋮ Fixed points and stability of an additive functional equation of \(n\)-Apollonius type in \(C^{\ast}\)-algebras ⋮ On the stability of a mixed type quadratic-additive functional equation ⋮ A general uniqueness theorem concerning the stability of additive and quadratic functional equations ⋮ Approximate quartic and quadratic mappings in quasi-Banach spaces ⋮ Solutions and the generalized Hyers-Ulam-Rassias stability of a generalized quadratic-additive functional equation ⋮ Generalized Ulam-Hyers stability of Jensen functional equation in Šerstnev PN spaces ⋮ On the stability of a pexiderized Gołąb-Schinzel equation ⋮ Stability of a Jensen type quadratic-additive functional equation under the approximately conditions ⋮ Jordan *-derivations on \(C^*\)-algebras and \(JC^*\)-algebras ⋮ A functional equation of Aczél and Chung in generalized functions ⋮ Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras ⋮ Stability of a generalized \(n\)-variable mixed-type functional equation in fuzzy modular spaces ⋮ Functional equations related to inner product spaces ⋮ Solution and stability of an \(n\)-dimensional functional equation ⋮ On the generalized Hyers-Ulam stability of an \(n\)-dimensional quadratic and additive type functional equation
Cites Work
- Solution of a problem of Ulam
- On approximation of approximately linear mappings by linear mappings
- Solution of the Ulam stability problem for Euler-Lagrange quadratic mappings
- On the Ulam stability of mixed type mappings on restricted domains
- On the Stability of the Linear Functional Equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item