Remarks on Stability of the Linear Functional Equation in Single Variable
From MaRDI portal
Publication:2905766
DOI10.1007/978-1-4614-3498-6_7zbMath1248.39022OpenAlexW2152555205MaRDI QIDQ2905766
Bing Xu, Dorian Popa, Janusz Brzdȩk
Publication date: 28 August 2012
Published in: Springer Optimization and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4614-3498-6_7
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items
On some recent developments in Ulam's type stability, Behaviour at infinity of solutions of some linear functional equations in normed spaces, On Ulam's type stability of the linear equation and related issues
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Remarks on stability of linear recurrence of higher order
- On the stability of functional equations
- On the different definitions of the stability of functional equations
- On approximate solutions of the linear functional equation of higher order
- Transformations with bounded \(m\)-th differences
- Approximately additive Schwartz distributions
- Construction of continuous solutions and stability for the polynomial-like iterative equation
- General stability of functional equations of linear type
- Approximate homomorphisms of ternary semigroups
- A stability of the generalized sine functional equations
- Ulam's problem for approximate homomorphisms in connection with Bernoulli's differential equation
- Generalized stability of the Cauchy and the Jensen functional equations on spheres
- A note on stability of the general linear equation
- Hyers-Ulam stability for linear equations of higher orders
- On nonstability of the linear recurrence of order one
- On a Pexiderized conditional exponential functional equation
- Exponential type functional equation and its Hyers-Ulam stability
- On a modified Hyers-Ulam sequence
- The stability of a sum form functional equation arising in information theory
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- Stability of functional equations in single variable.
- The problem of S. M. Ulam for approximately multiplicative mappings
- On the stability of functional equations and a problem of Ulam
- On the stability of functional equations in Banach spaces
- On the stability of the Gołąb--Schinzel functional equation
- On the Hyers-Ulam stability of \(\psi\)-additive mappings
- Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
- Hyers-Ulam stability of functional equations in several variables
- Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
- A note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences
- On approximate solutions of functional equations of countable order
- On the Hyers-Ulam stability of linear mappings
- Estimates to the stability of functional equations
- Stability problem for the Gołąb-Schinzel type functional equations
- On the stability of \(t\)-convex functions
- Decomposition of mappings approximately inner product preserving
- Stability of the orthogonality preserving property in finite-dimensional inner product spaces
- Hyers--Ulam stability of a generalized Apollonius type quadratic mapping
- On approximation theory and functional equations
- Approximation theory and functional equations. II
- Approximate solutions of the Gołąb-Schinzel equation
- On a direct method for proving the Hyers-Ulam stability of functional equations
- The Hyers-Ulam stability of nonlinear recurrences
- Approximate isometries of the space of continuous functions
- Approximately isometric and multiplicative transformations on continuous function rings
- On the stability of the linear transformation in Banach spaces
- The space of (𝜓,𝛾)–additive mappings on semigroups
- On approximate solutions of a system of functional equations
- Stability problem for number-theoretically multiplicative functions
- Fixed points and generalized Hyers-Ulam stability of quadratic functional equations
- On approximate solutions of a functional equation in the class of differentiable functions
- The Stability of Certain Functional Equations
- On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
- Stability of Isometries
- On the Stability of the Linear Mapping in Banach Spaces
- On the asymptoticity aspect of Hyers-Ulam stability of mappings
- Hyers–Ulam stability of monomial functional equations on a general domain
- ON A GENERALIZED TRIF'S MAPPING IN BANACH MODULES OVER A C*-ALGEBRA
- On the Stability of the Functional Equation ϕ[ f(x) = g(x)ϕ(x) + F(x)]
- On the Stability of the Functional Equation φ[ f(x) = g(x)φ(x) + F(x)]
- The Stability of the Sine and Cosine Functional Equations
- Classes of transformations and bordering transformations
- Approximately Convex Functions
- On approximate isometries
- On the Stability of the Linear Functional Equation
- Approximate homomorphisms
- Stability of functional equations in several variables
- Recent results on functional equations in a single variable, perspectives and open problems
