Results 11 to 20 of about 4,449,819 (289)

Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations

Journal of Function Spaces, 2022
The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi, Hossein Moshtagh, Amir Mousivand   +2 more
doaj   +1 more source

Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms [PDF]

, 2006
This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Kojima, Chiaki, Takaba, Kiyotsugu, Kaneko, Osamu, Rapisarda, Paolo   +3 more
core   +2 more sources

Stability of an additive-quadratic-quartic functional equation

Demonstratio Mathematica, 2020
In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
doaj   +3 more sources

Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean n,β-Normed Spaces

Journal of Function Spaces, 2021
In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean n,β-normed spaces.
Nazek Alessa, K. Tamilvanan, K. Loganathan, K. Kalai Selvi   +3 more
doaj   +1 more source

A New Approach to Hyers-Ulam Stability of r-Variable Quadratic Functional Equations

Journal of Function Spaces, 2021
In this paper, we investigate the general solution of a new quadratic functional equation of the form ∑1 ...
Vediyappan Govindan, Porpattama Hammachukiattikul, Grienggrai Rajchakit, Nallappan Gunasekaran, R. Vadivel   +4 more
doaj   +1 more source

Equivalence for Various Forms of Quadratic Functional Equations and Their Generalized Hyers–Ulam–Rassias Stability

International Journal of Mathematics and Mathematical Sciences, 2023
In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
doaj   +1 more source

Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]

, 2001
We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Rapisarda, P., Trentelman, H.L., Trentelman, H.L.,, P. Rapisarda, Rapisarda, P, Rapisarda, P.,, H.L. Trentelman, Trentelman, HL, Trentelman, Harry L., Rapisarda, Paolo   +9 more
core   +3 more sources

Fuzzy Stability of Quadratic Functional Equations [PDF]

Advances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong Yun Shin, Choonkil Park, Sun-Young Jang, Jung Rye Lee   +3 more
openaire   +4 more sources

On Jensen’s and the quadratic functional equations with involutions [PDF]

Proyecciones (Antofagasta), 2017
We determine the Solutions f : S → H of the generalized Jensen’s functional equation f( x + σ(y)) + f( x + τ(y)) = 2f(x), x , y∈ Sand the solutions f : S → H of the generalized quadratic functional equationf ( x + σ(y)) + f (x + τ(y)) = 2f (x) + 2f (y),    x, y ∈ S,where S is a commutative semigroup, H is an abelian group (2-torsion free in the first ...
Fadli, B., Chahbi, A., El-Fassi, Iz., Kabbaj, S.   +3 more
openaire   +3 more sources

On the Stability of Quadratic Functional Equations

Abstract and Applied Analysis, 2008
Let X, Y be vector spaces and k a fixed positive integer. It is shown that a mapping f(kx + y) + f(kx-y) = 2k2f(x) + 2f(y) for all x, y ∈ X if and only if the mapping f : X → Y satisfies f(x + y) + f(x-y) = 2f(x) + 2f(y) for all x, y ∈ X. Furthermore, the Hyers‐Ulam‐Rassias stability of the above functional equation in Banach spaces is proven.
Lee, Jung Rye, An, Jong Su, Park, Choonkil   +2 more
openaire   +3 more sources