Results 21 to 30 of about 456,013 (364)

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

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

Qualitative Aspects of a Fractional-Order Integro-Differential Equation with a Quadratic Functional Integro-Differential Constraint

Fractal and Fractional, 2023
This manuscript investigates a constrained problem of an arbitrary (fractional) order quadratic functional integro-differential equation with a quadratic functional integro-differential constraint. We demonstrate that there is at least one solution x∈C[0,
Carlo Cattani, Rajarama Mohan, S. Chakraverty, A. M. El-Sayed, Antisar A. A. Alhamali, E. Hamdallah, Hanaa R. Ebead   +6 more
semanticscholar   +1 more source

Stability of an n-variable mixed type functional equation in probabilistic modular spaces

AIMS Mathematics, 2020
In this research paper, we solve a new n-variable mixed type additive-quadratic functional equation and prove the Ulam stability of the new n-variable mixed type additive-quadratic functional equation in probabilistic modular spaces by using fixed point ...
Murali Ramdoss, Divyakumari Pachaiyappan, Inho Hwang, Choonkil Park   +3 more
doaj   +1 more source

Functional inequalities for generalized multi-quadratic mappings

Journal of Inequalities and Applications, 2021
In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation.
Abasalt Bodaghi
doaj   +1 more source

Quadratic-Quartic Functional Equations in RN-Spaces [PDF]

Journal of Inequalities and Applications, 2009
11 ...
Choonkil Park, M. Eshaghi Gordji, M. Bavand Savadkouhi   +2 more
openaire   +5 more sources

Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces

Mathematics, 2022
In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix ...
Kandhasamy Tamilvanan, Yahya Almalki, Syed Abdul Mohiuddine, Ravi P. Agarwal   +3 more
doaj   +1 more source

Analytical Study of a ϕ− Fractional Order Quadratic Functional Integral Equation

Foundations, 2022
Quadratic integral equations of fractional order have been studied from different views. Here we shall study the existence of continuous solutions of a ϕ− fractional-orders quadratic functional integral equation, establish some properties of these ...
A. El-Sayed, H. Hashem, S. Al-Issa
semanticscholar   +1 more source

The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

Abstract and Applied Analysis, 2009
Lee, An and Park introduced the quadratic functional equation f(2x+y)+f(2x−y)=8f(x)+2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias.
Choonkil Park, Ji-Hye Kim
doaj   +1 more source

Stability of generalized quadratic functional equation on a set of measure zero

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015
In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation ∑ k ∈ K f(x+ k.y)= Lf(x)+ Lf(y), x,y ∈ E, where E is a real (or complex) vector space.
Youssef Aribou, Hajira Dimou, Abdellatif Chahbi, Samir Kabbaj   +3 more
doaj   +1 more source