Results 31 to 40 of about 451,551 (359)
An alternative functional equation related to the quadratic equation [PDF]
ScienceAsiaChoodech Srisawat
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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
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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
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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 +3 more
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Quadratic functional equations of Pexider type
International Journal of Mathematics and Mathematical Sciences, 2000 First, the quadratic functional equation of Pexider type will be solved. By applying this result, we will also solve some functional equations of Pexider type which are closely associated with the quadratic equation.
Soon-Mo Jung
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Monotonic solutions of functional integral and differential equations of fractional order [PDF]
, 2009 The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations.
El-Sayed, Ahmed, Hashem, H.H.G.
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Proyecciones (Antofagasta), 2019 The present work is about the stability of a Pexiderised quadratic functional equation. The study is in the framework of intuitionistic fuzzy Banach spaces. The approach is through a fixed point method.
P. Saha +3 more
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A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]
, 1917 For the matrix neutral difference-differential equation ẋ(t) + Aẋ(t − τ) Bx(t) + Cx(t − τ) we construct a quadratic Liapunov functional which gives necessary and sufficient conditions for the asymptotic stability of the solutions of that equation. We
Fukuchi, N. +6 more
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A variant of the quadratic functional equation on semigroups
Proyecciones (Antofagasta), 2018 Let S be a semigroup, let H be an abelian group which is uniquely 2-divisible, and let σ be an involutive automorphism of S. We express the solutions f : S → H of the following variant of the quadratic functional equation f(xy) + f(σ(y)x) = 2f(x) + 2f(y)
B. Fadli, D. Zeglami, S. Kabbaj
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Generalized Stability of Euler-Lagrange Quadratic Functional Equation
Abstract and Applied Analysis, 2012 The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
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