Results 31 to 40 of about 439,454 (357)
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
doaj +1 more source
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. +3 more
openaire +3 more sources
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
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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
semanticscholar +1 more source
Linear Quadratic Stochastic Differential Games: Open-Loop and Closed-Loop Saddle Points [PDF]
, 2014 In this paper, we consider a linear quadratic stochastic two-person zero-sum differential game. The controls for both players are allowed to appear in both drift and diffusion of the state equation.
Sun, Jingrui, Yong, Jiongmin
core +3 more sources
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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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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A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations
Journal of Function Spaces, 2015 We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations.
Yang-Hi Lee, Soon-Mo Jung
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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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