Results 301 to 310 of about 439,454 (357)

An Investigation of a Nonlinear Delay Functional Equation with a Quadratic Functional Integral Constraint

Mathematics, 2023
This research paper focuses on investigating the solvability of a constrained problem involving a nonlinear delay functional equation subject to a quadratic functional integral constraint, in two significant cases: firstly, the existence of nondecreasing
A. M. El-Sayed   +2 more
semanticscholar   +1 more source

Conditional equations for quadratic functions

Acta Mathematica Hungarica, 2018
We consider quadratic functions f that satisfy the additional equation y2 f(x) =  x2 f(y) for the pairs $${ (x,y) \in \mathbb{R}^2}$$ that fulfill the condition P(x, y) =  0 for some fixed polynomial P of ...
E. Garda-Mátyás, Zoltán Boros
openaire   +2 more sources

On approximation of approximately generalized quadratic functional equation via Lipschitz criteria

Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2018
Let G be an Abelian group with a metric d and E ba a normed space. For any f : G → E we define the generalized quadratic difference of the function f by the formula Qk f (x, y) := f (x + ky) + f (x − ky) − f (x + y) − f (x − y) − 2(k2 − 1)f (y) for all x,
Iz-iddine El-Fassi
semanticscholar   +1 more source

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