Functional equations for real functions

Results 171 to 180 of about 577,125 (180)

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On the stability of the nonlinear Euler-Lagrange functional equation in real normed linear spaces

1993
Let \(X\) be a real linear normed space and \(Y\) be a real Banach space. Assume that there exist \(c_ 2 \geq 0\), \(a,b\) for which \(r = a + b \in \mathbb{R} \backslash \{2\}\) such that \[ \biggl \| f(x+y) + f(x-y) - 2 \bigl[ f(x) + f(y) \bigr] \biggr \| \leq c_ 2 \| x \|^ a \| y \|^ b \] for \(x,y\in X\).
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Subadditive set-functions on semigroups, applications to group representations and functional equations

Journal of Functional Analysis, 2012
Ekaterina Shulman
exaly

THE CAUCHY FUNCTIONAL EQUATION ON REAL BANACH ALGEBRAS

1989
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Decomposer and associative functional equations

Indagationes Mathematicae, 2007
M H Hooshmand
exaly

Unique existence of bounded continuous solutions on the real line of a class of nonlinear functional equations with complicated deviations

Applied Mathematics and Computation, 2012
Stevo Stevic
exaly

A Variation-of-Constants Formula for Abstract Functional Differential Equations in the Phase Space

Journal of Differential Equations, 2002
Satoru Murakami, Toshiki Naito, Nguyen Văn Minh +2 more
exaly

Equation f(p(x)) = q(f(x)) for given real functions p, q

Czechoslovak Mathematical Journal, 2013
exaly