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Solving iterative functional equations for a class of piecewise linearK∞-functions
Journal of Mathematical Analysis and Applications, 2014Fabian Wirth
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On functional equations for meromorphic functions and applications
Archiv Der Mathematik, 2017Ha Huy Khoai, Vu Hoai An, Khoai Ha Huy
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A class of functional equations associated with almost periodic functions
Aequationes Mathematicae, 2020J M Sepulcre, T Vidal, Sepulcre J M
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Equation f(p(x)) = q(f(x)) for given real functions p, q
Czechoslovak Mathematical Journal, 2013Kopeček Oldrich
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On the stability of the nonlinear Euler-Lagrange functional equation in real normed linear spaces
1993Let \(X\) 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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