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Self-organisation of complex dynamical systems: from synergetics to neuromorphic systems. [PDF]
Mainzer K.
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Love Wave Propagation in a Piezoelectric Composite Structure with an Inhomogeneous Internal Layer. [PDF]
Zhao Y, Li P, Fan G, Shao C.
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Functional Equations and Distribution Functions
Results in Mathematics, 1994Let \(a \in (0,1)\), \(N \in \mathbb{N} \backslash \{1\}\) and \(- 1 = \beta_0 \leq \beta_1 \leq \dots \leq \beta_{N - 1} = 1\). Then the functional equation \[ f(x) = {1 \over N} \sum^{N - 1}_{k = 0} f \left( {x - \beta_k \over a} \right) \] has a unique bounded solution \(f : \mathbb{R} \to \mathbb{R}\) vanishing on \((- \infty, -1/(1 - a))\) and ...
Borwein, Jonathan M., Girgensohn, Roland
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On Wilson’s functional equations
Aequationes mathematicae, 2014This paper concerns mainly a variant of Wilson's functional equation. It is shown that the solutions can be expressed in terms of characters, additive functions and matrix-elements of irreducible 2-dimensional representations of the underlying group. So the theory is part of the harmonic analysis on groups.
Ebanks, Bruce, Stetkaer, Henrik
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On the Robustness of Functional Equations
SIAM Journal on Computing, 1999Summary: We study the general question of how characteristics of functional equations influence whether or not they are robust. We isolate examples of properties which are necessary for the functional equations to be robust. On the other hand, we show other properties which are sufficient for robustness.
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