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We consider the dynamical system
(𝒜, Tf), where
𝒜 is a class of differential real functions defined on some interval and
Tf : 𝒜 → 𝒜 is an operator Tfφ := fοφ, where f is a differentiable m-modal map. If we consider functions in
𝒜 whose critical values are periodic points for f then, we show how to define and characterize a substitution system associated with
(𝒜, Tf). For these substitution systems, we compute the growth rate of the...
A functional characterization of Sugeno's negations is presented and as a consequence, we study a family of non strict Archimedean t-norms whose (vertical-horizontal) sections are straight lines.
We consider a functional equation of the formG(x, phi(f1(x)), ..., phi(fr(x))) = cin the unknown function phi.We present a method to construct the general solution of this equation under suitable hypotheses on the functions Inf i fi and Supi fi.
We consider the functional equation f(z+σ) - f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions. We prove the existence of certain types of solutions of this equation by an a priori estimate method in certain weighted L2-spaces.
In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
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