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Popoviciu Type Equations on Cylinders
Using a correspondence between the Popoviciu type functional equations and the Fréchet equation we investigate the solutions of the Popoviciu type...
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Global Solutions for Leading Coefficient Problem of a General Iterative Equation
Most known results on global solutions for leading coefficient problem of polynomial-like iterative equations depend on the local linearity of the...
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Existence of iterative roots for the sickle-like functions
The problem of iterative roots for strictly monotone self-map**s has been well solved. Most of known results concerning existence of iterative...
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Is the dynamical system stable?
In this paper we consider stability in the Ulam–Hyers sense, and in other similar senses, for the five equivalent definitions of one-dimensional...
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The characterization of some set-valued iteration semigroups
We give the characterization of set-valued iteration semigroups which are the counterparts of the fundamental form of continuous iteration semigroups...
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The solutions of one type q-difference functional system
In this paper, we study the functional system on q -difference equations, our results can give estimates on the proximity functions and the counting...
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The
By using the Schauder’s fixed point theorem, and constructing the special functional space and the construction operator, the existence, uniqueness,...
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Smoothness repaired by iteration
It is easy to find some nonsmooth functions whose iterates are smooth ones, showing that iteration can change nonsmoothness into smoothness. In order...