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Displaying similar documents to “Mikusiński functional equation on a hexagon.”

Extremal Solutions for a Class of Functional Differential Equations

Ceppitelli, Rita, Faina, Loris (1997)

Serdica Mathematical Journal

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We study, in Carathéodory assumptions, existence, continuation and continuous dependence of extremal solutions for an abstract and rather general class of hereditary differential equations. By some examples we prove that, unlike the nonfunctional case, solved Cauchy problems for hereditary differential equations may not have local extremal solutions.

On two new functional equations for generalized Joukowski transformations

M. Baran, H. Haruki (1991)

Annales Polonici Mathematici

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The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function 1 / 2 ( z + z - 1 ) of a complex variable z.

Discrete singular functionals

Robert Mařík (2005)

Archivum Mathematicum

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In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.

On the uniqueness of continuous solutions of functional equations

Bolesław Gaweł (1995)

Annales Polonici Mathematici

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We consider the problem of the vanishing of non-negative continuous solutions ψ of the functional inequalities (1)   ψ(f(x)) ≤ β(x,ψ(x)) and (2)   α(x,ψ(x)) ≤ ψ(f(x)) ≤ β(x,ψ(x)), where x varies in a fixed real interval I. As a consequence we obtain some results on the uniqueness of continuous solutions φ :I → Y of the equation (3)  φ(f(x)) = g(x,φ(x)), where Y denotes an arbitrary metric space. ...