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Displaying 41 – 60 of 264

Applications of the $p$ -adic Nevanlinna theory to functional equations

Abdelbaki Boutabaa, Alain Escassut (2000)

Annales de l'institut Fourier

Let $K$ be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We apply the $p$ -adic Nevanlinna theory to functional equations of the form $g = R \circ f$ , where $R \in K (x)$ , $f, g$ are meromorphic functions in $K$ , or in an “open disk”, $g$ satisfying conditions on the order of its zeros and poles. In various cases we show that $f$ and $g$ must be constant when they are meromorphic in all $K$ , or they must be quotients of bounded functions when they are meromorphic in an “open disk”. In particular,...

Applications of the zero-one law to problems connected with Cauchy's functional equation.

M. Crnjac, H.I. Miller, B. Zivaljevic (1989)

Aequationes mathematicae

Arithmetic properties of the solutions of a class of functional equations.

J.H. Loxton, A.J. van der Poorten (1982)

Journal für die reine und angewandte Mathematik

Associativity in a Class of Operations on Spaces of Distribution Functions.

M.J. Frank (1975)

Aequationes mathematicae

Asymptotic estimation for functional differential equations with several delays

Jan Čermák (1999)

Archivum Mathematicum

We discuss the asymptotic behaviour of all solutions of the functional differential equation $y^{'} (x) = \sum_{i = 1}^{m} a_{i} (x) y (τ_{i} (x)) + b (x) y (x),$ where $b (x) < 0$ . The asymptotic bounds are given in terms of a solution of the functional nondifferential equation $\sum_{i = 1}^{m} | a_{i} (x) | ω (τ_{i} (x)) + b (x) ω (x) = 0 .$

Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. (Short Communication).

C. Alsina, J. Aczél (1982)

Aequationes mathematicae

In this note we study questions of redundancy concerning the functional equation f(h(x)+k(x)) = f(h(x))+f(k(x)), where h and k are given functions and f is the unknown function.

Currently displaying 41 – 60 of 264

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Displaying 41 – 60 of 264

Applications of the $p$ -adic Nevanlinna theory to functional equations

Applications of the zero-one law to problems connected with Cauchy's functional equation.

Arithmetic properties of the solutions of a class of functional equations.

Associativity in a Class of Operations on Spaces of Distribution Functions.

Asymptotic estimation for functional differential equations with several delays

Autour de f(x)f(y) - f(xy).

$C^{r}$ -solutions of a system of functional equations

Characteristic functional equations of polynomials and the Morera-Carleman theorem.

Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. (Short Communication).

Charakterisierung des Cotangens mit Replikativität.

Christensen measurability of polynomial functions and convex functions of higher orders

Christensen measurable solutions of generalized Cauchy functional equations.

Christensen measurable solutions of generalized Cauchy functional equations. (Short Communications).

Composite n-forms and Cauchy kernels.

Condizioni di ridondanza per l'equazione funcionale f(k(t)+h(t)) = f(k(t))+f(h(t)).

Continued fractions and the fundamental equation of information.

Correction Note to the Paper: On a Functional Equation Related to Families of Exponential Probability Measures

Correction to: An asymptotic form of Cauchy's functional equation; Volume 24, 2/3 (1982). (Short Communication).

Correction to "On a functional equation arising from hyperbolic geometry", Volume 21 (1980), 113-116.

...-definable functionals and ... Conversion.

Currently displaying 41 – 60 of 264