Results 11 to 20 of about 2,248 (233)

Additivity, subadditivity and linearity: automatic continuity and quantifier weakening [PDF]

, 2017
We study the interplay between additivity (as in the Cauchy functional equation), subadditivity and linearity. We obtain automatic continuity results in which additive or subadditive functions, under minimal regularity conditions, are continuous and so ...
Bingham, N. H., Ostaszewski, A. J.
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Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]

, 2014
The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
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A bifurcated circular waveguide problem [PDF]

, 1995
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in IMA Journal of Applied Mathematics following peer review. The definitive publisher-authenticated version A D Rawlins. A bifurcated circular waveguide problem.
Rawlins, AD
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Stability and Superstability of Generalized (𝜃, 𝜙)-Derivations in Non-Archimedean Algebras: Fixed Point Theorem via the Additive Cauchy Functional Equation

Journal of Applied Mathematics, 2011
Let 𝐴 be an algebra, and let 𝜃, 𝜙 be ring automorphisms of 𝐴. An additive mapping 𝐻∶𝐴→𝐴 is called a (𝜃,𝜙)-derivation if 𝐻(𝑥𝑦)=𝐻(𝑥)𝜃(𝑦)+𝜙(𝑥)𝐻(𝑦) for all 𝑥,𝑦∈𝐴.
M. Eshaghi Gordji, M. B. Ghaemi, G. H. Kim, Badrkhan Alizadeh   +3 more
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The Cauchy Functional Equations in Distributions [PDF]

Proceedings of the American Mathematical Society, 1989
The Pompeiu functional equation is defined by Neagu for Schwartz distributions. His method is extended to the four Cauchy functional equations by means of two new operators Q ∗ {Q^*} and R ∗ {R^*} on D
openaire   +1 more source

On Costas Sets and Costas Clouds

Abstract and Applied Analysis, 2009
We abstract the definition of the Costas property in the context of a group and study specifically dense Costas sets (named Costas clouds) in groups with the topological property that they are dense in themselves: as a result, we prove the existence of ...
Konstantinos Drakakis
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Cauchy-Riemann Equations for Free Noncommutative Functions [PDF]

, 2020
In classical complex analysis analyticity of a complex function $f$ is equivalent to differentiability of its real and imaginary parts $u$ and $v$, respectively, together with the Cauchy-Riemann equations for the partial derivatives of $u$ and $v$. We extend this result to the context of free noncommutative functions on tuples of matrices of arbitrary ...
ter Horst, S, Klem, E. M.
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Hyperstability of Cauchy–Jensen functional equations

Indagationes Mathematicae, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
EL-Fassi, Iz-iddine, Kabbaj, Samir, Charifi, Ahmed   +2 more
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Cauchy–Jost function and hierarchy of integrable equations [PDF]

Theoretical and Mathematical Physics, 2015
Properties of the Cauchy--Jost (known also as Cauchy--Baker--Akhiezer) function of the KPII equation are described. By means of the $\bar\partial$-problem for this function it is shown that all equations of the KPII hierarchy are given in a compact and explicit form, including equations on the Cauchy--Jost function itself, time evolutions of the Jost ...
Boiti, M., Pempinelli, F., Pogrebkov, A. K.   +2 more
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Pressure-driven flow of suspensions: simulation and theory [PDF]

, 1994
Dynamic simulations of the pressure-driven flow in a channel of a non-Brownian suspension at zero Reynolds number were conducted using Stokesian Dynamics.
Brady, John F., Nott, Prabhu R.
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