On locally bounded above solutions of an equation of the Goła̧b–Schinzel type

E Jabłońska - Aequationes mathematicae, 2014 - Springer
We characterize solutions f, g: R → R of the functional equation f (x+ g (x) y)= f (x) f (y) under
the assumption that f is locally bounded above at each point x ∈ R. Our result refers to …

Continuous solutions of conditional composite type functional equations

J Chudziak, Z Kočan - Results in Mathematics, 2014 - Springer
It is known that some problems in meteorology and fluid dynamics lead to Goła̧b–Schinzel
type equations on a restricted domain. Inspired by a question of Professor L. Reich we …

Functional equations of the Gołab-Schinzel type on a cone

J Chudziak, Z Kočan - Monatshefte für Mathematik, 2015 - Springer
Functional equations of the Goła̧b-Schinzel type on a cone | Monatshefte für Mathematik Skip
to main content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …

Sequential regular variation: Extensions of Kendall's Theorem

NH Bingham, AJ Ostaszewski - The Quarterly Journal of …, 2020 - academic.oup.com
Regular variation is a continuous-parameter theory; we work in a general setting, containing
the existing Karamata, Bojanic–Karamata/de Haan and Beurling theories as special cases …

Non-periodic solutions of the Goła̧b–Schinzel type functional equation

J Chudziak - Results in Mathematics, 2023 - Springer
Non-periodic solutions of the Goła̧b–Schinzel type functional equation | Results in Mathematics
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[HTML][HTML] Stability problem for the composite type functional equations

RP Agarwal, J Brzdęk, J Chudziak - Expositiones Mathematicae, 2018 - Elsevier
Composite type functional equations in several variables play a significant role in various
branches of mathematics and they have several interesting applications. Therefore their …

On continuous on rays solutions of a composite-type equation

E Jabłońska - Aequationes mathematicae, 2015 - Springer
Let X be a real linear space. We characterize solutions f, g: X → R f, g: X→ R of the equation
f (x+ g (x) y)= f (x) f (y), where f is continuous on rays. Our result refers to papers by Brzdȩk …

Continuous on rays solutions of a Goła̧b–Schinzel type equation

J Chudziak - Bulletin of the Australian Mathematical Society, 2015 - cambridge.org
CONTINUOUS ON RAYS SOLUTIONS OF A GOŁA B–SCHINZEL TYPE EQUATION Page 1
Bull. Aust. Math. Soc. 91 (2015), 273–277 doi:10.1017/S0004972714001075 CONTINUOUS …

[PDF][PDF] On a composite functional equation related to the Golab-Schinzel equation

ME Gordji, TM Rassias, M Tial… - Bulletin of the Korean …, 2016 - academia.edu
Let X be a vector space over a field K of real or complex numbers and k∈ N. We prove the
superstability of the following generalized Golab–Schinzel type equation f (x1+ p∑ i= 2 xif …

Quotient stability of a class of composite equations.

J Chudziak - Acta Mathematica Hungarica, 2015 - search.ebscohost.com
QUOTIENT STABILITY OF A CLASS OF COMPOSITE EQUATIONS Page 1 Acta Math.
Hungar., 0 (0) (0), 1–16 DOI: 0 QUOTIENT STABILITY OF A CLASS OF COMPOSITE …