[HTML][HTML] Practical tests for the Schröder equation to have a regularly varying solution

H Farzadfard - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
Abstract Let f: R+→ R+ be an increasing continuous function having no fixed point such that
the differential d:= lim x→ 0+⁡ f (x) x exists and 0< d< 1. In this paper we present practical …

Certain density theorems applied to the embeddability of iteration semigroups

H Farzadfard - Aequationes mathematicae, 2022 - Springer
Let A be an additive semigroup of real numbers the additive group generated by which is
non-cyclic. Let I=(a, b) be an open interval and A= f α: α∈ A be an iteration semigroup of …

Bi-iterative limits of a class of piecewise-linear homeomorphisms

H Farzadfard - Journal of Difference Equations and Applications, 2019 - Taylor & Francis
ABSTRACT Let f: R+→ R+ be an increasing homeomorphism with no fixed point such that
the derivative d:= lim x→ 0+ f (x) x exists and 0< d< 1. Suppose the Schröder equation σ (f …