Conjugacy of p-configurations and nonlinear solutions to a certain conditional cauchy equation

Orr Moshe Shalit

doi:10.15352/bjma/1240336420

Conjugacy of p-configurations and nonlinear solutions to a certain conditional cauchy equation

Orr Moshe Shalit

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study the connection between conjugations of a special kind of dynamical systems, called P-configurations, and solutions to homogeneous Cauchy type functional equations. We find that any two regular P-configurations are conjugate by a homeomorphism, but cannot be conjugate by a diffeomorphism. This leads us to the following conclusion (answering an open question posed by Paneah): There exist continuous nonlinear solutions to the functional equation: [Image].

Original language	English
Pages (from-to)	28-35
Number of pages	8
Journal	Banach Journal of Mathematical Analysis
Volume	3
Issue number	1
DOIs	https://doi.org/10.15352/bjma/1240336420
State	Published - 1 Jan 2009
Externally published	Yes

Keywords

Cauchy type functional equation
Conditional functional equation
Guided dynamical system
P-configuration

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.15352/bjma/1240336420

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abstract = "We study the connection between conjugations of a special kind of dynamical systems, called P-configurations, and solutions to homogeneous Cauchy type functional equations. We find that any two regular P-configurations are conjugate by a homeomorphism, but cannot be conjugate by a diffeomorphism. This leads us to the following conclusion (answering an open question posed by Paneah): There exist continuous nonlinear solutions to the functional equation: [Image].",

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AB - We study the connection between conjugations of a special kind of dynamical systems, called P-configurations, and solutions to homogeneous Cauchy type functional equations. We find that any two regular P-configurations are conjugate by a homeomorphism, but cannot be conjugate by a diffeomorphism. This leads us to the following conclusion (answering an open question posed by Paneah): There exist continuous nonlinear solutions to the functional equation: [Image].

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KW - Conditional functional equation

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Conjugacy of p-configurations and nonlinear solutions to a certain conditional cauchy equation

Abstract

Keywords

ASJC Scopus subject areas

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