Conjugacy of P-configurations and nonlinear solutions to a certain conditional Cauchy equation

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dc.creatorShalit, Orr
dc.date2008-04-30
dc.date.accessioned2026-07-07T12:54:29Z
dc.date.available2026-07-07T12:54:29Z
dc.descriptionWe 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 (resolving an open problem posed by Paneah): there exist continuous nonlinear solutions to the functional equation: f(t) = f((t+1)/2) + f((t-1)/2), t \in [-1,1] .
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0804.4764
dc.identifierhttp://arxiv.org/abs/0804.4764
dc.identifierBanach J. Math. Anal., 3/1 (2008), 28-35
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223950
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject39B22; 37B99
dc.titleConjugacy of P-configurations and nonlinear solutions to a certain conditional Cauchy equation
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