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- W3148472781 abstract "In this paper existence of local analytic solutions of a polynomial-like iterative func-tional equation is studied.As well as in previous work,we reduce this problem with the Schrder transformation to finding analytic solutions of a functional equation without iteration of the un-known function f.For technical reasons,in previous work the constant α given in the Schrder transformation,i.e.,the eigenvalue of the linearized f at its fixed point O,is required to fulfill that α is off the unit circle S1 or lies on the circle with the Diophantine condition.In this paper,we obtain results of analytic solutions in the case of α at resonance,i.e.,at a root of the unity and the case of α near resonance under the Brjuno condition." @default.
- W3148472781 created "2021-04-13" @default.
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- W3148472781 date "2009-01-01" @default.
- W3148472781 modified "2023-09-23" @default.
- W3148472781 title "Analytic Solutions of a Polynomial-Like Iterative Functional Equation near Resonance" @default.
- W3148472781 hasPublicationYear "2009" @default.
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