Single-valley-extended continuous solutions for the Feigenbaum's functional equation f (φ(x)) = φ2(f(x))

• Autorzy: Zhang M.
• Języki publikacji: EN

Abstrakty

EN

This work deals with the Feigenbaum's functional equation in the broad sense (…), where φ2 is the 2-fold iteration of φ, f(x) is a strictly increasing continuous function on [0, 1] and satisfies (...). Using constructive method, we discuss the existence of single-valley-extended continuous solutions of the above equation.

Słowa kluczowe

EN

functional equation; constructive method; initial function; single-valley-extended continuous solutions

PL

równanie funkcyjne; metoda konstrukcyjna; funkcja początkowa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 3
• Strony: 615--626
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Zhang M.

• College of Science, China University of Petroleum, Qingdao, Shandong 266555, People's Republic of China

Bibliografia

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