ON THE SOLUTION OF THE SCHROEDER EQUATION OF A SPECIAL FORM
References
Kalnitsky V.S. Klassifikacija obobshhennyh uravnenij Bethera vtorogo porjadka [Classification of the Generalized Böttcher Equation of the Second Order] / V.S. Kalnitsky, A.N. Petrov // Mezhdunarodnyj nauchno-issledovatel'skij zhurnal [International Research Journal]. – 2021. – № 4(106). – P. 11–19. [in Russian]
Kalnitsky V.S. Lokal'nye gladkie soprjazhenija jendomorfizmov Frobeniusa [Local smooth conjugations of Frobenius endomorphisms] / V.S. Kalnitsky, A.N. Petrov // Zapiski nauch. sem. POMI [Journal of mathematical sciences]. – 2020. – Vol. 251. – № 4. – P. 503–511. [in Russian]
Kalnitsky V.S. Svjaz' uravnenija Bethera s parametrizovannym integralom Puassona [Relation of the Böttcher Equation with the parametrized Poisson Integral] / V.S. Kalnitsky, A.N. Petrov // Vestnik Sankt-Peterburgskogo universiteta. Matematika. Mehanika. Astronomija. [Vestnik St. Petersburg University: Mathematics]. – 2018. – № 51(4). – P. 373–379. [in Russian]
Nechepurenko M.I. Iteracii veshhestvennyh funkcij i funkcional'nye uravnenija [Real functions iterations and functional equations]. – Novosibirsk, 1997. – 228 p. [in Russian]
Schroeder E. Über iterirte Funktionen [About iterated functions] / E. Schroeder // Math. Ann. – 1871. – № 3. – P. 296–32. [in German]
Peluh G.P. Metod invariantov v teorii funkcional'nyh uravnenij [Method of invariants in the functional equations theory] / G.P. Peljuh, A.N. Sharkovskij // Praci Institutu matematiki NANU [Praci institutu matematiki NAS Ukrainy]. – 2013. – Vol. 95 – 255 p. [in Russian]
Dyjak C. BV-solution of a linear functional equation / C. Dyjak //Publ. Math. – 1986. – № 1–2. – P. 83–85.
Matkowski J.A. Solutions of bounded variation of a linear functional equation / J.A. Matkowski, M.A. Zdun // Aequat. Math. – 1974. – № 2–3. – P. 223–235.
Efthimiou C. Introduction to Functional Equations: Theory and Problem-Solving Strategies for Mathematical Competitions and Beyond / C. Efthimiou. – AMS, 2011. – 363 p.
Eremenko A.E. O nekotoryh funkcional'nyh uravnenijah, svjazannyh s iteraciej racional'nyh funkcij [On some functional equations related to the iteration of rational functions] / A.E. Eremenko // Algebra i analiz [Algebra and Analysis]. – 1989. – Vol. 1. – Iss. 4. – P. 102–116. [in Russian]