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Literatur
Berg, L.: Asymptotische Lösungen für Operatorgleichungen. Zeitschr. Ang. Math. Mech. 45(1965) 333–352.
Van der Corput, J.G.: Introduction to the method of asymptotic functional relations. Journal d'Analyse Math. 14(1965) 67–78.
Entringer, R.C.: Functions and inverses of asymptotic functions. Amer. Math. Monthly 74(1967) 1095–1097.
Harris, W.A. Jr. and Sibuya, J.: General solution of nonlinear difference equations. Trans. AMS 115(1965) 62–75.
Harris, W.A.Jr. and Sibuya, J.: On asymptotic solutions of systems of nonlinear difference equations. J. Reine u. Ang. Math. 222(1966) 120–135.
Harris, W.A.Jr. and Tolle, J.W.: A nonlinear functional equation. Proc. United States — Japan Seminar on differential and functional equations; Univ. of Minnesota, 1967. New York-Amsterdam: W.A. Benjamin, Inc. 1967, S. 449–454.
Kuczma, M.: Functional equations in a single variable. Warszawa: Polish Scientific Publ. 1968.
Lublin, M.: On a class of nonlinear difference equations. Mat. Tidsskr. B(1946) 120–128.
Pittnauer, F.: Asymptotische Selbstentwicklungen von holomorphen Funktionen. Math. Zeitschr. 123(1971) 365–372.
Pittnauer, F.: Vorlesungen über asymptotische Reihen. Lecture Notes in Math. Nr. 301; Berlin-Heidelberg-New York: Springer, 1972.
Rickstiņš, E.J. und Muriņa, M.J.: Über die asymptotische Darstellung impliziter Funktionen. (russ.) Lat. Mat. Ezegodnik, Riga 1(1965) 23–36.
Rozmus-Chmura, M.: Sur l'equation fonctionnelle φ(x+1)=f[φ(x)]. Mat. Vesnik 4(1967) 75–78.
Schmidt, H.: Über ganze Lösungen einer Klasse nichtlinearer Differenzengleichungen. Vortrag, Universität Dortmund, 23. 10. 72
Smajdor, W.: On the existence and uniqueness of analytic solutions of the functional equation φ(z)=h(z, φ[f(z)]). Ann. Polon. Math. 19(1967) 37–45.
Smajdor, W.: Analytic solutions of the equation φ(z)=h(z, φ[f(z)]) with right side contracting. Aequat. Math. 2(1969) 30–38.
Strodt, W. and Wright, R.K.: Asymptotic behavior of solution and adjunction fields for nonlinear first order differential equations. Memoirs of the AMS, No. 109, Providence, R.I. 1971.
Swanson, C.A. and Schulzer, M.: Asymptotic solutions of equations in Banach space. Canad. J. Math. 13(1961) 493–504.
Wasow, W.: Asymptotic expansions for ordinary differential equations. New York: Interscience Publ. 1965.
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Pittnauer, F. (1973). Asymptotische Lösungen Von Funktionalgleichungen. In: Ansorge, R., Törnig, W. (eds) Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Lecture Notes in Mathematics, vol 333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060698
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DOI: https://doi.org/10.1007/BFb0060698
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