Harris, W. A. jun.; Sibuya, Y. General solution of nonlinear difference equations. (English) Zbl 0143.10501 Trans. Am. Math. Soc. 115, 62-75 (1965). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents Keywords:ordinary differential equations PDFBibTeX XMLCite \textit{W. A. Harris jun.} and \textit{Y. Sibuya}, Trans. Am. Math. Soc. 115, 62--75 (1965; Zbl 0143.10501) Full Text: DOI References: [1] R. Bellman, Stochastic transformations and functional equations, IRE Trans. 7 (1962), 120. · Zbl 0147.15902 [2] K. O. Friedrichs, Special topics in analysis, Lecture notes, New York University, New York, 1953-1954. [3] W. A. Harris Jr. and Y. Sibuya, Asymptotic solutions of systems of nonlinear difference equations, Arch. Rational Mech. Anal. 15 (1964), 377 – 395. · Zbl 0122.09704 · doi:10.1007/BF00256928 [4] W. A. Harris Jr. and Y. Sibuya, Note on linear difference equations, Bull. Amer Math. Soc. 70 (1964), 123 – 127. · Zbl 0122.09801 [5] J. Horn, Über eine nicht lineare Differenzengleichung, Jber. Deutsch. Math.-Verein. 26 (1918), 230-251. · JFM 46.0709.01 [6] Yasutaka Sibuya, Asymptotic solutions of initial value problems of ordinary differential equations with a small parameter in the derivative. II, Arch. Rational Mech. Anal. 15 (1964), 247 – 262. · Zbl 0151.12503 · doi:10.1007/BF00275634 [7] W. J. Trjitzinsky, Non-linear difference equations, Compositio Math. 5 (1937-38), 1-60. · Zbl 0007.21103 [8] Minoru Urabe, Equations of Schröder, J. Sci. Hiroshima Univ. Ser. A. 15 (1951), 113 – 131, 203 – 233 (1952). · Zbl 0045.06402 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.