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General solution of nonlinear difference equations. (English) Zbl 0143.10501


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[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
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