General solution of nonlinear difference equations
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- by W. A. Harris and Y. Sibuya
- Trans. Amer. Math. Soc. 115 (1965), 62-75
- DOI: https://doi.org/10.1090/S0002-9947-1965-0200624-4
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References
- R. Bellman, Stochastic transformations and functional equations, IRE Trans. 7 (1962), 120.
K. O. Friedrichs, Special topics in analysis, Lecture notes, New York University, New York, 1953-1954.
- W. A. Harris Jr. and Y. Sibuya, Asymptotic solutions of systems of nonlinear difference equations, Arch. Rational Mech. Anal. 15 (1964), 377–395. MR 159148, DOI 10.1007/BF00256928
- W. A. Harris Jr. and Y. Sibuya, Note on linear difference equations, Bull. Amer. Math. Soc. 70 (1964), 123–127. MR 0157140, DOI 10.1090/S0002-9904-1964-11047-8 J. Horn, Über eine nicht lineare Differenzengleichung, Jber. Deutsch. Math.-Verein. 26 (1918), 230-251.
- 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. MR 159095, DOI 10.1007/BF00275634 W. J. Trjitzinsky, Non-linear difference equations, Compositio Math. 5 (1937-38), 1-60.
- Minoru Urabe, Equations of Schröder, J. Sci. Hiroshima Univ. Ser. A 15 (1951), 113–131, 203–233 (1952). MR 63556
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 115 (1965), 62-75
- MSC: Primary 39.20
- DOI: https://doi.org/10.1090/S0002-9947-1965-0200624-4
- MathSciNet review: 0200624