Nonlinear difference equations analytic in a parameter
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- by C. F. Stephens PDF
- Trans. Amer. Math. Soc. 64 (1948), 268-282 Request permission
References
- R. D. Carmichael, The Present State of the Difference Calculus and the Prospect for the Future, Amer. Math. Monthly 31 (1924), no. 4, 169–183. MR 1520406, DOI 10.2307/2299438 Heinrich Löwig, Zur Theorie der nichtlinearen Differenzengleichungen, Acta Math. vols. 57-58, pp. 293-340. Horn, Zur Theorie nichtlinearen Differential und Differenzengleichungen, J. Math. Pures Appl. vol. 141 (1912) pp. 200-216. —, Über eine nichtlineare Differenzengleichung, Jber. Deutschen Math. Verein, vol. 26, pp. 230-251. R. Moulton, Differential equations, New York, Macmillan, 1930. E. Nörlund, Neuere Untersuchungen über Differenzengleichungen, Encyklopädie der Mathematischen Wissenschaften II, 3-2, 1923, pp. 705-711. Oskar Perron, Über Stabilität und asymptotisches Verhalten der Lösungen eines System endlicher Differenzengleichungen, Journal für Mathematik vol. 161, pp. 41-64.
- Ta Li, Die Stabilitätsfrage bei Differenzengleichungen, Acta Math. 63 (1934), no. 1, 99–141 (German). MR 1555392, DOI 10.1007/BF02547352
- W. J. Trjitzinsky, Non-linear difference equations, Compositio Math. 5 (1938), 1–66. MR 1556988 —, Concerning linear difference equations containing a parameter, Annali di Matematica (4) vol. 14 (1936) pp. 181-214.
Additional Information
- © Copyright 1948 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 64 (1948), 268-282
- MSC: Primary 39.0X
- DOI: https://doi.org/10.1090/S0002-9947-1948-0026229-6
- MathSciNet review: 0026229