Analytic Solutions of second order Nonlinear Difference Equations all of whose Eigenvalues are 1

Mami Suzuki

Rendiconti del Seminario Matematico della Università di Padova (2009)

  • Volume: 122, page 13-25
  • ISSN: 0041-8994

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Suzuki, Mami. "Analytic Solutions of second order Nonlinear Difference Equations all of whose Eigenvalues are 1." Rendiconti del Seminario Matematico della Università di Padova 122 (2009): 13-25. <http://eudml.org/doc/108767>.

@article{Suzuki2009,
author = {Suzuki, Mami},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {system of nonlinear difference equations; analytic solution},
language = {eng},
pages = {13-25},
publisher = {Seminario Matematico of the University of Padua},
title = {Analytic Solutions of second order Nonlinear Difference Equations all of whose Eigenvalues are 1},
url = {http://eudml.org/doc/108767},
volume = {122},
year = {2009},
}

TY - JOUR
AU - Suzuki, Mami
TI - Analytic Solutions of second order Nonlinear Difference Equations all of whose Eigenvalues are 1
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2009
PB - Seminario Matematico of the University of Padua
VL - 122
SP - 13
EP - 25
LA - eng
KW - system of nonlinear difference equations; analytic solution
UR - http://eudml.org/doc/108767
ER -

References

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  1. [1] D. DENDRINOS, Private communication. 
  2. [2] T. KIMURA, On the Iteration of Analytic Functions, Funkcialaj Ekvacioj, 14 (1971), pp. 197-238. Zbl0237.30008MR302876
  3. [3] M. SUZUKI, Holomorphic solutions of some functional equations, Nihonkai Math. J., 5 (1994), pp. 109-114. Zbl0957.39500MR1312121
  4. [4] M. SUZUKI, Holomorphic solutions of some system of n functional equations with n variables related to difference systems, Aequationes Mathematicae, 57 (1999), pp. 21-36. Zbl0924.39019MR1675747
  5. [5] M. SUZUKI, Holomorphic solutions of some functional equations II, Southeast Asian Bulletin of Mathematics, 24 (2000), pp. 85-94. Zbl0979.39013MR1811217
  6. [6] M. SUZUKI, Difference Equation for a Population Model , Discrete Dynamics in Nature and Society, 5 (2000), pp. 9-18. Zbl1229.92066MR1777609
  7. [7] A. MATSUMOTO - M. SUZUKI, Analytic Solutions of Nonlinear CournotDuopoly Game, Discrete Dynamics in Nature and Society, 2005, issue 2 (2005), pp.119-133. Zbl1186.91041MR2203452
  8. [8] M. SUZUKI, Holomorphic solutions of a functional equation and their applications to nonlinear second order difference equations, Aequationes mathematicae, 74 (2007), pp. 7-25. Zbl1130.39020MR2355856
  9. [9] M. SUZUKI, Analytic General Solutions of Nonlinear Difference Equations, Annali di Matematica Pura ed Applicata, 187 (2008), pp. 353-368. Zbl1139.39002MR2372805
  10. [10] N. YANAGIHARA, Meromorphic solutions of some difference equations, Funkcialaj Ekvacioj, 23 (1980), pp. 309-326. Zbl0474.30024MR621536

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