References
- Castillo , S and Pinto , M . 2000 . Asymptotic formulae for nonlinear functional difference equations . Computers & Mathematics with Applications , 42 : 551 – 559 .
- Coffman , CV . 1964 . Asymptotic behavior of solutions of ordinary difference equations . Transactions of American Mathematical Society , 110 : 22 – 51 .
- Farkas , G . 2001 . On the asymptotics of solutions of Poincaré difference systems . Journal of Difference Equations and Applications , 7 : 183 – 191 .
- Gelfond , AO . 1971 . Calculus on Finite Differences , Delhi, , India : Hindustan Publ. Corp. .
- Gemignani , L . 1999 . “ On a generalization of Poincaré's theorem for matrix difference equations arising from root-finding problems ” . In Structured Matrices in Mathematics, Computer Science, and Engineering II , 265 – 278 . American Mathematical Society (Vadim Olshevsky Ed.) .
- Maté , A and Nevai , P . 1990 . A generalization of Poincaré's theorem for recurrence equations . Journal of Approximation Theory , 63 : 92 – 97 .
- Perron , O . 1909 . Über Einen Satz des Herrn Poincaré . Journal fur die Reine und Angewandte Mathematik , 136 : 17 – 37 .
- Pinto , M . 1994 . Discrete dichotomies . Computers & Mathematics with Applications , 28 : 259 – 270 .
- Pinto , M . 2003 . Null-solutions of difference systems under vanishing perturbation . Journal of Difference Equations and Applications , 9 : 1.13
- Pituk , M . 1997 . Asymptotic behavior of a Poincaré recurrence system . Journal of Approximation Theory , 91 : 226 – 243 .
- Pituk , M . 2002 . Asymptotic behavior of a nonhomogeneous linear recurrence system . Journal of Mathematical Analysis and Applications , 267 : 626 – 642 .
- Poincaré , H . 1885 . Sur les equations lineaires aux differentieles et aux difference finies . American Journal of Mathematics , 7 : 203 – 258 .
- Trench , W . 1993 . Asymptotic behavior of solutions of Poincaré difference equations . Proceedings of the American Mathematical Society , 119 : 431 – 438 .
- Trench , W . 1994 . Asymptotic behavior of solutions of Poincaré recurrence systems . Computers & Mathematics with Applications , 28 : 317 – 324 .