Affiliation:
1. Serbian Academy of Sciences
Abstract
We present several classes of nonlinear difference equations
solvable in closed form, which can be obtained from some known iteration
processes, and for some of them we give some generalizations by presenting
methods for constructing them. We also conduct several analyses and give
many comments related to the difference equations and iteration processes.
Reference59 articles.
1. [1] D. Adamovic', Solution to problem 194, Mat. Vesnik 23(1971), 236-242.
2. [2] M. Altman, An optimum cubically convergent iterative method of inverting a linear bounded operator in Hilbert space, Pacific J. Math. 10(1960), 1107-1113. https://doi.org/10.2140/pjm.1960.10.1107
3. [3] I. Bajo, E. Liz, Global behaviour of a second-order nonlinear difference equation, J. Difference Equ. Appl. 17(2011), No. 10, 1471-1486. https://doi.org/10.1080/ 10236191003639475
4. [4] M. I. Bashmakov, B. M. Bekker, V. M. Gol'hovoi, Zadachi po matematike. Algebra i analiz (in Russian), Nauka, Moskva, 1982.
5. [5] K. Berenhaut, J. Foley, S. Stevic', Boundedness character of positive solutions of a max difference equation, J. Difference Equ. Appl. 12(2006), No. 12, 1193-1199. https://doi.org/10.1080/10236190600949766