On the Global Stability of One Nonlinear Difference Equation

Autor:	O. I. Nenya, S. I. Trofymchuk, Viktor Tkachenko
Rok vydání:	2004
Předmět:	Nonlinear system Mathematics (miscellaneous) Partial differential equation Sublinear function Differential equation Ordinary differential equation Negative feedback Mathematical analysis Zero (complex analysis) Stability (probability) Mathematics
Zdroj:	Nonlinear Oscillations. 7:473-480
ISSN:	1536-0059
DOI:	10.1007/s11072-005-0027-5
Popis:	We give exact sufficient conditions for the global stability of the zero solution of the difference equation x n + 1 = qx n + f n (x n , ..., x n − k ), n ∈ ℤ, where the nonlinear functions f n satisfy the conditions of negative feedback and sublinear growth.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d05b5d79e8edb8259623e60290c50d1d https://doi.org/10.1007/s11072-005-0027-5 Zobrazit plný text záznamu Full text from SpringerLink