Monotonicity of Eventually Positive Solutions for a Second Order Nonlinear Difference Equation
Author(s) -
Huiqin Chen,
Zhen Jin,
Shugui Kang
Publication year - 2013
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2013/635149
Subject(s) - monotonic function , monotone polygon , mathematics , nonlinear system , order (exchange) , class (philosophy) , mathematical analysis , computer science , physics , economics , geometry , finance , quantum mechanics , artificial intelligence
We derive several sufficient conditions for monotonicity of eventually positive solutions on a class of second order perturbed nonlinear difference equation. Furthermore, we obtain a few nonexistence criteria for eventually positive monotone solutions of this equation. Examples are provided to illustrate our main results
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