Monotonic Solutions of Second Order Nonlinear Difference Equations

Authors

  • Lianwen Wang University of Central Missouri
  • Anthony Willett University of Central Missouri

Keywords:

Nonlinear difference equations, classification, bounded solutions, monotonic solutions

Abstract

Classification, boundedness, and existence of solutions of a second order nonlinear difference equation are investigated. First, it is proved that all  solutions are eventually monotone. Then, the necessary and sufficient conditions for the boundedness of all solutions are established. Finally, the existence of different types of monotonic solutions are presented. The obtained results have extended and improved some existing ones.

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Published

2021-11-10

Issue

Vol. 16

Section

Vol. 16, No. 7, (2022)

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