Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation
Volume 25 / 1999
                    
                    
                        Applicationes Mathematicae 25 (1999), 393-399                    
                                        
                        DOI: 10.4064/am-25-4-393-399                    
                                    
                                                Abstract
A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            