Multiple slowly oscillating periodic solutions for $x’(t) = f(x(t-1))$ with negative feedback
Volume 118 / 2016
                    
                    
                        Annales Polonici Mathematici 118 (2016), 113-140                    
                                        
                        MSC: Primary 34K13, 34C25; Secondary 37C25.                    
                                        
                        DOI: 10.4064/ap3899-10-2016                    
                                            
                            Published online: 16 December 2016                        
                                    
                                                Abstract
We consider the prototype equation \begin{equation*} x^{\prime}(t)=f(x(t-1)) \end{equation*} for delayed negative feedback. We review known results on uniqueness and nonuniqueness of slowly oscillating periodic solutions, and present some new results and examples.