Convergence of solutions for an equation with state-dependent delay (Q5930134)

Here, the author considers the equation with state-dependent delay \(x'(t)=-\mu x(t)+f(x(t-r(x(t))))\) with \(\mu>0\) and \(f\) and \(r\) are smooth real functions with \(f(0)=0\) and \(f'>0\), which solutions induce a monotone semiflow, but not strongly order preserving. Under a monotonicity condition different from the strong order preserving property, a generic convergence is proven.