Dimension of space of solutions for a linear nonautonomous infinite delay differential equation (Q2738685)

The author considers the linear nonautonomous delay differential equations with infinite delay \(\dot y = - P(t)y(t) - Q(t) \Sigma_{n=1}^{\infty} K^{n-1}y(t-nr)\), \(y \in \mathbb{R}^2\), \(t \in \mathbb{R}.\) Asymptotic properties of the coefficients are defined such that the system has a one-dimensional space of bounded solutions.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00044].