A change of variables in the asymptotic theory of differential equations with unbounded delays
The author deals with asymptotic properties of solutions to the nonhomogeneous linear differential equation \[ \dot x(t)= ax(\tau(t))+ bx(t)+ f(t)\tag{1} \] with nonzero real scalars \(a\), \(b\), and unbounded lag. The key techniques here is based on a change of the independent and dependent variables in equation (1) into a more suitable form. This work is closely related to \textit{E. B. Lim} [SIAM J. Math. Anal. 9, 915-920 (1978; Zbl 0392.34035)].
scientific article; zbMATH DE number 1787630
scientific article