Asymptotics and oscillation for first order neutral functional differential equations
This paper deals with the first order linear neutral functional differential equation (1) \({d \over dt} [y(t) + py(t - \tau)] + qy (t - \sigma) = 0\), \(t \geq t_ 0\), where \(q \neq 0\); \(p,\tau\), \(\sigma \in R\). The authors study the asymptotic behaviour of nonoscillatory solutions of (1) under the following conditions: (2) \(p<0\) and \(q \tau<0\) or (3) \(p=1\), \(q<0\), \(\tau \neq 0\).
first order linear neutral functional differential equation
asymptotic behaviour of nonoscillatory solutions
scientific article; zbMATH DE number 645247
scientific article