Oscillation behavior of solutions for even order neutral functional differential equations
Consider the linear neutral functional differential equation \[ [x(t)+ \lambda ax(t+\alpha h)+\mu bx(t+\beta g)]^{(n)}=p\int^d_cx(t-\xi)\,d \xi+q\int^d_c x(t+\xi)\,d\xi,\tag{*} \] where \(\lambda=\pm 1\), \(\mu= \pm 1\), \(\alpha=\pm 1\), \(\beta=\pm 1\), \(h,g,a\) and \(b\) are nonnegative real constants, \(p\) and \(q\) are positive numbers, and \([c,d]\) is a positive interval. The author gives several different conditions on the constants such that (*) is oscillatory. He also presents some examples.
scientific article; zbMATH DE number 5573942