Discussion of periodic solutions for \(p\)th order delayed NDEs. (Q1855703)

The authors obtain some results on the existence and uniqueness of periodic solutions for linear neutral differential equations with several delays of the form \[ \sum_{i=0}^{p}a_i x^{(i)}(t)+ \sum_{j=1}^{m}\sum_{i=0}^{p}u_{ji} x^{(i)}(t-h_j)=f(t). \] Here, \(m\) and \(p\) are nonnegative integers, \(h_j>0\), \(a_i\) and \(u_{ji}\) are constants, and \(f\) is continuously differentiable and periodic.