On the distribution of zeros of all solutions of a first order nonlinear neutral differential equation


Ahmed Elbasha, Hassan A El-Morshedy, Said R Grace




We investigate the distribution of zeros of all solutions of a non-autonomous nonlinear neutral differential equation that generalizes a lossless transmission network model. The neutral term is taken to be positive. We give several new estimations of the gap between adjacent zeros. The obtained results are supported by illustrative examples.