Necessary and sufficient conditions for oscillation of first-order functional differential equations

AbstractOur aim in this paper is to obtain new necessary and sufficient conditions under which every solution of the functional differential equation with several deviating arguments of the delay ẏ(t)+py(t)+∑i=1npiy(t−τi)=0 will be oscillating. Here pi 0, τi > 0, and p are all constants, i = 1, 2, …, n. Our results are more explicit and more precise than those of Refs. [5, 6, 8, 9] related to Eq. (2)