This paper examines the distribution of zeros of first-order differential equations with nondecreasing delays. We establish precise criteria ensuring that every solution has at least one zero in each prescribed interval, together with explicit estimates for the distance between consecutive zeros. Notably, the location of zeros problem for equations with nondecreasing delays has not been addressed in previous studies, highlighting the novelty of this work. We present numerical examples that cannot be addressed using existing results and demonstrate the applicability of our approach, thus illustrating the accuracy and efficiency of the results obtained.
Emad R. Attia (Tue,) studied this question.