Oscillatory Dynamics of Nonlinear Neutral Delay Systems With Application to Mackey–Glass Type Kinetics

In the present study, we discuss sufficient conditions for the unbounded oscillatory solutions of a class of nonlinear differential equations of neutral type with time delays, which extends and generalizes several known results from the existing literature, thereby making it more applicable to real world problems. We have justified the nature of solutions of proposed neutral delay differential equations with various examples and plot them with MATLAB software. Further, a new proof of the lemma is presented in this paper. To understand the real‐life applications of the proposed NDDE system, we study the kinetics of a Mackey–Glass type model.