Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant
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Abstract
There are numerous real-world applications for delay differential equations, including engineering model systems with time delays, such as control systems and communication networks, time-limited meals, blood pressure, hemopoiesis, and others, especially when the oscillation in these equations is exploited. To fulfill the goal of this study, certain of the coefficients in the first-order logistic equation must be piecewise continuous. This can only be accomplished by using the delay differential equations with the piecewise constant argument to investigate the oscillation or nonoscillation property of all first-order logistic equation solutions. The solution's piecewise constant is the largest integer function. Using techniques such as transforming the non-linear delay differential equation to a linear delay differential equation and then using integral inequality, we provide adequate circumstances for all solutions to oscillate. To ensure all solutions, required and adequate conditions have been defined. After that, looking at an example shows how the oscillation of the food-limited equation. Also, the figures appearing at the end of examples show more explanation.
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