Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant
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 e...
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University of Baghdad
2025-06-01
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| Series: | Journal of Engineering |
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| Online Access: | https://joe.uobaghdad.edu.iq/index.php/main/article/view/3610 |
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| author | Sora Ali Majeed Hussain Ali Mohamad |
| author_facet | Sora Ali Majeed Hussain Ali Mohamad |
| author_sort | Sora Ali Majeed |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-7aec01c9ec8e412894e96ec56c049b8d |
| institution | OA Journals |
| issn | 1726-4073 2520-3339 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj-art-7aec01c9ec8e412894e96ec56c049b8d2025-08-20T02:39:04ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392025-06-0131610.31026/j.eng.2025.06.05Oscillation in the Food Rations for Neutral Differential Equation with Piecewise ConstantSora Ali Majeed0Hussain Ali Mohamad1Department of Computer Science, College of Computer Science, University of TechnologyDepartment of Mathematics Science, College of Science for Women, University of Baghdad 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. https://joe.uobaghdad.edu.iq/index.php/main/article/view/3610DelayDifferential equationLogistic equationOscillationPiecewise constant |
| spellingShingle | Sora Ali Majeed Hussain Ali Mohamad Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant Journal of Engineering Delay Differential equation Logistic equation Oscillation Piecewise constant |
| title | Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant |
| title_full | Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant |
| title_fullStr | Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant |
| title_full_unstemmed | Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant |
| title_short | Oscillation in the Food Rations for Neutral Differential Equation with Piecewise Constant |
| title_sort | oscillation in the food rations for neutral differential equation with piecewise constant |
| topic | Delay Differential equation Logistic equation Oscillation Piecewise constant |
| url | https://joe.uobaghdad.edu.iq/index.php/main/article/view/3610 |
| work_keys_str_mv | AT soraalimajeed oscillationinthefoodrationsforneutraldifferentialequationwithpiecewiseconstant AT hussainalimohamad oscillationinthefoodrationsforneutraldifferentialequationwithpiecewiseconstant |