Analyze the Eigenvalues of a Neutral Delay Differential Equation by Employing the Generalized Lambert W Function
K. SasikalaDepartment of Mathematics, Hindustan Institute of Technology and Science, Chennai 603103, IndiaD. PiriadarshaniDepartment of Mathematics, Hindustan Institute of Technology and Science, Chennai 603103, IndiaVediyappan GovindanDepartment of Mathematics, Hindustan Institute of Technology and Science, Chennai 603103, IndiaM. Ijaz KhanDepartment of Mechanical Engineering, Lebanese American University, Kraytem, Beirut 1102-2801, LebanonM. K. GuptaDivision of Research and Technology, Lovely Professional University, Phagwara 1444, IndiaArtur Zayniddinovich KoryogdievChief Accountant, Jizzakh State Pedagogical University, Jizzakh 130100, UzbekistanAlmetwally M. MostafaDepartment of Information Systems, College of Computers and Information Science, King Saud University, Riyadh 11421, Saudi ArabiaNouf F. AlQahtaniDepartment, College of Education, King Saud University, Riyadh 11421, Saudi Arabia
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Аннотация
In this paper the authors discuss a class of differential equations known as neutral delay differential equations (NDDEs) in which the delay occurs in the derivative with the highest order. They are encountered in various fields of applied sciences and are essential for mathematically representing real-world phenomena. It was challenging to discover approximate analytical solutions for certain methods. In this study, the researchers utilized the generalized Lambert W function to derive the characteristic roots for a first-order neutral delay differential equation featuring random delays. Numerical examples were then utilized to validate the obtained results.
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