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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

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Open Access Research Article

Focus on the solutions of the delay differential equations

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pp. 703–708Vol. 28Issue 3-AApril 2025DOI: 10.47974/JIM-1965XML
Received:
08 May 2024
Published Online:
08 May 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1965
Pages:
703–708

Abstract

Studying the solutions of the Delay Differential Equations (DDE) is interesting here, where is interested in a 1st order DDE with its solution. Then a DDE of the first, second… and n-th order is introduced to obtain a solution form using Laplace transform. The results outcome from theorems, corollaries, and propositions are proved in this work to clarify a solution. Finally, applications are mentioned with details in solved examples as implementations of the theorems here.

Keywords

Subject Classifications

34A05

References

[1] G. Ladas and I. P. Stavroulakis, “On delay differential inequalities of first order,” Funkcialaj Ekvacioj, vol. 25, pp. 105–113 (1982).
[2] A. H. Jasim and B. M. Al-Baram, “Highlight on the solutions of delay Legendre problems,” in AIP Conference Proceedings, vol. 2591, no. 1, pp. 050032-1–050032-6 (2023).
[3] A. H. Jasim, “Studying the solutions of the delay Sturm Liouville problems,” Italian Journal of Pure and Applied Mathematics, vol. 43, pp. 842–849 (2020).
[4] B. Baculíková, B. Sudha, K. Thangavelu, and E. Thandapani, “Oscillation of second order delay differential equations with nonlinear nonpositive neutral term,” Mathematica Slovaca, vol. 72, no. 1, pp. 103–110 (2022).
[5] K. Saranya, V. Piramanantham, and E. Thandapani, “Oscillation results for third-order semi-canonical quasi-linear delay differential equations,” Nonautonomous Dynamical Systems, vol. 8, pp. 228–238 (2021).
[6] M. E. Elmetwally, T. Ethiraju, M. Osama, and B. Omar, “Oscillation of solutions to fourth-order delay differential equations with middle term,” Open Journal of Mathematical Sciences, vol. 3, pp. 191–197 (2019).
[7] M. L. Abell and J. P. Braselton, Introductory Differential Equations, 5th ed. Academic Press (2018).
[8] A. Rami, “Laplace transform of the product of two functions,” Italian Journal of Pure and Applied Mathematics, vol. 44, pp. 800–804 (2020).
[9] M. G. Mousa and H. O. Altaie, “Study on approximate analytical methods for nonlinear differential equations,” Journal of Interdisciplinary Mathematics, vol. 25, no. 8, pp. 2623–2629 (2022).
[10] H. A. Pacha, N. H. Said, A. A. Pacha, and O. Ozer, “Numerical methods for differential equations as encryption key,” Journal of Interdisciplinary Mathematics, vol. 25, no. 8, pp. 2209–2237 (2022).

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