International Journal of Mathematics Trends and Technology
Volume 67 | Issue 12 | Year 2021 | Article Id. IJMTT-V67I12P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I12P510
This research article devised an optimal computational strategy for the variation of constants formula for systems of autonomous linear delay initial-function problems, with a view to devising global analytic functional forms for the solutions of single-delay autonomous linear delay scalar initial-function problems. In the sequel the article obtained the unique solutions to all associated constant initial function problems, using a sequence of internally established claims, integration by parts and mathematical inductive principle. These results are unprecedented. An illustrative example followed.
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[2] Ukwu, C. and Garba, E.J.D. Construction of optimal expressions for transition matrices of a class of double - delay scalar differential equations. African Journal of Natural Sciences (AJNS). 16 (2013b) 53 - 61.
[3] Ukwu, C. On computational structure and disposition of solution matrices of single-delay linear neutral scalar differential equations. International Journal of Mathematics and Statistics Studies. (IJMSS), 2(4) (2014) 25- 41.
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Chukwnenye Ukwu, Emmanuel Joseph Garba, "Explicit Global Analytic Solutions to Scalar Single-delay Autonomous Initial Function Problems," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 12, pp. 82-93, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I12P510
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