Abstract

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.

Keywords

References

[1] Ukwu, C. and Garba, E.J.D. The structure of transition matrices for certain single delay systems, and application instances. African Journal of Natural Sciences (AJNS). 16 (2013a) 29- 39.
[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.
[4] Ukwu, C. Functional Differential Systems: Structures, Cores and Controllability. Lap Lambert Academic Publishing, Germany, (2016).