Explicit Global Analytic Solutions to Scalar Single-delay Autonomous Initial Function Problems

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-12
Year of Publication : 2021
Authors : Chukwnenye Ukwu, Emmanuel Joseph Garba
  10.14445/22315373/IJMTT-V67I12P510

MLA

MLA Style: Chukwnenye Ukwu, Emmanuel Joseph Garba "Explicit Global Analytic Solutions to Scalar Single-delay Autonomous Initial Function Problems" International Journal of Mathematics Trends and Technology 67.12 (2021):82-93. 

APA Style: Chukwnenye Ukwu, Emmanuel Joseph Garba(2021). Explicit Global Analytic Solutions to Scalar Single-delay Autonomous Initial Function Problems International Journal of Mathematics Trends and Technology, 67(12), 82-93.

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.

Reference

[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).

Keywords : Computational, Initial-Function, Problems, Matrices, Optimal.