Some Notes on the Solution of Sturm-Liouville Boundary-Value Problems having Polynomial Coefficients using Laplace Transforms

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Abstract

This paper introduces a procedure to apply Laplace transform theory in solving a class of Sturm – Liouville boundary-value problems, namely those having polynomial coefficients. The method demonstrates that not only can Laplace transforms solve differential equations satisfying only initial-value conditions, but can also be adaptable to solving boundary–value problems. In the end, the application of inverse Laplace transforms to the problem introduces the reader to a novel approach in the analysis and solution of a specific class of Sturm – Liouville boundary problems.
Original languageEnglish
Article number24
Pages (from-to)175-180
Number of pages6
JournalInternational Journal of Scientific and Research Publications
Volume11
Issue number6
Early online date7 Jun 2021
DOIs
Publication statusPublished - 7 Jun 2021

Keywords

  • Sturm-Liouville operators
  • Laplace transform

ASJC Scopus subject areas

  • Mathematics(all)

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