ON THE INTEGRAL REPRESENTATIONS OF SOLUTIONS OF SOME MATRIX PENCILS OF THE STURM-LIOUVILLE EQUATION

Adiloğlu, Anar; Saltan, Suna; Gurbuz, Şaban

doi:10.32010/j.bmj.2022.21

ON THE INTEGRAL REPRESENTATIONS OF SOLUTIONS OF SOME MATRIX PENCILS OF THE STURM-LIOUVILLE EQUATION

Adiloğlu A., Saltan S., Gurbuz Ş. T.

Baku Journal of Mathematics, vol.1, no.2, pp.205-229, 2022 (Peer-Reviewed Journal)

Publication Type: Article / Article
Volume: 1 Issue: 2
Publication Date: 2022
Doi Number: 10.32010/j.bmj.2022.21
Journal Name: Baku Journal of Mathematics
Page Numbers: pp.205-229
Süleyman Demirel University Affiliated: Yes

Abstract

İn the present work, we obtainsome integral representations for special solutions, which play an important role in solving direct and inverse problems for second-order and fourth-order matrix Sturm-Liouville pencils and we also investigate some useful properties of the special solutions.