TY - JOUR
AU - А.Sh. Shaldanbayev,
AU - А.А. Shaldanbayevа,
AU - B.А. Shaldanbay,
PY - 2019/06/10
Y2 - 2024/10/15
TI - ON SQUARE ROOT OF STURM-LIUVILLE OPERATOR
JF - Доклады НАН РК. Физико-математическая серия
JA - PMS
VL -
IS - 3
SE - Статьи
DO -
UR - https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1640
SP - 97-113
AB - <p>In this paper, we find square root of the Sturm – Liouville operator and show that this root is a<br>functional-differential operator of first-order. Form of the corresponding boundary problem of this functional -<br>differential equation is found. As a suggestive idea, we use one Putnam theorem. Boundary value conditions of the<br>Sturm-Liouville operator have a very special form, and they are dictated by the method of investigation. The found<br>unitary operator generalizes the known momentum operator.</p>
ER -