Principal fundamental system of solutions, the Hartman-Wintner problem and correct solvability of the general Sturm-Liouville equation

被引：1

作者：

Chernyavskaya, N. ^{[1
]}

Shuster, L. ^{[2
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer Sheva, Israel

[2] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2024年 / 17卷 / 03期

关键词：

General Sturm-Liouville equation; Correct solvability; CRITERION; OPERATOR;

D O I：

10.1007/s40574-023-00398-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the problem of correct solvability in the space L-p(R), p is an element of [1,infinity)of the equation-(r(x)y '(x))' + q(x)y(x) = f(x), x is an element of Runder the conditionsr > 0, q >= 0, 1/r is an element of L-1(R), q is an element of L-1(R).

引用

页码：589 / 612

页数：24

共 27 条

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[27] Criteria for correct solvability of a general Sturm–Liouville equation in the space L1(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_1({\mathbb {R}})$$\end{document}
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