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).
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页码：589 / 612
页数：24
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