Identification of the Domain of the Sturm-Liouville Operator on a Star Graph

被引：6

作者：

Kanguzhin, Baltabek ^{[1
]}

Rasa, Ghulam Hazrat Aimal ^{[1
,2
]}

Kaiyrbek, Zhalgas ^{[1
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Inst Math & Math Modeling, Alma Ata 050040, Kazakhstan

[2] Shaheed Prof Rabbani Educ Univ, Kabul 1001, Afghanistan

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 07期

关键词：

boundary conditions; boundary value problems; canonical problems; EIGENVALUES;

D O I：

10.3390/sym13071210

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This article is devoted to the unique recovering of the domain of the Sturm-Liouville operator on a star graph. The domain of the Sturm-Liouville operator is uniquely identified from the set of spectra of a finite number of specially selected canonical problems. In the general case, the domain of the definition of the original operator can be specified by integro-differential linear forms. In the case when the domain of the Sturm-Liouville operator on a star graph corresponds to the boundary value problem, it is sufficient to choose only finite parts of the spectra of canonical problems for a unique identification of the boundary form. Moreover, the above statement is valid only for a symmetric star graph.

引用

页数：15

共 14 条

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