IMPULSIVE STURM-LIOUVILLE PROBLEMS ON TIME SCALES

Facta Universitatis. Series Mathematics and Informatics

article

Bilender P Allahverdiev¹  HÜSEYİN TUNA² 

[1] Faculty of Science and Letter, Department of Mathematics S¨uleyman Demirel Universit;Mehmet Akif Ersoy Üniversity

关键词: Impulsive Sturm–Liouville problems;    maximal and minimal operators;    Green’s function;    self-adjoint operator;    eigenfunction expansion;   

DOI  :  10.22190/FUMI220217046A

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper, we consider an impulsive Sturm-Lioville problem on Sturmian time scales. We investigate the existence and uniqueness of the solution of this problem. We study some spectral properties and self-adjointness of the boundary-value problem. Later, we construct the Green function for this problem. Finally, an eigenfunction expansion is obtained.

【 授权许可】

Unknown