University of Kashan Mathematics Interdisciplinary Research 2538-3639 8 3 2023 09 01 The Borg’s Theorem for Singular Sturm-Liouville Problem with Non-Separated Boundary Conditions 233 245 113990 10.22052/mir.2023.248423.1377 EN Maedeh Bagherzadeh Department of Mathematics, University of Mazandaran, Babolsar, Iran Abdolali Neamaty Department of Mathematics, University of Mazandaran, Babolsar, Iran Journal Article 2022 10 10 ‎In this paper‎, ‎we consider a Sturm-Liouville equation with non-separated boundary conditions on a finite interval‎. ‎We discuss some properties of solutions of the Sturm-Liouville equation‎, ‎where the potential function has a singularity in the finite interval‎. ‎We also calculate eigenvalues and prove the uniqueness of Borg's Theorem of this boundary value problem‎.<br />  https://mir.kashanu.ac.ir/article_113990_8aa77942744ee51e58e491f7c7eb9ba9.pdf