The Borg’s Theorem for Singular Sturm-Liouville Problem with Non-Separated Boundary Conditions

نویسندگان

1 Department of Mathematics, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, University of Mazandaran, Babolsar, Iran

doi
10.22052/mir.2023.248423.1377
چکیده

‎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.