Periodic and antiperiodic boundary value problems for the Sturm-Liouville equation with the discontinuous coefficient

Authors

• Suleyman Demirel University
• K. D. ÇOŞKUN
• A. A. NABIEV
• S. SALTAN

Page

3-21

Abstract

The present paper studies the boundary-value problem in a finite segment generating with the discontinuous Sturm-Liouville equation and periodic(antiperiodic) boundary conditions. We prove completeness of the system of eigenfunctions and generalized eigenfunctions in the space L2(0, π; ρ), obtain the asymptotic formulas for the solution and prove the asymptotic formulas for the eigenvalues of the periodic and antiperiodic boundary value problems

Recommended Citation

Suleyman Demirel University; ÇOŞKUN, K. D.; NABIEV, A. A.; and SALTAN, S. (2023) "Periodic and antiperiodic boundary value problems for the Sturm-Liouville equation with the discontinuous coefficient," Baku Mathematical Journal: Vol. 2: Iss. 1, Article 1.
DOI: 10.32010/j.bmj.2023.0
Available at: https://www.bakumathj.org/home/vol2/iss1/1