Abstract
In this study, we investigate a discontinuous Sturm-Liouville boundary value problem on three intervals
with manypoint-transmission conditions in direct sum of Sobolev space. We establish such spectral properties as Fredholmness and coreciveness with respect to the eigenvalue parameter
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
Reference28 articles.
1. Agranovich, M.S., Spectral properties of diffraction problems The Generalized Method of Eigenoscillations in the Theory of Diffraction Theory, 1977 (in Russian: translated into English Wiley-VCH, Berlin), 1999.
2. Akdoğan, Z., Yakar, A., Demirci, M., Discontinuous fractional Sturm-Liouville problems with transmission conditions, Applied Mathematics and Computation, , 350(2019), 1–10.
3. Aliyev, Z.S., Basis properties of a fourth order differential operator with spectral parameter in the boundary condition, Open Mathematics, 8(2)(2010), 378–388.
4. Aydemir, K., Boundary value problems with eigenvalue depending boundary and transmission conditions, Boundary Value Problems, 131(2014).
5. Aydemir, K., Mukhtarov, O.Sh. Spectrum and Green’s function of a many-interval Sturm-Liouville problem, Z. Naturforsch., 70(5)(2015), 301–308.