Research Article

Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities

Volume: 15 Number: 2 December 31, 2023
EN

Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities

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

Keywords

References

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  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.
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  7. Borsuk, M., Transmission Problems for Elliptic Second-order Equations in Non-smooth Domains, Springer, Basel AG, 2010.
  8. Garcia-Huidobra, M., Gupta Chaitan, P., Manasevich, R., Some multipoint boundary value problems of Neumann-Dirichlet type involving a multipoint p-Laplace like operator, J. Math. Anal. Appl., 333(2007), 247–264.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2023

Submission Date

July 3, 2022

Acceptance Date

September 29, 2022

Published in Issue

Year 2023 Volume: 15 Number: 2

APA
Kandemir, M., & Baltürk, T. (2023). Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities. Turkish Journal of Mathematics and Computer Science, 15(2), 258-269. https://doi.org/10.47000/tjmcs.1138229
AMA
1.Kandemir M, Baltürk T. Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities. TJMCS. 2023;15(2):258-269. doi:10.47000/tjmcs.1138229
Chicago
Kandemir, Mustafa, and Tevhide Baltürk. 2023. “Spectral Properties of Discontinuous Boundary Value Problem With Transmission Conditions and Manypoint Singularities”. Turkish Journal of Mathematics and Computer Science 15 (2): 258-69. https://doi.org/10.47000/tjmcs.1138229.
EndNote
Kandemir M, Baltürk T (December 1, 2023) Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities. Turkish Journal of Mathematics and Computer Science 15 2 258–269.
IEEE
[1]M. Kandemir and T. Baltürk, “Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities”, TJMCS, vol. 15, no. 2, pp. 258–269, Dec. 2023, doi: 10.47000/tjmcs.1138229.
ISNAD
Kandemir, Mustafa - Baltürk, Tevhide. “Spectral Properties of Discontinuous Boundary Value Problem With Transmission Conditions and Manypoint Singularities”. Turkish Journal of Mathematics and Computer Science 15/2 (December 1, 2023): 258-269. https://doi.org/10.47000/tjmcs.1138229.
JAMA
1.Kandemir M, Baltürk T. Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities. TJMCS. 2023;15:258–269.
MLA
Kandemir, Mustafa, and Tevhide Baltürk. “Spectral Properties of Discontinuous Boundary Value Problem With Transmission Conditions and Manypoint Singularities”. Turkish Journal of Mathematics and Computer Science, vol. 15, no. 2, Dec. 2023, pp. 258-69, doi:10.47000/tjmcs.1138229.
Vancouver
1.Mustafa Kandemir, Tevhide Baltürk. Spectral Properties of Discontinuous Boundary Value Problem with Transmission Conditions and Manypoint Singularities. TJMCS. 2023 Dec. 1;15(2):258-69. doi:10.47000/tjmcs.1138229