DOAJ Open Access 2024

Operator-pencil treatment of multi-interval Sturm-Liouville equation with boundary-transmission conditions

H. Olǧar F. Muhtarov O. Mukhtarov

Abstrak

This paper is devoted to a new type of boundary-value problems for Sturm-Liouville equations defined on three disjoint intervals (−π,−π+d),(−π+d,π−d) and (π−d,π) together with eigenparameter dependent boundary conditions and with additional transmission conditions specified at the common end points −π+d and π−d, where 0<d<π. The considered problem cannot be treated by known techniques within the usual framework of classical Sturm-Liouville theory. To establish some important spectral characteristics we introduced the polynomial-operator formulation of the problem. Moreover, we develop a new modification of the Rayleigh method to obtain lower bound of eigenvalues.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

H. Olǧar

F. Muhtarov

O. Mukhtarov

Format Sitasi

APA MLA BibTeX

Olǧar, H., Muhtarov, F., Mukhtarov, O. (2024). Operator-pencil treatment of multi-interval Sturm-Liouville equation with boundary-transmission conditions. https://doi.org/10.31489/2024m3/126-136

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m3/126-136
Akses: Open Access ✓