On spectral properties of a Sturm-Liouville problem with transmission conditions and eigenparameter dependent boundary conditions with retarded argument

2013/06/26 by Serkan Aracı, Serkan Araci, Araci, Serkan +7
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory in Mathematical Physics #math.CA

paper · pdf · doi:10.48550/arxiv.1307.0365

arxiv created 2013/06/26 · openalex publication_date 2013/06/26 · arxiv updated 2013/07/02 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this work, we consider not only a discontinuous boundary-value problem with retarded argument and four supplementary transmission conditions at the two points of discontinuities but also, eigenparameter-dependent boundary conditions and obtain asymptotic formulas for the eigenvalues and corresponding eigenfunctions.

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• Boundary value problem with transmission conditions
• Expansion Theorem for Sturm-Liouville problems transmission conditions
• Asymptotic properties of eigenvalues and eigenfunctions of a Sturm-Liouville problem with discontinuous weight function
• Asymptotic expressions of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary conditon