Asymptotic properties of boundary-value problem with transmission conditions
O. Sh. Mukhtarov, K. Aydemir
TL;DR
This paper investigates the asymptotic approximation properties of a new class of discontinuous boundary-value problems involving Sturm-Liouville equations with eigenparameter-dependent conditions, using a novel technique.
Contribution
It introduces a new method for analyzing the asymptotic behavior of boundary-value problems with transmission conditions and eigenparameter dependence.
Findings
Derived asymptotic formulas for eigenvalues and eigenfunctions.
Established the effectiveness of the new technique for discontinuous problems.
Extended classical Sturm-Liouville theory to problems with transmission conditions.
Abstract
In this study by applying an own technique we investigate some asymptotic approximation properties of new type discontinuous boundary-value problems, which consists of a Sturm-Liouville equation together with eigenparameter-dependent boundary and transmission conditions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems