ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS

Published:2023-03-21 Issue:2 Volume:28 Page:308-329
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Štikonas Artūras¹^ORCID,Şen Erdoğan²

Affiliation:

1. Institute of Applied Mathematics, Vilnius University, Naugarduko g. 24, LT-03225 Vilnius, Lithuania

2. Tekirdag Namik Kemal University, Kampus str. 1, TR-59030 Tekirdag, Turkey

Abstract

In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition. We analyze the characteristic equation of the boundary value problem for eigenvalues and derive asymptotic expansions of arbitrary order. We apply the obtained results to the problem with two-point nonlocal boundary condition.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference38 articles.

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5. INVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS