Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2021 Lithuania, Turkey Publisher:Vilnius University PressJournal:Nonlinear Analysis: Modelling and Control, volume 26, pages 969-991 (issn: 1392-5113, eissn: 2335-8963,

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Authors: Artūras Štikonas; Erdoğan Şen;

doi: 10.15388/namc.2021.26.24299

handle: 20.500.11776/4723

Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

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Abstract

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

Countries

Lithuania, Turkey

Related Organizations

Vilnius University
Lithuania
Namık Kemal University
Turkey

Keywords

QA299.6-433, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Nonlocal integral condition, Sturm-Liouville problem, nonlocal integral condition, Sturm-Liouville theory, asymptotics of eigenvalues and eigenfunctions, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Asymptotics of eigenvalues and eigenfunctions, Nonlocal and multipoint boundary value problems for ordinary differential equations, Sturm–Liouville problem, Analysis

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