Asymptotic analysis of sturm-liouville problem with nonlocal integral-type boundary condition
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Vilnius University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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. © 2021 Authors. Published by Vilnius University Press.
Açıklama
Anahtar Kelimeler
Asymptotics of eigenvalues and eigenfunctions, Nonlocal integral condition, Sturm–Liouville problem
Kaynak
Nonlinear Analysis: Modelling and Control
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
26
Sayı
5
