Asymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions
Yükleniyor...
Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one-dimensional Sturm-Liouville equation with one classical Neumann-type boundary condition and a two-point nonlocal boundary condition. We investigate solutions of special initial value problem and find their asymptotic expansions of any order. 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.
Açıklama
Anahtar Kelimeler
Sturm-Liouville problem, Neumann condition, two-point nonlocal conditions, asymptotics of eigenvalues and eigenfunctions, Spectrum, Eigenfunctions, Eigenvalues, Operator
Kaynak
Lithuanian Mathematical Journal
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
62
Sayı
4
