| Title |
Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition / |
| Authors |
Štikonas, Artūras ; Şen, Erdoğan |
| DOI |
10.15388/namc.2021.26.24299 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2021, vol. 26, no. 5, p. 969-991.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
Sturm–Liouville problem ; nonlocal integral condition ; asymptotics of eigenvalues and eigenfunctions |
| Abstract [eng] |
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. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
