Stikonas, ArturasŞen, Erdoğan2022-05-112022-05-1120211392-5113https://doi.org/10.15388/namc.2021.26.24299https://hdl.handle.net/20.500.11776/4723In 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.en10.15388/namc.2021.26.24299info:eu-repo/semantics/openAccessAsymptotics of eigenvalues and eigenfunctionsNonlocal integral conditionSturm–Liouville problemArticle265969991Q1WOS:0006923249000112-s2.0-85114518253Q2