Approximation of eigenvalues for a class of differential problems on an infinite interval

Teresa Regińska. "Approximation of eigenvalues for a class of differential problems on an infinite interval." Mathematica Applicanda 6.13 (1978): null. <http://eudml.org/doc/292986>.

@article{TeresaRegińska1978,
abstract = {The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL=\{u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0\}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).The review of the paper is available at MR0518666.},
author = {Teresa Regińska},
journal = {Mathematica Applicanda},
keywords = {Spectral theory, Sturm-Liouville, and scattering theory; eigenfunctions, eigenvalues, and expansions; Eigenvalue problems},
language = {eng},
number = {13},
pages = {null},
title = {Approximation of eigenvalues for a class of differential problems on an infinite interval},
url = {http://eudml.org/doc/292986},
volume = {6},
year = {1978},
}

TY - JOUR
AU - Teresa Regińska
TI - Approximation of eigenvalues for a class of differential problems on an infinite interval
JO - Mathematica Applicanda
PY - 1978
VL - 6
IS - 13
SP - null
AB - The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).The review of the paper is available at MR0518666.
LA - eng
KW - Spectral theory, Sturm-Liouville, and scattering theory; eigenfunctions, eigenvalues, and expansions; Eigenvalue problems
UR - http://eudml.org/doc/292986
ER -