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

Mathematica Applicanda (1978)

- Volume: 6, Issue: 13
- ISSN: 1730-2668

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topTeresa 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 -

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