Geodesic
Approximation of eigenvalues for a class of differential problems on an infinite interval
Mathematica Applicanda, Tome 6 (1978) no. 13, pp. 127-134.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/ma.v6i13.1425
Classification : 34B25(65L15)
Mots-clés : Spectral theory, Sturm-Liouville, and scattering theory, eigenfunctions, eigenvalues, and expansions;Eigenvalue problems 
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     title = {Approximation of eigenvalues for a class of differential problems on an infinite interval},
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Teresa Regińska. Approximation of eigenvalues for a class of differential problems on an infinite interval. Mathematica Applicanda, Tome 6 (1978) no. 13, pp.  127-134. doi : 10.14708/ma.v6i13.1425. http://geodesic.mathdoc.fr/articles/10.14708/ma.v6i13.1425/

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