Geodesic
Regularized trace of the Sturm-Liouville operator with irregular boundary conditions
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the spectral problem for the Sturm-Liouville equation with a complex-valued potential $q(x)$ and with irregular boundary conditions on the interval $(0,\pi)$. We establish a formula for the first regularized trace of the this operator.
Classification : 34L05, 34B24
Keywords: Sturm-Liouville operator, eigenvalue problem, spectrum 
@article{EJDE_2009__2009__a98,
     author = {Makin, Alexander},
     title = {Regularized trace of the {Sturm-Liouville} operator with irregular boundary conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a98/}
}
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Makin, Alexander. Regularized trace of the Sturm-Liouville operator with irregular boundary conditions. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a98/