Geodesic
Normal extensions of a singular multipoint differential operator of first order
Electronic Journal of Differential Equations, Tome 2012 (2012).

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

Summary: In this work, we describe all normal extensions of the minimal operator generated by linear singular multipoint formally normal differential expression $$ L_2(H,(-\infty ,a_1))\oplus L_2(H,(a_2,b_2)) \oplus L_2(H,(a_3,+\infty)) $$ where $-\infty $. Also, we study the structure of the spectrum of these extensions.
Classification : 47A10, 47A20
Keywords: multipoint differential operators, selfadjoint and normal extension, spectrum 
@article{EJDE_2012__2012__a84,
     author = {Ismailov, Zameddin I. and Mert, Rukiye Ozturk},
     title = {Normal extensions of a singular multipoint differential operator of first order},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a84/}
}
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Ismailov, Zameddin I.; Mert, Rukiye Ozturk. Normal extensions of a singular multipoint differential operator of first order. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a84/