Geodesic
Formally self-adjoint quasi-differential operators and boundary-value problems
Electronic Journal of Differential Equations, Tome 2013 (2013).

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

Summary: We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval. The technique is then used to describe all maximal dissipative, accumulative and self-adjoint extensions of the associated minimal operator and its generalized resolvents in terms of the boundary conditions. Some specific classes are considered in greater detail.
Classification : 34B05, 34L40, 47N20, 34B37
Keywords: quasi-differential operator, distributional coefficients, self-adjoint extension, maximal dissipative extension, generalized resolvent 
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     author = {Goriunov, Andrii and Mikhailets, Vladimir and Pankrashkin, Konstantin},
     title = {Formally self-adjoint quasi-differential operators and boundary-value problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a4/}
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Goriunov, Andrii; Mikhailets, Vladimir; Pankrashkin, Konstantin. Formally self-adjoint quasi-differential operators and boundary-value problems. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a4/