Geodesic
Formally self-adjoint quasi-differential operators and boundary-value problems
Electronic journal of differential equations, Tome 2013 (2013)
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 
@article{EJDE_2013__2013__a4,
     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},
     year = {2013},
     volume = {2013},
     zbl = {1293.47043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a4/}
}
TY  - JOUR
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AU  - Pankrashkin,  Konstantin
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JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
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%A Goriunov,  Andrii
%A Mikhailets,  Vladimir
%A Pankrashkin,  Konstantin
%T Formally self-adjoint quasi-differential operators and boundary-value problems
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a4/
%G en
%F EJDE_2013__2013__a4
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/