Geodesic
Third-order operator-differential equations with discontinuous coefficients and operators in the boundary conditions
Electronic journal of differential equations, Tome 2013 (2013)
We study a third-order operator-differential equation on the semi-axis with a discontinuous coefficient and boundary conditions which include an abstract linear operator. Sufficient conditions for the well-posed and unique solvability are found by means of properties of the operator coefficients in a Sobolev-type space.
Classification : 47E05, 34B40, 34G10
Keywords: operator-differential equation, discontinuous coefficient, operator-valued boundary condition, self-adjoint operator, regular solvability, Sobolev-type space, intermediate derivative operators 
@article{EJDE_2013__2013__a86,
     author = {Aliev,  Araz R. and Muradova,  Nazila L.},
     title = {Third-order operator-differential equations with discontinuous coefficients and operators in the boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1285.47047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a86/}
}
TY  - JOUR
AU  - Aliev,  Araz R.
AU  - Muradova,  Nazila L.
TI  - Third-order operator-differential equations with discontinuous coefficients and operators in the boundary conditions
JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a86/
LA  - en
ID  - EJDE_2013__2013__a86
ER  - 
%0 Journal Article
%A Aliev,  Araz R.
%A Muradova,  Nazila L.
%T Third-order operator-differential equations with discontinuous coefficients and operators in the boundary conditions
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a86/
%G en
%F EJDE_2013__2013__a86
Aliev,  Araz R.; Muradova,  Nazila L. Third-order operator-differential equations with discontinuous coefficients and operators in the boundary conditions. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a86/