Geodesic
Third-order operator-differential equations with discontinuous coefficients and operators in the boundary conditions
Electronic Journal of Differential Equations, Tome 2013 (2013).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a86/}
}
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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/