Araz R. Aliev, Nazila L. Muradova
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.
Submitted June 7, 2013. Published October 4, 2013.
Math Subject Classifications: 47E05, 34B40, 34G10.
Key Words: Operator-differential equation; discontinuous coefficient; operator-valued boundary condition; self-adjoint operator; regular solvability; Sobolev-type space; intermediate derivative operators.
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| Araz R. Aliev |
Baku State University
Institute of Mathematics and Mechanics of NAS of Azerbaijan
| Nazila L. Muradova|
Nakhchivan State University
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