Araz R. Aliev, Nazila L. Muradova
Abstract:
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 Baku, Azerbaijan email: alievaraz@yahoo.com | |
Nazila L. Muradova Nakhchivan State University Nakhchivan, Azerbaijan email: nazilamuradova@gmail.com |
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