Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 219, pp. 1-13.

Title: Third-order operator-differential equations with discontinuous coefficients
       and operators in the boundary conditions

Authors: Araz R. Aliev (Baku State Univ., Baku, Azerbaijan)
         Nazila L. Muradova (Nakhchivan State Univ., Nakhchivan, Azerbaijan)

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 04, 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.