Title of article :
On regular solvability of a boundary value problem for a fourth order operator differential equation on a finite segment
Author/Authors :
Aslanov, Hamidulla I. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Eyvazly, Gunel M. Sumqayit State University, Sumqayit, Azerbaijan
Abstract :
The paper is devoted to the study a regular solvability of some boundary value problems for a
fourth order operator-differential equations on a finite segment. Using the theorem on the estimations of
inter mediate derivatives, sufficient conditions for regular solvability of the given problem are obtained.
Sufficient conditions for regular solvability of a boundary value problem are expressed by means of the
norms of the operators of intermediate derivatives.
Keywords :
Operator , operator-differential equations , boundary conditions , regular solvability , Fredholm solvability , · Sobolev space , Hilbert space , norm , scalar product , self-adjoint operators , vector-function , isomorphism
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
