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
Pages
11
From page
24
To page
34
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
Serial Year
2021
Full Text URL
Record number
2612105
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