This article is cited in 5 papers

On the boundary value problem with the operator in boundary conditions for the operator-differential equation of the third order

A. R. Aliev^ab, S. F. Babayeva<sup>c

a</sup> Baku State University, 23, Z. Khalilov Str., AZ1148, Baku, Azerbaijan
^b Institute of Mathematics and Mechanics of NAS of Azerbaijan, 9, F. Agayev Str., AZ1141, Baku, Azerbaijan
^c Institute of Cybernetics of NAS of Azerbaijan, 9, F. Agayev Str., Baku, AZ 1141, Azerbaijan

Abstract: A boundary value problem for a class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some linear operator, is studied. There are obtained sufficient conditions on the operator coefficients of the considered boundary value problem providing its correct and univalent resolvability in Sobolev type space.

Key words and phrases: boundary value problem, operator-differential equation, Hilbert space, self-adjoint operator, regular solvability.

MSC: 34B40, 35J40, 47D03

Received: 27.02.2009

Language: English

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