On the solvability of initial boundary-value problems for a class of operator-differential equations of third order

DOI10.1134/S000143461109001XzbMath1311.34134OpenAlexW2023166446MaRDI QIDQ2435777

Araz R. Aliev

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461109001x

zbMATH Keywords

Fourier transformHilbert spaceBanach spaceself-adjoint operatoroperator-differential equationinitial boundary-value problempolynomial operator pencil

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items

ON SOLVABILITY CONDITIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF OPERATOR-DIFFERENTIAL EQUATIONS OF THE THIRD ORDER IN SOBOLEV TYPE SPACES, On solvability of third-order operator differential equation with parabolic principal part in weighted space, RESTORATION OF POLYNOMIAL COEFFICIENT IN THE DIFFERENTIAL EQUATION OF THE THIRD ORDER, Galerkin method for a third-order differential-operator equation, One projection method for linear third order equation

Cites Work

• Self\(adjoint\) quadratic operator pencils and elliptic problems
• Geometric structures of double bundles and their relation to certain problems in integral geometry
• Best approximation of linear operators
• Estimates of solutions of certain classes of second-order differential equations in a Hilbert space
• Properties of solutions of ordinary differential equations in banach space
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