Well-posedness of a boundary value problem for a class of third-order operator-differential equations

DOI10.1186/1687-2770-2013-140zbMath1297.34071OpenAlexW2140571212WikidataQ59300241 ScholiaQ59300241MaRDI QIDQ2251089

Araz R. Aliev, Ahmed L. Elbably

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-140

zbMATH Keywords

self-adjoint operatoroperator-differential equationmultiple characteristicfactorization of pencilsinter-mediate derivatives operatorsthe Sobolev-type spacewell-posed and unique solvability

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Groups and semigroups of linear operators (47D03) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)

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Cites Work

• On boundary value problem solvability theory for a class of high-order operator-differential equations
• Geometric structures of double bundles and their relation to certain problems in integral geometry
• Elliptic equations in Hilbert space and associated spectral problems
• STRONGLY DAMPED PENCILS OF OPERATORS AND SOLVABILITY OF THE CORRESPONDING OPERATOR-DIFFERENTIAL EQUATIONS
• Linear and nonlinear nonlocal boundary value problems for differential-operator equations