Extension theory for symmetric operators and boundary value problems for differential equations

DOI10.1007/BF01057246zbMath0706.47001OpenAlexW2059821806MaRDI QIDQ919243

M. L. Gorbachuk, V. I. Gorbachuk, Anatoly N. Kochubei

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01057246

zbMATH Keywords

boundary value problems for differential equationsextensions of symmetric operators

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Extensions of symmetric second-order difference operators with matrix coefficients, Theory of self-adjoint extensions of symmetric operators. Entire operators and boundary-value problems, Dissipative discrete Hamiltonian systems, Conservative boundary control systems, On extensions of matrix-valued Hahn–Sturm–Liouville operators, On extensions of singular fourth order dynamic operators on time scales, Junctions of singularly degenerating domains with different limit dimensions, On the theory of \(\mathcal{PT}\)-symmetric operators, Extensions of the matrix-valued q−Sturm–Liouville operators, Functional model and spectral analysis of discrete singular Hamiltonian system, Spectral analysis of singular matrix-valued Sturm-Liouville operators, On a class of \(J\)-self-adjoint operators with empty resolvent set, Boundary properties of solutions of differential equations and general boundary-value problems, Characteristic functions of almost solvable extensions of Hermitian operators, Unnamed Item, Extensions, dilations and functional models of singular Sturm-Liouville operators, Extensions and spectral problems of 1D discrete Hamiltonian systems

Cites Work

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• On the existence of J-selfadjoint extensions of J-symmetric operators with adjoint
• Abstract Symmetric Boundary Conditions
• Operators satisfying smoothness conditions
• Perturbations of self-adjoint operators by singular bilinear forms
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