Description of generalized resolvents and characteristic matrices of differential operators in terms of the boundary parameter

DOI10.1134/S0001434611090252zbMath1281.47030MaRDI QIDQ2435804

Vadim Mogilevskii

Publication date: 20 February 2014

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

zbMATH Keywords

Nevanlinna functionboundary-value problemself-adjoint operatorholomorphic functionWeyl functiondeficiency indexgeneralized resolventminimal operatorboundary triplecharacteristic matrixdifferential operator of even order

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)

Related Items (3)

Minimal spectral functions of an ordinary differential operator ⋮ Weyl families of transformed boundary pairs ⋮ On the similarity of boundary triples of symmetric operators in Krein spaces

Cites Work

• Boundary relations and generalized resolvents of symmetric operators
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Characteristic functions of almost solvable extensions of Hermitian operators
• On generalized resolvents and spectral functions of differential operators of even order in a space of vector-valued functions
• Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions
• STURM–LIOUVILLE PROBLEMS WITH BOUNDARY CONDITIONS RATIONALLY DEPENDENT ON THE EIGENPARAMETER. I
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