On non-self-adjoint Sturm-Liouville operators with matrix potentials

DOI10.1134/S0001434607030200zbMath1153.34018OpenAlexW2058591220MaRDI QIDQ2473724

Oktay A. Veliev

Publication date: 4 March 2008

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

Full work available at URL: https://doi.org/10.1134/s0001434607030200

zbMATH Keywords

Sturm-Liouville operatorsnon-self-adjoint operatorsquasi-periodic boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (10)

On the spectral properties of a second-order differential operator with a matrix potential ⋮ The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ On the bands of the Schrödinger operator with a matrix potential ⋮ Spectral estimates for the fourth-order operator with matrix coefficients ⋮ On sharp asymptotic formulas for the Sturm-Liouville operator with a matrix potential ⋮ On the Schrödinger operator with a periodic PT-symmetric matrix potential ⋮ On the asymptotics of eigenvalues of a fourth-order differential operator with matrix coefficients ⋮ Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions ⋮ Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains ⋮ On non-self-adjoint Sturm-Liouville operators in the space of vector functions

Cites Work

• Regular spectral problems in vector-function spaces
• Large Eigenvalues and Trace Formulas for Matrix Sturm--Liouville Problems
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