On non-self-adjoint Sturm-Liouville operators in the space of vector functions

DOI10.1134/S0001434614010192zbMath1320.34042arXiv1306.1473OpenAlexW1998629417MaRDI QIDQ2341972

Fulya Şeref, Oktay A. Veliev

Publication date: 8 May 2015

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

Full work available at URL: https://arxiv.org/abs/1306.1473

zbMATH Keywords

Riesz basisdifferential operatorsmatrix potential

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (4)

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 asymptotics of eigenvalues of a fourth-order differential operator with matrix coefficients ⋮ Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains

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• On the basis property of the root functions of differential operators with matrix coefficients
• Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients
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• Regular spectral problems in vector-function spaces
• On non-self-adjoint Sturm-Liouville operators with matrix potentials
• On Hill's operator with a matrix potential
• Large Eigenvalues and Trace Formulas for Matrix Sturm--Liouville Problems

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