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On Evolution of Invariant Riemannian MetricsRiemannian metric onGeneralized wallach space Generalized Wallach SpacesWallach space Under the Normalized Ricci FlowNormalized Ricci flow Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Regular Sturm-Liouville Operators with Integral Perturbation of Boundary Condition

Authors : Nurlan S. Imanbaev, Makhmud A. Sadybekov

Published in: Functional Analysis in Interdisciplinary Applications

Publisher: Springer International Publishing

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Abstract

We are studying the issue of stability and instability of the basis property of the system of eigenfunctions and associated functions of the Sturm-Liouville operator with an integral perturbation of one boundary condition. This paper is devoted to a spectral problem for operator with an integral perturbation of boundary conditions, which are regular, but not strongly regular. We assume that the unperturbed problem has system of normalized eigenfunctions and associated functions which forms a Riesz basis. We construct a characteristic determinant of the spectral problem with an integral perturbation of the boundary conditions. The present work is the continuation of authors’ researchers on stability (instability) of basis property of root vectors of a differential operator with nonlocal perturbation of one of boundary conditions. The work includes a more detailed exposition of some previous results of authors in this directive, and there are given new results.

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previous chapter Relatively Bounded Perturbations of Correct Restrictions and Extensions of Linear Operators
next chapter A Boundary Condition of the Volume Potential for Strongly Elliptic Differential Equations
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Metadata
Title
Regular Sturm-Liouville Operators with Integral Perturbation of Boundary Condition
Authors
Nurlan S. Imanbaev
Makhmud A. Sadybekov
Copyright Year
2017
Book
Functional Analysis in Interdisciplinary Applications

Print ISBN: 978-3-319-67052-2

Electronic ISBN: 978-3-319-67053-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-67053-9_21

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