Estimates of Root Functions of the Adjoint of a Second-Order Differential Operator with Integral Boundary Conditions

We consider a second-order differential operator on an interval of the real line with integral boundary conditions and the adjoint of this operator. We obtain a priori estimates of the eigenfunctions and associated functions of the adjoint operator.

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Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2018-05, Vol.54 (5), p.596-607
1. Verfasser:	Lomov, I. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Difference and Functional Equations Differential equations Eigenvectors Integrals Mathematics Mathematics and Statistics Operators (mathematics) Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We consider a second-order differential operator on an interval of the real line with integral boundary conditions and the adjoint of this operator. We obtain a priori estimates of the eigenfunctions and associated functions of the adjoint operator.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S001226611805004X