Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential-Operator Equation with Spectral Parameter Quadratically Occurring in the Boundary Condition

The asymptotic behavior of eigenvalues of a boundary value problem for a secondorder differential-operator equation in a separable Hilbert space on a finite interval is studied for the case in which the same spectral parameter occurs linearly in the equation and quadratically in one of the boundary...

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Bibliographic Details
Published in:Differential equations Vol. 54; no. 9; pp. 1256 - 1260
Main Author: Aliev, B. A.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.09.2018
Springer
Springer Nature B.V
Subjects:
Asymptotic properties
Boundary conditions
Boundary value problems
Difference and Functional Equations
Differential equations
Economic models
Eigenvalues
Hilbert space
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Parameters
Partial Differential Equations
Short Communications
ISSN:0012-2661, 1608-3083
Online Access:Get full text
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Summary:The asymptotic behavior of eigenvalues of a boundary value problem for a secondorder differential-operator equation in a separable Hilbert space on a finite interval is studied for the case in which the same spectral parameter occurs linearly in the equation and quadratically in one of the boundary conditions. We prove that the problem has a sequence of eigenvalues converging to zero.
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content type line 14
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266118090124