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

In a separable Hilbert space , we study the asymptotic behavior of eigenvalues of a boundary value problem for second-order elliptic differential–operator equations for the case in which the spectral parameter occurs in the equation quadratically and one of the boundary conditions is a quadratic tri...

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Vydané v:Differential equations Ročník 56; číslo 2; s. 190 - 198
Hlavní autori: Aliev, B. A., Kerimov, V. Z.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Moscow Pleiades Publishing 01.02.2020
Springer
Springer Nature B.V
Predmet:
Asymptotic properties
Boundary conditions
Boundary value problems
Difference and Functional Equations
Differential equations
Eigenvalues
Elliptic functions
Hilbert space
Mathematics
Mathematics and Statistics
Operators (mathematics)
Ordinary Differential Equations
Parameters
Partial Differential Equations
Spectra
ISSN:0012-2661, 1608-3083
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Popis
Shrnutí:In a separable Hilbert space , we study the asymptotic behavior of eigenvalues of a boundary value problem for second-order elliptic differential–operator equations for the case in which the spectral parameter occurs in the equation quadratically and one of the boundary conditions is a quadratic trinomial in the same spectral parameter. We derive asymptotic formulas for the eigenvalues of this boundary value problem. An application of the abstract results obtained here to elliptic boundary value problems is indicated.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266120020056