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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| Published in: | Differential equations Vol. 56; no. 2; pp. 190 - 198 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Moscow
Pleiades Publishing
01.02.2020
Springer Springer Nature B.V |
| Subjects: | |
| ISSN: | 0012-2661, 1608-3083 |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0012-2661 1608-3083 |
| DOI: | 10.1134/S0012266120020056 |