On the existence of eigenvalues of differential operators dependent on a parameter

Sh Strelitz; S. Abramovich

doi:10.1090/S0002-9947-1980-0558181-7

On the existence of eigenvalues of differential operators dependent on a parameter

Sh Strelitz, S. Abramovich

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we obtain results about the existence of eigenvalues for a system which depends polynomially on λ, (formula present) In order to get these results we prove that this system can be reduced to a standard system of the form (formula present).

Original language	English
Pages (from-to)	407-429
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	258
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1980-0558181-7
State	Published - Apr 1980

Keywords

Algebraic functions
Asymptotic expansion
Eigenvalues
Order of entire functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1980-0558181-7

Cite this

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title = "On the existence of eigenvalues of differential operators dependent on a parameter",

abstract = "In this paper we obtain results about the existence of eigenvalues for a system which depends polynomially on λ, (formula present) In order to get these results we prove that this system can be reduced to a standard system of the form (formula present).",

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KW - Asymptotic expansion

KW - Eigenvalues

KW - Order of entire functions

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On the existence of eigenvalues of differential operators dependent on a parameter

Abstract

Keywords

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