On n-fold expansions for ordinary differential operators

M. Faierman; A. Markus; V. Matsaev; M. Möller

doi:10.1002/1522-2616(200205)238:1<62::AID-MANA62>3.0.CO;2-Y

On n-fold expansions for ordinary differential operators

M. Faierman
, A. Markus
, V. Matsaev
, M. Möller

Department of Mathematics

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

1 Scopus citations

Abstract

Given an m-th order ordinary linear differential operator which is a polynomial of degree n in the eigenvalue parameter λ, we investigate n-fold expansions in terms of eigen- and associated functions of the differential operator. There are no a-priori restrictions on the positive integers n and m.

Original language	English
Pages (from-to)	62-77
Number of pages	16
Journal	Mathematische Nachrichten
Volume	238
DOIs	https://doi.org/10.1002/1522-2616(200205)238:1<62::AID-MANA62>3.0.CO;2-Y
State	Published - 23 Aug 2002

Keywords

Domains of fractional power
Self-adjoint boundary conditions
Strongly regular boundary conditions
n-fold expansion

ASJC Scopus subject areas

General Mathematics

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10.1002/1522-2616(200205)238:1<62::AID-MANA62>3.0.CO;2-Y

Cite this

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title = "On n-fold expansions for ordinary differential operators",

abstract = "Given an m-th order ordinary linear differential operator which is a polynomial of degree n in the eigenvalue parameter λ, we investigate n-fold expansions in terms of eigen- and associated functions of the differential operator. There are no a-priori restrictions on the positive integers n and m.",

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AU - Faierman, M.

AU - Markus, A.

AU - Matsaev, V.

AU - Möller, M.

PY - 2002/8/23

Y1 - 2002/8/23

N2 - Given an m-th order ordinary linear differential operator which is a polynomial of degree n in the eigenvalue parameter λ, we investigate n-fold expansions in terms of eigen- and associated functions of the differential operator. There are no a-priori restrictions on the positive integers n and m.

AB - Given an m-th order ordinary linear differential operator which is a polynomial of degree n in the eigenvalue parameter λ, we investigate n-fold expansions in terms of eigen- and associated functions of the differential operator. There are no a-priori restrictions on the positive integers n and m.

KW - Domains of fractional power

KW - Self-adjoint boundary conditions

KW - Strongly regular boundary conditions

KW - n-fold expansion

UR - https://www.scopus.com/pages/publications/0036346005

U2 - 10.1002/1522-2616(200205)238:1<62::AID-MANA62>3.0.CO;2-Y

DO - 10.1002/1522-2616(200205)238:1<62::AID-MANA62>3.0.CO;2-Y

M3 - Article

AN - SCOPUS:0036346005

SN - 0025-584X

VL - 238

SP - 62

EP - 77

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

On n-fold expansions for ordinary differential operators

Abstract

Keywords

ASJC Scopus subject areas

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