Fliess series approach to the computation of the eigenvalues of fourth-order Sturm-Liouville problems

B. Chanane

doi:10.1016/S0893-9659(01)00159-8

Fliess series approach to the computation of the eigenvalues of fourth-order Sturm-Liouville problems

B. Chanane^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

12 Scopus citations

Abstract

This paper is an extension to our work on the computation of the eigenvalues of regular fourth-order Sturm-Liouville problems using Fliess series. The purpose here is twofold. First, we consider general self-adjoint separated boundary conditions. Second, we modify the algorithm presented in an earlier paper to ease considerably the computation of the iterated integrals involved.

Original language	English
Pages (from-to)	459-463
Number of pages	5
Journal	Applied Mathematics Letters
Volume	15
Issue number	4
DOIs	https://doi.org/10.1016/S0893-9659(01)00159-8
State	Published - May 2002

Keywords

Eigenvalue problems
Fliess Series
Fourth-order Sturm-Liouville problems
Iterated integrals

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(01)00159-8

Cite this

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title = "Fliess series approach to the computation of the eigenvalues of fourth-order Sturm-Liouville problems",

abstract = "This paper is an extension to our work on the computation of the eigenvalues of regular fourth-order Sturm-Liouville problems using Fliess series. The purpose here is twofold. First, we consider general self-adjoint separated boundary conditions. Second, we modify the algorithm presented in an earlier paper to ease considerably the computation of the iterated integrals involved.",

keywords = "Eigenvalue problems, Fliess Series, Fourth-order Sturm-Liouville problems, Iterated integrals",

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AB - This paper is an extension to our work on the computation of the eigenvalues of regular fourth-order Sturm-Liouville problems using Fliess series. The purpose here is twofold. First, we consider general self-adjoint separated boundary conditions. Second, we modify the algorithm presented in an earlier paper to ease considerably the computation of the iterated integrals involved.

KW - Eigenvalue problems

KW - Fliess Series

KW - Fourth-order Sturm-Liouville problems

KW - Iterated integrals

UR - https://www.scopus.com/pages/publications/31244435373

U2 - 10.1016/S0893-9659(01)00159-8

DO - 10.1016/S0893-9659(01)00159-8

M3 - Article

AN - SCOPUS:31244435373

SN - 0893-9659

VL - 15

SP - 459

EP - 463

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

ER -

Fliess series approach to the computation of the eigenvalues of fourth-order Sturm-Liouville problems

Abstract

Keywords

ASJC Scopus subject areas

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