On linear equations with general polynomial solutions

A. Laradji

doi:10.1016/j.jde.2018.01.002

On linear equations with general polynomial solutions

A. Laradji

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

Abstract

We provide necessary and sufficient conditions for which an nth-order linear differential equation has a general polynomial solution. We also give necessary conditions that can directly be ascertained from the coefficient functions of the equation.

Original language	English
Pages (from-to)	5480-5488
Number of pages	9
Journal	Journal of Differential Equations
Volume	264
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2018.01.002
State	Published - 15 Apr 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2018.01.002

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title = "On linear equations with general polynomial solutions",

abstract = "We provide necessary and sufficient conditions for which an nth-order linear differential equation has a general polynomial solution. We also give necessary conditions that can directly be ascertained from the coefficient functions of the equation.",

author = "A. Laradji",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

month = apr,

day = "15",

doi = "10.1016/j.jde.2018.01.002",

language = "English",

volume = "264",

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N2 - We provide necessary and sufficient conditions for which an nth-order linear differential equation has a general polynomial solution. We also give necessary conditions that can directly be ascertained from the coefficient functions of the equation.

AB - We provide necessary and sufficient conditions for which an nth-order linear differential equation has a general polynomial solution. We also give necessary conditions that can directly be ascertained from the coefficient functions of the equation.

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DO - 10.1016/j.jde.2018.01.002

M3 - Article

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SN - 0022-0396

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EP - 5488

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 8

ER -

On linear equations with general polynomial solutions

Abstract

Bibliographical note

ASJC Scopus subject areas

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