Positive solutions of nonautonomous linear higher order difference equations

M. I. Gil'

doi:10.1080/00036810500138540

Positive solutions of nonautonomous linear higher order difference equations

M. I. Gil'

Department of Mathematics

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

3 Scopus citations

Abstract

We consider the scalar difference equation (Formula presented.) with real coefficients a _jk , such that (Formula presented.) It is proved that the considered equation has n linearly independent positive solutions, provided all the roots of the polynomial (Formula presented.) are nonnegative. Moreover, lower solution estimates are established.

Original language	English
Pages (from-to)	701-706
Number of pages	6
Journal	Applicable Analysis
Volume	84
Issue number	7
DOIs	https://doi.org/10.1080/00036810500138540
State	Published - 1 Jan 2005

Keywords

39A11
AMS Subject Classification
Linear difference equations
Positive solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036810500138540

Cite this

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title = "Positive solutions of nonautonomous linear higher order difference equations",

abstract = " We consider the scalar difference equation (Formula presented.) with real coefficients a jk , such that (Formula presented.) It is proved that the considered equation has n linearly independent positive solutions, provided all the roots of the polynomial (Formula presented.) are nonnegative. Moreover, lower solution estimates are established.",

keywords = "39A11, AMS Subject Classification, Linear difference equations, Positive solutions",

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year = "2005",

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language = "English",

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PY - 2005/1/1

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N2 - We consider the scalar difference equation (Formula presented.) with real coefficients a jk , such that (Formula presented.) It is proved that the considered equation has n linearly independent positive solutions, provided all the roots of the polynomial (Formula presented.) are nonnegative. Moreover, lower solution estimates are established.

AB - We consider the scalar difference equation (Formula presented.) with real coefficients a jk , such that (Formula presented.) It is proved that the considered equation has n linearly independent positive solutions, provided all the roots of the polynomial (Formula presented.) are nonnegative. Moreover, lower solution estimates are established.

KW - 39A11

KW - AMS Subject Classification

KW - Linear difference equations

KW - Positive solutions

UR - http://www.scopus.com/inward/record.url?scp=34547870900&partnerID=8YFLogxK

U2 - 10.1080/00036810500138540

DO - 10.1080/00036810500138540

M3 - Article

AN - SCOPUS:34547870900

SN - 0003-6811

VL - 84

SP - 701

EP - 706

JO - Applicable Analysis

JF - Applicable Analysis

IS - 7

ER -

Positive solutions of nonautonomous linear higher order difference equations

Abstract

Keywords

ASJC Scopus subject areas

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