Nonoscillation of linear delay difference equations with positive and negative coefficients

Leonid Berezansky; Elena Braverman; Oksana Kravets

doi:10.1080/10236190701692273

Nonoscillation of linear delay difference equations with positive and negative coefficients

Leonid Berezansky, Elena Braverman, Oksana Kravets

Department of Mathematics

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

5 Scopus citations

Abstract

We study existence of nonoscillatory solutions and positiveness of the fundamental function for a scalar linear difference equation with several delays:[image omitted] where al can be either positive or negative. Coefficients of arbitrary signs are also considered.

Original language	English
Pages (from-to)	495-511
Number of pages	17
Journal	Journal of Difference Equations and Applications
Volume	14
Issue number	5
DOIs	https://doi.org/10.1080/10236190701692273
State	Published - 1 May 2008

Keywords

Comparison theorems
Linear difference equations
Nonoscillation
Positive and negative coefficients

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236190701692273

Cite this

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title = "Nonoscillation of linear delay difference equations with positive and negative coefficients",

abstract = "We study existence of nonoscillatory solutions and positiveness of the fundamental function for a scalar linear difference equation with several delays:[image omitted] where al can be either positive or negative. Coefficients of arbitrary signs are also considered.",

keywords = "Comparison theorems, Linear difference equations, Nonoscillation, Positive and negative coefficients",

author = "Leonid Berezansky and Elena Braverman and Oksana Kravets",

note = "Funding Information: 1. Partially supported by Israeli Ministry of Absorption. 2. Partially supported by the NSERC Research Grant.",

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AU - Berezansky, Leonid

AU - Braverman, Elena

AU - Kravets, Oksana

N1 - Funding Information: 1. Partially supported by Israeli Ministry of Absorption. 2. Partially supported by the NSERC Research Grant.

PY - 2008/5/1

Y1 - 2008/5/1

N2 - We study existence of nonoscillatory solutions and positiveness of the fundamental function for a scalar linear difference equation with several delays:[image omitted] where al can be either positive or negative. Coefficients of arbitrary signs are also considered.

AB - We study existence of nonoscillatory solutions and positiveness of the fundamental function for a scalar linear difference equation with several delays:[image omitted] where al can be either positive or negative. Coefficients of arbitrary signs are also considered.

KW - Comparison theorems

KW - Linear difference equations

KW - Nonoscillation

KW - Positive and negative coefficients

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U2 - 10.1080/10236190701692273

DO - 10.1080/10236190701692273

M3 - Article

AN - SCOPUS:42949153291

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JO - Journal of Difference Equations and Applications

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ER -

Nonoscillation of linear delay difference equations with positive and negative coefficients

Abstract

Keywords

ASJC Scopus subject areas

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