On the existence of positive solutions for systems of differential equations with a distributed delay

Leonid Berezansky; Elena Braverman

doi:10.1016/j.camwa.2011.12.057

On the existence of positive solutions for systems of differential equations with a distributed delay

Leonid Berezansky
, Elena Braverman

Department of Mathematics

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

3 Scopus citations

Abstract

For the system with a distributed delay Ẋ(t)+∑k= 1m∫ ^hk(t)t[ ^dsRk(t,s)]X(s)=0 sufficient conditions for positivity of the fundamental matrix are obtained. In the case when the fundamental matrix is positive, comparison results and sufficient positivity conditions for solutions are established.

Original language	English
Pages (from-to)	1256-1265
Number of pages	10
Journal	Computers and Mathematics with Applications
Volume	63
Issue number	7
DOIs	https://doi.org/10.1016/j.camwa.2011.12.057
State	Published - 1 Apr 2012

Keywords

Distributed delay
Linear systems
Nonoscillation
Positive solutions

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2011.12.057

Cite this

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title = "On the existence of positive solutions for systems of differential equations with a distributed delay",

abstract = "For the system with a distributed delay Ẋ(t)+∑k= 1m∫ hk(t)t[ dsRk(t,s)]X(s)=0 sufficient conditions for positivity of the fundamental matrix are obtained. In the case when the fundamental matrix is positive, comparison results and sufficient positivity conditions for solutions are established.",

keywords = "Distributed delay, Linear systems, Nonoscillation, Positive solutions",

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AU - Berezansky, Leonid

AU - Braverman, Elena

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N2 - For the system with a distributed delay Ẋ(t)+∑k= 1m∫ hk(t)t[ dsRk(t,s)]X(s)=0 sufficient conditions for positivity of the fundamental matrix are obtained. In the case when the fundamental matrix is positive, comparison results and sufficient positivity conditions for solutions are established.

AB - For the system with a distributed delay Ẋ(t)+∑k= 1m∫ hk(t)t[ dsRk(t,s)]X(s)=0 sufficient conditions for positivity of the fundamental matrix are obtained. In the case when the fundamental matrix is positive, comparison results and sufficient positivity conditions for solutions are established.

KW - Distributed delay

KW - Linear systems

KW - Nonoscillation

KW - Positive solutions

UR - https://www.scopus.com/pages/publications/84858155593

U2 - 10.1016/j.camwa.2011.12.057

DO - 10.1016/j.camwa.2011.12.057

M3 - Article

AN - SCOPUS:84858155593

SN - 0898-1221

VL - 63

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EP - 1265

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 7

ER -

On the existence of positive solutions for systems of differential equations with a distributed delay

Abstract

Keywords

ASJC Scopus subject areas

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