Nonoscillation of First-Order Dynamic Equations with Several Delays

Nonoscillation of First-Order Dynamic Equations with Several Delays

<p/> <p>For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the fundamental function. Based o...

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Main Authors: Karpuz Ba&#351;ak, Braverman Elena
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2010/873459
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spelling doaj-70242b0496c84544b2aacce1a46041432020-11-25T01:37:58ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101873459Nonoscillation of First-Order Dynamic Equations with Several DelaysKarpuz Ba&#351;akBraverman Elena<p/> <p>For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the fundamental function. Based on this result, comparison tests are developed. The nonoscillation criterion is illustrated by examples which are neither delay-differential nor classical difference equations.</p> http://www.advancesindifferenceequations.com/content/2010/873459
collection DOAJ
language English
format Article
sources DOAJ
author Karpuz Ba&#351;ak
Braverman Elena
spellingShingle Karpuz Ba&#351;ak
Braverman Elena
Nonoscillation of First-Order Dynamic Equations with Several Delays
Advances in Difference Equations
author_facet Karpuz Ba&#351;ak
Braverman Elena
author_sort Karpuz Ba&#351;ak
title Nonoscillation of First-Order Dynamic Equations with Several Delays
title_short Nonoscillation of First-Order Dynamic Equations with Several Delays
title_full Nonoscillation of First-Order Dynamic Equations with Several Delays
title_fullStr Nonoscillation of First-Order Dynamic Equations with Several Delays
title_full_unstemmed Nonoscillation of First-Order Dynamic Equations with Several Delays
title_sort nonoscillation of first-order dynamic equations with several delays
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2010-01-01
description <p/> <p>For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the fundamental function. Based on this result, comparison tests are developed. The nonoscillation criterion is illustrated by examples which are neither delay-differential nor classical difference equations.</p>
url http://www.advancesindifferenceequations.com/content/2010/873459
work_keys_str_mv AT karpuzba351ak nonoscillationoffirstorderdynamicequationswithseveraldelays
AT bravermanelena nonoscillationoffirstorderdynamicequationswithseveraldelays
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