Oscillation in neutral equations with an ?integrally small? coefficient

Consider the neutral delay differential equationddt[x(t)-P(t)x(t-t)]+Q(t)x(t-d)=0,???t=t0(*)Where P, Q?C([t0,8],R+), t?(0,8) and d?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction ?t08Q(s)ds=8.

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Main Authors: J. S. Yu, Ming-Po Chen
Format: Article
Language:English
Published: Wiley 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294000505
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author J. S. Yu
Ming-Po Chen
author_facet J. S. Yu
Ming-Po Chen
author_sort J. S. Yu
collection DOAJ
description Consider the neutral delay differential equationddt[x(t)-P(t)x(t-t)]+Q(t)x(t-d)=0,???t=t0(*)Where P, Q?C([t0,8],R+), t?(0,8) and d?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction ?t08Q(s)ds=8.
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publishDate 1994-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-add2dba12c3b473bb95b1adeb995ba8d2025-02-03T01:31:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117236136810.1155/S0161171294000505Oscillation in neutral equations with an ?integrally small? coefficientJ. S. Yu0Ming-Po Chen1Department of Applied Mathematics, Hunan University, Hunan, Changsha 410082, ChinaInstitute of Mathematics, Academia Sinica, Taipei 11529, TaiwanConsider the neutral delay differential equationddt[x(t)-P(t)x(t-t)]+Q(t)x(t-d)=0,???t=t0(*)Where P, Q?C([t0,8],R+), t?(0,8) and d?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction ?t08Q(s)ds=8.http://dx.doi.org/10.1155/S0161171294000505neutral equations“integrally small” coefficientoscillation.
spellingShingle J. S. Yu
Ming-Po Chen
Oscillation in neutral equations with an ?integrally small? coefficient
International Journal of Mathematics and Mathematical Sciences
neutral equations
“integrally small” coefficient
oscillation.
title Oscillation in neutral equations with an ?integrally small? coefficient
title_full Oscillation in neutral equations with an ?integrally small? coefficient
title_fullStr Oscillation in neutral equations with an ?integrally small? coefficient
title_full_unstemmed Oscillation in neutral equations with an ?integrally small? coefficient
title_short Oscillation in neutral equations with an ?integrally small? coefficient
title_sort oscillation in neutral equations with an integrally small coefficient
topic neutral equations
“integrally small” coefficient
oscillation.
url http://dx.doi.org/10.1155/S0161171294000505
work_keys_str_mv AT jsyu oscillationinneutralequationswithanintegrallysmallcoefficient
AT mingpochen oscillationinneutralequationswithanintegrallysmallcoefficient