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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Wiley
1994-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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. |
format | Article |
id | doaj-art-add2dba12c3b473bb95b1adeb995ba8d |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1994-01-01 |
publisher | Wiley |
record_format | Article |
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 |