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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Hindawi Limited
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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doaj-add2dba12c3b473bb95b1adeb995ba8d2020-11-25T00:32:04ZengHindawi LimitedInternational 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. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
J. S. Yu Ming-Po Chen |
| 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. |
| author_facet |
J. S. Yu Ming-Po Chen |
| author_sort |
J. S. Yu |
| title |
Oscillation in neutral equations with an ?integrally small? coefficient |
| title_short |
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_sort |
oscillation in neutral equations with an ?integrally small? coefficient |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1994-01-01 |
| 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. |
| 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 |
| _version_ |
1725321085004546048 |