Oscillation in neutral partial functional differential equations and inequalities
We derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions. These, together with the technique of spatial average, the Green's Theorem and Jensen's inequality, y...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
1998-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10 |
| _version_ | 1797830817957806080 |
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| author | X. Fu Jianhong Wu |
| author_facet | X. Fu Jianhong Wu |
| author_sort | X. Fu |
| collection | DOAJ |
| description | We derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions. These, together with the technique of spatial average, the Green's Theorem and Jensen's inequality, yield some sufficient conditions for all solutions of a class of neutral partial functional differential equations to be oscillatory. An example is given to illustrate the result. |
| first_indexed | 2024-04-09T13:42:10Z |
| format | Article |
| id | doaj.art-f520500c49574ad8a90f76dddf01a21a |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:42:10Z |
| publishDate | 1998-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f520500c49574ad8a90f76dddf01a21a2023-05-09T07:52:56ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751998-01-011998511410.14232/ejqtde.1998.1.510Oscillation in neutral partial functional differential equations and inequalitiesX. Fu0Jianhong Wu1Shandong Normal University, Jinan, P. R. ChinaYork University, Toronto, ON, CanadaWe derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions. These, together with the technique of spatial average, the Green's Theorem and Jensen's inequality, yield some sufficient conditions for all solutions of a class of neutral partial functional differential equations to be oscillatory. An example is given to illustrate the result.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10 |
| spellingShingle | X. Fu Jianhong Wu Oscillation in neutral partial functional differential equations and inequalities Electronic Journal of Qualitative Theory of Differential Equations |
| title | Oscillation in neutral partial functional differential equations and inequalities |
| title_full | Oscillation in neutral partial functional differential equations and inequalities |
| title_fullStr | Oscillation in neutral partial functional differential equations and inequalities |
| title_full_unstemmed | Oscillation in neutral partial functional differential equations and inequalities |
| title_short | Oscillation in neutral partial functional differential equations and inequalities |
| title_sort | oscillation in neutral partial functional differential equations and inequalities |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10 |
| work_keys_str_mv | AT xfu oscillationinneutralpartialfunctionaldifferentialequationsandinequalities AT jianhongwu oscillationinneutralpartialfunctionaldifferentialequationsandinequalities |