On the Oscillation of the Generalized Food-Limited Equations with Delay
The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay differential equation and then to a scalar dela...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Syiah Kuala University
2012-12-01
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| Series: | Aceh International Journal of Science and Technology |
| Subjects: | |
| Online Access: | http://jurnal.unsyiah.ac.id/AIJST/article/view/132/125 |
| _version_ | 1818361396702740480 |
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| author | Bamaina M. Muhammad Yusuf Haruna Bala M. Abdulhamid |
| author_facet | Bamaina M. Muhammad Yusuf Haruna Bala M. Abdulhamid |
| author_sort | Bamaina M. Muhammad |
| collection | DOAJ |
| description | The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay differential equation and then to a scalar delay differential equation and using the property of the scalar delay differential equation to obtain our result. Similarly we establish conditions for the oscillation of all solutions of the foodlimited equation with several delays by transforming the equation to a scalar differential equation to obtain the oscillatory property |
| first_indexed | 2024-12-13T21:16:01Z |
| format | Article |
| id | doaj.art-ec2edfe6e9214dc38e4c1a652ca9adaf |
| institution | Directory Open Access Journal |
| issn | 2088-9860 |
| language | English |
| last_indexed | 2024-12-13T21:16:01Z |
| publishDate | 2012-12-01 |
| publisher | Syiah Kuala University |
| record_format | Article |
| series | Aceh International Journal of Science and Technology |
| spelling | doaj.art-ec2edfe6e9214dc38e4c1a652ca9adaf2022-12-21T23:31:15ZengSyiah Kuala UniversityAceh International Journal of Science and Technology2088-98602012-12-01136772On the Oscillation of the Generalized Food-Limited Equations with DelayBamaina M. MuhammadYusuf HarunaBala M. AbdulhamidThe objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay differential equation and then to a scalar delay differential equation and using the property of the scalar delay differential equation to obtain our result. Similarly we establish conditions for the oscillation of all solutions of the foodlimited equation with several delays by transforming the equation to a scalar differential equation to obtain the oscillatory propertyhttp://jurnal.unsyiah.ac.id/AIJST/article/view/132/125Autonomous systemnon-autonomous systemdelay differential equationsLébesque measurable functionsseveral delaysnon-Oscillation |
| spellingShingle | Bamaina M. Muhammad Yusuf Haruna Bala M. Abdulhamid On the Oscillation of the Generalized Food-Limited Equations with Delay Aceh International Journal of Science and Technology Autonomous system non-autonomous system delay differential equations Lébesque measurable functions several delays non-Oscillation |
| title | On the Oscillation of the Generalized Food-Limited Equations with Delay |
| title_full | On the Oscillation of the Generalized Food-Limited Equations with Delay |
| title_fullStr | On the Oscillation of the Generalized Food-Limited Equations with Delay |
| title_full_unstemmed | On the Oscillation of the Generalized Food-Limited Equations with Delay |
| title_short | On the Oscillation of the Generalized Food-Limited Equations with Delay |
| title_sort | on the oscillation of the generalized food limited equations with delay |
| topic | Autonomous system non-autonomous system delay differential equations Lébesque measurable functions several delays non-Oscillation |
| url | http://jurnal.unsyiah.ac.id/AIJST/article/view/132/125 |
| work_keys_str_mv | AT bamainammuhammad ontheoscillationofthegeneralizedfoodlimitedequationswithdelay AT yusufharuna ontheoscillationofthegeneralizedfoodlimitedequationswithdelay AT balamabdulhamid ontheoscillationofthegeneralizedfoodlimitedequationswithdelay |