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https://ptsldigital.ukm.my/jspui/handle/123456789/499669Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Rokiah Rozita Ahmad, Assoc. Prof. Dr. | |
| dc.contributor.author | Fatima N. Ahmed Khalafalla (P58682) | |
| dc.date.accessioned | 2023-10-13T09:33:38Z | - |
| dc.date.available | 2023-10-13T09:33:38Z | - |
| dc.date.issued | 2014-05-08 | |
| dc.identifier.other | ukmvital:80989 | |
| dc.identifier.uri | https://ptsldigital.ukm.my/jspui/handle/123456789/499669 | - |
| dc.description | When delays appear in additional terms involving the highest order derivative of the unknown function in a differential equation, we are then dealing with a neutral type differential equation. The oscillation theory of neutral delay differential equations as a part of the qualitative theory of these types of equations has been developed rapidly in the past three decades. The problem of obtaining sufficient conditions for the oscillation and/or nonoscillation of solutions for neutral delay differential equations has attracted the attention of many mathematicians worldwide. To a large extent, this is due to its theoretical interest as well as to its importance in applications, especially in electric networks. Therefore, it is of great interest to improve and extend the established results relating to this subject. The main purpose of this study is to find oscillation criteria for some types of neutral delay differential equations. We present a systematic study on the oscillation theory of neutral delay differential equations and we analyze some existing theorems and previous conditions. Using some technique, we establish several sufficient conditions under which all solutions of the studied equations oscillate, aiming at extending and/or improving several well known results in the literature. In conclusion, a set of new oscillation theorems are stated and proved which and in some sense, generalize and improve many known results. Throughout this thesis, we give some remarks to explain how our improvements could upgrade the previous works in the oscillation theory. Finally, some illustrative examples are also provided to show the feasibility and effectiveness of the new results.,Apabila tundaan muncul dalam sebutan tambahan yang melibatkan peringkat terbitan tertinggi bagi fungsi tak diketahui dalam suatu persamaan pembezaan, maka ia dinamai persamaan pembezaan tunda neutral. Teori ayunan merupakan sebahagian daripada teori kualitatif bagi persamaan jenis tersebut telah dibangunkan semenjak tiga dekad yang lalu. Masalah bagi mendapatkan syarat cukup bagi penyelesaian ayunan dan/atau bukan ayunan untuk persamaan pembezaan tunda neutral menjadi minat kajian. Ini bukan sahaja kerana tarikan secara teori tetapi juga wujud kepentingan dalam penggunaan terutamanya dalam bidang rangkaian elektrik. Objektif utama kajian ini adalah untuk mendapatkan kriteria ayunan bagi beberapa jenis persamaan pembezaan tunda neutral. Suatu kajian ke atas teori ayunan bagi persamaan pembezaan tunda neutral dibentangkan dan beberapa teorem sedia ada serta syarat yang terdahulu dianalisis. Beberapa syarat cukup dengan semua penyelesaian bagi persamaan yang dikaji bersifat ayunan dibangunkan, ditumpukan kepada melanjutkan dan/atau menambah baik beberapa hasil yang telah sedia diketahui dalam kajian lepas. Kesimpulannya, suatu set bagi teorem ayunan baharu dinyatakan dan dibuktikan yang menambah baik banyak hasil yang telah diketahui. Dalam tesis ini, beberapa penyataan ke atas penambahbaikan bagi kerja-kerja terdahulu dalam teori ayunan dibincangkan. Akhirnya, beberapa contoh disertakan bagi menggambarkan kebolehlaksanaan dan keberkesanan hasil yang baharu. | |
| dc.language.iso | eng | |
| dc.publisher | UKM, Bangi | |
| dc.relation | Faculty of Science and Technology / Fakulti Sains dan Teknologi | |
| dc.rights | UKM | |
| dc.subject | Differential equation | |
| dc.subject | Oscillation theory | |
| dc.subject | Neutral delay | |
| dc.subject | Dissertations, Academic -- Malaysia | |
| dc.subject | Universiti Kebangsaan Malaysia -- Dissertations | |
| dc.title | Oscillation results for first order neutral delay differential equations | |
| dc.type | Theses | |
| dc.format.pages | 154 | |
| dc.identifier.callno | QA856.K484 2014 tesis | |
| Appears in Collections: | Faculty of Science and Technology / Fakulti Sains dan Teknologi | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ukmvital_80989+SOURCE1+SOURCE1.0.PDF Restricted Access | 2.27 MB | Adobe PDF |  View/Open |
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