On the monotonic properties and oscillatory behavior of solutions of neutral differential equations
In this work, we study new asymptotic properties of positive solutions of the even-order neutral differential equation with the noncanonical operator. The new properties are iterative, which means they can be used several times. We also use these properties to obtain new criteria for oscillation of...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-12-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2023-0123 |
| _version_ | 1797375994924892160 |
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| author | Masood Fahd Moaaz Osama Santra Shyam S. Fernandez-Gamiz Unai El-Metwally Hamdy |
| author_facet | Masood Fahd Moaaz Osama Santra Shyam S. Fernandez-Gamiz Unai El-Metwally Hamdy |
| author_sort | Masood Fahd |
| collection | DOAJ |
| description | In this work, we study new asymptotic properties of positive solutions of the even-order neutral differential equation with the noncanonical operator. The new properties are iterative, which means they can be used several times. We also use these properties to obtain new criteria for oscillation of the studied equation. |
| first_indexed | 2024-03-08T19:32:18Z |
| format | Article |
| id | doaj.art-409efc402a754f5ba5a6c3240ff7b912 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-03-08T19:32:18Z |
| publishDate | 2023-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-409efc402a754f5ba5a6c3240ff7b9122023-12-26T07:40:00ZengDe GruyterDemonstratio Mathematica2391-46612023-12-0156178779410.1515/dema-2023-0123On the monotonic properties and oscillatory behavior of solutions of neutral differential equationsMasood Fahd0Moaaz Osama1Santra Shyam S.2Fernandez-Gamiz Unai3El-Metwally Hamdy4Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptDepartment of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, IndiaNuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Vitoria-Gasteiz, SpainDepartment of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptIn this work, we study new asymptotic properties of positive solutions of the even-order neutral differential equation with the noncanonical operator. The new properties are iterative, which means they can be used several times. We also use these properties to obtain new criteria for oscillation of the studied equation.https://doi.org/10.1515/dema-2023-0123neutral differential equationsoscillatoryeven-ordernon-canonical case34c1034k11 |
| spellingShingle | Masood Fahd Moaaz Osama Santra Shyam S. Fernandez-Gamiz Unai El-Metwally Hamdy On the monotonic properties and oscillatory behavior of solutions of neutral differential equations Demonstratio Mathematica neutral differential equations oscillatory even-order non-canonical case 34c10 34k11 |
| title | On the monotonic properties and oscillatory behavior of solutions of neutral differential equations |
| title_full | On the monotonic properties and oscillatory behavior of solutions of neutral differential equations |
| title_fullStr | On the monotonic properties and oscillatory behavior of solutions of neutral differential equations |
| title_full_unstemmed | On the monotonic properties and oscillatory behavior of solutions of neutral differential equations |
| title_short | On the monotonic properties and oscillatory behavior of solutions of neutral differential equations |
| title_sort | on the monotonic properties and oscillatory behavior of solutions of neutral differential equations |
| topic | neutral differential equations oscillatory even-order non-canonical case 34c10 34k11 |
| url | https://doi.org/10.1515/dema-2023-0123 |
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