Improved criteria for oscillation of noncanonical neutral differential equations of even order
Abstract In this work, we aim at studying the asymptotic and oscillatory behavior of even-order neutral delay noncanonical differential equations. To the best of our knowledge, most of the related previous works are concerned only with neutral equations in the canonical case. Our new oscillation cri...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03570-y |
| _version_ | 1819129332240482304 |
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| author | Elmetwally M. Elabbasy Osama Moaaz Higinio Ramos Ali Muhib |
| author_facet | Elmetwally M. Elabbasy Osama Moaaz Higinio Ramos Ali Muhib |
| author_sort | Elmetwally M. Elabbasy |
| collection | DOAJ |
| description | Abstract In this work, we aim at studying the asymptotic and oscillatory behavior of even-order neutral delay noncanonical differential equations. To the best of our knowledge, most of the related previous works are concerned only with neutral equations in the canonical case. Our new oscillation criteria essentially improve, simplify, and complement related results in the literature, especially those from a paper by Li and Rogovchenko (Abstr. Appl. Anal. 2014:395368, 2014). Some examples are presented that illustrate the importance of the new criteria. |
| first_indexed | 2024-12-22T08:42:02Z |
| format | Article |
| id | doaj.art-3cce3f9fe070453dae3b971e6877f26e |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T08:42:02Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-3cce3f9fe070453dae3b971e6877f26e2022-12-21T18:32:13ZengSpringerOpenAdvances in Difference Equations1687-18472021-09-012021111510.1186/s13662-021-03570-yImproved criteria for oscillation of noncanonical neutral differential equations of even orderElmetwally M. Elabbasy0Osama Moaaz1Higinio Ramos2Ali Muhib3Department of Mathematics, Faculty of Science, Mansoura UniversityDepartment of Mathematics, Faculty of Science, Mansoura UniversityScientific Computing Group, Universidad de SalamancaDepartment of Mathematics, Faculty of Science, Mansoura UniversityAbstract In this work, we aim at studying the asymptotic and oscillatory behavior of even-order neutral delay noncanonical differential equations. To the best of our knowledge, most of the related previous works are concerned only with neutral equations in the canonical case. Our new oscillation criteria essentially improve, simplify, and complement related results in the literature, especially those from a paper by Li and Rogovchenko (Abstr. Appl. Anal. 2014:395368, 2014). Some examples are presented that illustrate the importance of the new criteria.https://doi.org/10.1186/s13662-021-03570-yNeutral differential equationsEven orderOscillatory behaviorNoncanonical case |
| spellingShingle | Elmetwally M. Elabbasy Osama Moaaz Higinio Ramos Ali Muhib Improved criteria for oscillation of noncanonical neutral differential equations of even order Advances in Difference Equations Neutral differential equations Even order Oscillatory behavior Noncanonical case |
| title | Improved criteria for oscillation of noncanonical neutral differential equations of even order |
| title_full | Improved criteria for oscillation of noncanonical neutral differential equations of even order |
| title_fullStr | Improved criteria for oscillation of noncanonical neutral differential equations of even order |
| title_full_unstemmed | Improved criteria for oscillation of noncanonical neutral differential equations of even order |
| title_short | Improved criteria for oscillation of noncanonical neutral differential equations of even order |
| title_sort | improved criteria for oscillation of noncanonical neutral differential equations of even order |
| topic | Neutral differential equations Even order Oscillatory behavior Noncanonical case |
| url | https://doi.org/10.1186/s13662-021-03570-y |
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