An improved approach for studying oscillation of second-order neutral delay differential equations
Abstract The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they essentially improve the well-known results reported in the literature, including tho...
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SpringerOpen
2018-07-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1767-y |
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doaj-05a8a0dfc2834e2bbec9702c227a46dc2020-11-25T01:13:24ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018111310.1186/s13660-018-1767-yAn improved approach for studying oscillation of second-order neutral delay differential equationsSaid R. Grace0Jozef Džurina1Irena Jadlovská2Tongxing Li3Department of Engineering Mathematics, Faculty of Engineering, Cairo UniversityDepartment of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of KošiceDepartment of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of KošiceSchool of Information Science and Engineering, Linyi UniversityAbstract The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they essentially improve the well-known results reported in the literature, including those for non-neutral differential equations. The adopted approach refines the classical Riccati transformation technique by taking into account such part of the overall impact of the delay that has been neglected in the earlier results. The effectiveness of the obtained criteria is illustrated via examples.http://link.springer.com/article/10.1186/s13660-018-1767-yNeutral differential equationDelayed argumentSecond-orderRiccati substitutionOscillation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Said R. Grace Jozef Džurina Irena Jadlovská Tongxing Li |
| spellingShingle |
Said R. Grace Jozef Džurina Irena Jadlovská Tongxing Li An improved approach for studying oscillation of second-order neutral delay differential equations Journal of Inequalities and Applications Neutral differential equation Delayed argument Second-order Riccati substitution Oscillation |
| author_facet |
Said R. Grace Jozef Džurina Irena Jadlovská Tongxing Li |
| author_sort |
Said R. Grace |
| title |
An improved approach for studying oscillation of second-order neutral delay differential equations |
| title_short |
An improved approach for studying oscillation of second-order neutral delay differential equations |
| title_full |
An improved approach for studying oscillation of second-order neutral delay differential equations |
| title_fullStr |
An improved approach for studying oscillation of second-order neutral delay differential equations |
| title_full_unstemmed |
An improved approach for studying oscillation of second-order neutral delay differential equations |
| title_sort |
improved approach for studying oscillation of second-order neutral delay differential equations |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2018-07-01 |
| description |
Abstract The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they essentially improve the well-known results reported in the literature, including those for non-neutral differential equations. The adopted approach refines the classical Riccati transformation technique by taking into account such part of the overall impact of the delay that has been neglected in the earlier results. The effectiveness of the obtained criteria is illustrated via examples. |
| topic |
Neutral differential equation Delayed argument Second-order Riccati substitution Oscillation |
| url |
http://link.springer.com/article/10.1186/s13660-018-1767-y |
| work_keys_str_mv |
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