Riccati Technique for Oscillation of Half-linear/Emden-fowler Neutral Dynamic Equations
| dc.authorid | Sethi, Dr.Abhay Kumar/0000-0003-2808-2127 | |
| dc.authorscopusid | 7004348948 | |
| dc.authorscopusid | 57193519256 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 13105947900 | |
| dc.authorwosid | Tunç, Osman/Gre-9544-2022 | |
| dc.contributor.author | Saker, Samir H. | |
| dc.contributor.author | Sethi, Abhay K. | |
| dc.contributor.author | Tunc, Osman | |
| dc.contributor.author | Alzabut, Jehad | |
| dc.date.accessioned | 2025-05-10T17:20:54Z | |
| dc.date.available | 2025-05-10T17:20:54Z | |
| dc.date.issued | 2023 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Saker, Samir H.] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt; [Saker, Samir H.] New Mansoura Univ, Dept Math, Fac Sci, New Mansoura, Egypt; [Sethi, Abhay K.] Sambalpur Univ, Dept Math, Sambalpur 768019, India; [Tunc, Osman] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp, Campus, TR-65080 Van, Turkiye; [Alzabut, Jehad] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia; [Alzabut, Jehad] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye | en_US |
| dc.description | Sethi, Dr.Abhay Kumar/0000-0003-2808-2127 | en_US |
| dc.description.abstract | By using the Riccati technique, which reduces the higher order dynamic equations to a Riccati dynamic inequality, we will establish some new sufficient conditions for the oscillation of half-linear/Emden-Fowler neutral dynamic equation of the form (r(rho)((x(rho) + p(rho)x(tau(rho)))(Delta))(gamma))(Delta) + q(rho)x(a)(delta(rho)) + v(rho)x(beta)(eta(rho)) = 0, on a time scale T, where gamma, alpha, and beta are quotients of odd positive integers. An example with particular equation is constructed in consistent to the above equation and oscillation criteria are established for its solution. (c) 2023 All rights reserved. | en_US |
| dc.description.sponsorship | Rajiv Gandhi National Fellowship (UGC), New Delhi, India [F1-17.1/2013-14/RGNF-2013-14-SC-ORI-42425] | en_US |
| dc.description.sponsorship | The authors would like to express their gratitude to the anonymous reviewers who helped improving the contents of the paper. The second author is supported by Rajiv Gandhi National Fellowship (UGC), New Delhi, India, through the letter No. F1-17.1/2013-14/RGNF-2013-14-SC-ORI-42425, dated Feb. 6, 2014. J. Alzabut is thankful to Prince Sultan University and OST. IM Technical University for their endless support. | en_US |
| dc.description.woscitationindex | Emerging Sources Citation Index | |
| dc.identifier.doi | 10.22436/jmcs.029.04.07 | |
| dc.identifier.endpage | 398 | en_US |
| dc.identifier.issn | 2008-949X | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85142528876 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 387 | en_US |
| dc.identifier.uri | https://doi.org/10.22436/jmcs.029.04.07 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/10230 | |
| dc.identifier.volume | 29 | en_US |
| dc.identifier.wos | WOS:001123909400007 | |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | int Scientific Research Publications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Oscillation | en_US |
| dc.subject | Nonoscillation | en_US |
| dc.subject | Half-Linear/Emden-Fowler Neutral Dynamic Equation | en_US |
| dc.subject | Time Scales | en_US |
| dc.title | Riccati Technique for Oscillation of Half-linear/Emden-fowler Neutral Dynamic Equations | en_US |
| dc.type | Article | en_US |